Abstract
δ-σ-OPERATION - A set-theoretic operation, the result of its application to a sequence (E n ) of sets can be noted thus:
where N is a system of sets of positive integers, called the base of the δ-σ-operation. See Descriptive set theory.
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References
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Vallée-Poussin, Ch. J. de la: ‘Sur l’approximation des fonctions d’une variable reélle et de leurs dériveés par des polynômes et des suites limiteés de Fourier’, Bull Acad Belg. 3 (1908), 193–254.
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Natanson, I.P.: Constructive function theory, 1. F. Ungar, 1964 (translated from the Russian).
Vallée-Poussin, Ch.J. de la: ‘Sut la meilleure approximation des fonctions d’une variable réelle par des expressions d’ordre donné’, C.R. Acad Sci. Paris Sér. I. Math. 166 (1918), 799–802.
Vallée-Poussin, Ch.J. de la: Leçons sur l’approximation des fonctions d’une variable réelle, Gauthier-Villars, 1919.
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Korovkin, P.P.: Linear operators and approximation theory, Hindushtan Publ. comp., Delhi, 1960 (translated from the Russian).
Nikol’skiĭ, S.M.: ‘Sur certaines méthodes d’approximation au moyen de sommes trigonométriques’, Izv. Akad. Nauk SSSR Ser. Mat. 4, no. 6 (1940), 509–520.
Stechkin, S.B.: ‘On de la Vallée-Poussin sums’, Dokl. Akad. Nauk SSSR 80, no. 4 (1951), 545–520 (in Russian).
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Efimov, A.V.: ‘On approximation of periodic functions by de la Vallée-Poussin sums’, Izv. Akad. Nauk SSSR Ser. Mat. 23, no. 5 (1959), 737–770 (in Russian).
Efimov, A.V.: ‘On approximation of periodic functions by de la Vallée-Poussin sums’, Izv. Akad. Nauk SSSR Ser. Mat. 24, no. 3 (1960), 431–468 (in Russian).
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Hardy, G.H.: Divergent series. Clarendon Press, 1949.
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Vallée-Poussin, Ch.J. de la: ‘Sur les polynômes d’approximation et la répresentation approchée d’un angle’, Bull Acad. Belg. 12 (1910), 808–845.
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Rham, G. de: Differentiable manifolds, Springer, 1984 (translated from the French).
Raghunathan, M.: Discrete subgroups of Lie groups, Springer, 1972.
Lehmann, D.: ‘Théorie homotopique des forms différentiélles (d’aprés D. Sullivnn)’, Astérisque 45 (1977).
Levich, B.G.: Theoretical physics, 2: Statistical physics. Electromagnetic processes in matter, North-Holland, 1971.
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Mendelson, E.: Introduction to mathematical logic, v. Nostrand, 1964.
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
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Chentsov, N.N.: Statistical decision rules and optimal conclusions, Moscow, 1972 (in Russian).
Wald, A.: Statistical decision functions, Wiley, 1950.
Berger, J.O.: Statistical decision theory. Foundations, concepts and models, Springer, 1980.
Davis, M.: Computability and unsolvability, McGraw-Hill, 1958.
Davis, M. (ed.): The undecidable, Raven Press, 1965.
Hermes, H.: Enumerability, decidability, computability, Springer, 1965.
Minsky, M.: Computation: finite and infinite machines, Prentice-Hall, 1972.
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Boltyanskiĭ, V.G. and Soltan, P.S.: The combinatorial geometry of various classes of convex sets, Kishinev, 1978 (in Russian).
Grünbaum, B.: ‘Borsuk’s problem and related questions’, in V.L. Klee (ed.): Convexity, Proc. Symp. Pure Math., Vol. 7, Amer. Math. Soc., 1963, pp. 271–284.
Grünbaum, B.: ‘Measures of symmetry for convex sets’, in V.L. Klee (ed.): Convexity, Proc. Symp. Pure Math., Vol. 7, Amer. Math. Soc., 1963, pp. 233–270.
Boltyanskiĭ, V.G. and Gokhberg, I.Ts.: Sätze und Probleme der Kombinatorische Geometrie, Deutsch. Verlag Wissenschaft., 1972 (translated from the Russian).
Landau, L.D. and Lifschitz, E.M.: Fluid mechanics, Pergamon, 1959.
Godounov, S. [S. Godunov], et al.: Résolution numérique des problèmes multidimensionells de la dynamique des gas, Mir, 1979 (translated from the Russian).
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1953.
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1953.
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Borevich, Z.I. and Shafarevich, I.R.: Zahlentheorie, Birkhäuser, 1966 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Curry, H.B.: Foundations of mathematical logic, McGraw-Hill, 1961
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Nevalinna, R.: Analytic functions, Springer, 1970 (translated from the German).
Hayman, W.: Meromorphic functions, Oxford Univ. Press, 1964.
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Lyusternik, L.A. and Sobolev, V.I.: Elements of functional analysis, Hindustan Publ. Comp., 1974 (translated from the Russian).
Akhiezer, N.I. and Glazman, I.M.: Theory of linear operators in a Hilbert space, 1-2, Pitman, 1981 (translated from the Russian).
Dunford, N. and Schwartz, J.: Linear operators, 1-2, Interscience, 1958-1963.
Riesz, F. and Szökefalvi-Nagy, B.: Functional analysis, F. Ungar, 1955 (translated from the French).
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Kamke, E.: Differentialgleichungen: Lösungsmethoden und Lösungen, 1, Chelsea, reprint, 1971.
Ovsyannikov, L.V.: Group analysis of differential equations, Acad. Press, 1982 (translated from the Russian).
Cohn, P.M.: Universal algebra, Reidel, 1981.
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955-1956 (translated from the Russian).
Magnus, W., Karras, A. and Solitar, D.: Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience, 1966.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Zaanen, A.C.: Linear analysis, North-Holland, 1956.
Jörgens, K.: Lineare Integraloperatoren, Teubner, 1970.
Donin, I.F.: ‘Construction of a versal family of deformations for holomorphic bundles over a compact complex space’, Math. USSR Sb. 23, no. 3 (1974), 405–416. (Mat. Sb. 94, no. 3 (1974), 430-443)
Douady, A.: ‘Le problème des modules pour les sous-espaces analytiques compacts d’un espace analytique donné’, Ann. Inst. Fourier 16 (1966), 1–95.
Douady, A.: ‘Le problème des modules locaux pour les espaces C-analytiques compacts’, Ann. Sci. Ecole Norm. Sup. 7, no. 4 (1974), 569–602.
Grauert, H.: ‘Ueber die Deformation isolierter Singularitäten analytischer Menge’, Invent. Math. 15, no. 3 (1972), 171–198.
Grauert, H.: ‘Der Satz von Kuranishi für kompakte komplexe Räume’, Invent. Math. 25, no. 2 (1974), 107–142.
Kodaira, K. and Spencer, D.C.: ‘On deformations of complex-analytic structures F, Ann. of Math. 67, no. 2 (1958), 328–401.
Kodaira, K. and Spencer, D.C.: ‘On deformations of complex-analytic structures II’, Ann. of Math. 67, no. 3 (1958), 403–466.
Kodaira, K. and Spencer, D.C.: ‘On deformations of complex-analytic structures III’, Ann. of Math. 71, no. 1 (1960), 43–76.
Kuranishi, M.: ‘New proof for the existence of locally complete families of complex structures’, in Proc. Conf. Complex Analysis, Minneapolis, 1964, Springer, 1965, pp. 142-154.
Moolgavkar, S.H.: ‘On the existence of a universal germ of deformations for elliptic pseudogroup structures on compact manifolds’, Trans. Amer. Math. Soc. 212, no. 485 (1975), 173–197.
Palamodov, V.P.: ‘Deformations of complex spaces’, Russian Math. Surveys 31, no. 3 (1976), 129–197. (Usphekhi Mat. Nauk 31 (1976), 129-194)
Schlessinger, M.: ‘Functors of Artin rings’, Trans. Amer. Math. Soc. 130 (1968), 208–222.
Gasqui, J. and Goldschmidt, H.: ‘Complexes of differential operators and symmetric spaces’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 797-828.
Gasqui, J. and Goldschmidt, H.:’ some rigidity results in the deformation theory of symmetric spaces’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 839-851.
Gasqui, J. and Goldschmidt, H.: Deformations infinitesimals des structures conformes plates, Birkhäuser, 1984.
Hermann, R.: ‘Geometric and Lie-theoretic principles in pure and applied deformation theory’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 701-796.
Pommaret, J.F.: ‘Deformation theory of geometric and algebraic structures’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 829-838.
Kodaira, K.: Complex manifolds and deformations of complex structures, Springer, 1986.
Artin, M.: ‘Algebraic approximation of structures over complete local rings’, Publ. Math. IHES 36 (1969), 23–58.
Dolgachev, I.V. and Iskovskikh, V.A.: ‘Geometry of algebraic varieties’, Russian Math. Surveys 5, no. 6 (1976), 803–864. (Itogi Nauk. i Tekhn. Algebra Topol. Geom. 12 (1974), 77-170)
Schlessinger, M.: ‘Functors of Artin rings’, Trans. Amer. Math. Soc. 130 (1968), 208–222.
Grothendieck, A. (ed.): Révètement étales et groupe fondamental, SGA 7, Lecture notes in mathematics, 224, Springer, 1971.
Rim, D.S.: ‘Formal deformation theory’, in A. Grothendieck (ed.): Groupes de monodromie en géométrie algébrique, SGA 7, Lecture notes in mathematics, 288, Springer, 1972, pp. 32-132.
Mumford, D.: O. Zariski (ed.): Algebraic surfaces. Springer, 1971, pp. 118-128.
Nijenhuis, A. and Richardson, R.W., Jr.: ‘Cohomology and deformations in graded Lie algebras’, Bull. Amer. Math. Soc. 72, no. 1 (1966), 1–29.
Nuenhuis, A. and Richardson, R.W., Jr.: ‘Deformations of homomorphisms of Lie groups and Lie algebras’, Bull. Amer. Math. Soc. 73, no. 1 (1967), 175–179.
Gerstenhaber, M.: ‘On the deformation of rings and algebras’, Ann. of Math. 79 (1964), 59–103.
Knudson, D.: ‘On the deformation of commutative algebras’, Trans. Amer. Math. Soc. 140 (1969), 55–70.
Inönü, E. and Wigner, E.P.: ‘On the contraction of groups and their representations’, Proc. Nat. Acad. Sci. USA 39, no. 6 (1953), 510–524.
Hermann, R.: Lie groups for physicists, Benjamin, 1966.
Gerstenhaber, M. and Shack, D.: ‘Algebraic cohomology and deformation theory’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 11-264.
Rochberg, R.: ‘Deformation theory for algebras of analytic functions’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 501-536.
Christensen, E.: ‘Close operator algebras’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 537-556.
Jarosz, K.: Perturbations of Banach algebras, Springer, 1985.
Johnson, B.E.: ‘Perturbations of multiplication and homomorphisms’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 565-579.
Lichnerowicz, A.: ‘Applications of the deformations of algebraic structures to geometry and mathematical physics’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 855-896.
Bayen, F., Flato, M., Fronsdal, G, Lichnerowicz, A. and Sternheimer, D.: ‘Deformation theory and quantization’, Ann. of Physics 111 (1978), 61–110; 111-151.
de Wilde, M. and Lecomte, P.: ‘Invariant deformations of the Poisson Lie algebra of a symplectic manifold and starproducts’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 897-960.
Goze, M.: ‘Perturbations of Lie algebra structures’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 265-356.
Ancochea Bermudez, J.M.: ‘On the rigidity of solvable Lie algebras’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 403-446.
Babbitt, D.G. and Varadarajan, V.S.: ‘Local isoformal deformation theory for meromorphic differential equations near an irregular singularity’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988, pp. 583-700.
Hazewinkel, M. and Gerstenhaber, M. (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988.
Kagan, V.F.: Foundations of the theory of surfaces, 2, Moscow-Leningrad, 1948 (in Russian).
Shulikovskiĭ, V.I.: Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Efimov, N.V.: ‘Qualitative problems of the ‘local’ deformation of surfaces’, Trudy Mat. Inst. Steklov. 30 (1949) (in Russian).
Efimov, N.V.: ‘Qualitative problems of the theory of deformation of surfaces’, Uspekhi Mat. Nauk 2, no. 3 (1948), 47–158 (in Russian).
Pogorelov, A.V.: Die Verbiegung konvexer Flächen, Akademie-Verlag, 1957 (translated from the Russian).
Blaschke, W.: Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. Elementare Differentialgeometrie, 1, Springer, 1921.
Cohn-Vossen, S.E.: Some problems of differential geometry in the large, Moscow, 1959 (in Russian).
Pogorelov, A.V.: Extrinsic geometry of convex surfaces, Amer. Math. Soc., 1973 (translated from the Russian).
Huck, H., Roitsch, R., Simon, U., Vortisch, W., Walden, R., Wegner, B. and Wendland, W.: Beweismethoden der Differentialgeometrie im Grossen, Springer, 1973.
Efimov, N.V.: Flachenverbiegung im Grössen, Akad. Verlag, 1957 (translated from the Russian).
Bianchi, L.: Vorlesungen über Differentialgeometrie, Teubner, 1910.
Darboux, G.: Leçons sur la théorie générale des surfaces, 1-4, Chelsea, reprint, 1972.
Hilbert, D.: ‘Ueber Flächen von konstanter Gausscher Krümmung’, Trans. Amer. Math. Soc. 2 (1901), 87–99.
Peterson, K.M.: Mat. Sb. 1 (1866), 391–438.
Kagan, V.F.: Foundations of the theory of surfaces, Moscow-Leningrad, 1948, Chapt. 2 (in Russian).
Finikov, S.P.: Deformation over a principal base and related problems in geometry, Moscow-Leningrad, 1937 (in Russian).
Luzin, N.N.: ‘Proof of a theorem in deformation theory’, Izv. Akad. Nauk. SSSR Otd Tekhn. Nauk 2 (1939), 81–105 (in Russian).
Luzin, N.N.: ‘Proof of a theorem in deformation theory’, Izv. Akad. Nauk. SSSR Otd Tekhn. Nauk 7 (1939), 115–132 (in Russian).
Luzin, N.N.: ‘Proof of a theorem in deformation theory’, Izv. Akad. Nauk. SSSR Otd Tekhn. Nauk 10 (1939), 65–84 (in Russian)
Landau, L.D. and Lifshits, E.M.: Theory of elasticity, Pergamon, 1959 (translated from the Russian).
[Soviet]_Physical Encyclopedic Dictionary, 1, Moscow, 1960, p. 553 (in Russian).
Eringen, A.C.: Mechanics of continua, Pergamon, 1967.
Bendixson, I.: ‘Sur les courbes définies par des équations différentielles’, Acta Math. 24 (1901), 1–88.
Andronov, A.A., Leontovich, E.A., Gordon, I.I. and Maier, A.G.: Qualitative theory of second-order dynamic systems, Wiley, 1973 (translated from the Russian).
Frommer, M.: ‘Die Integralkurven einer gewöhnlichen Differentialgleichung erster Ordnung in der Umgebung rationaler Unbestimmtheitsstellen’, Math. Ann. 99 (1928), 222–272.
Nemytskii, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Bryuno, A.A.: ‘Stepwise asymptotic solutions of non-linear systems’, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 329–364 (in Russian).
Hirsch, M.W. and Smale, S.: Differential equations, dynamical systems and linear algebra, Acad. Press, 1974.
Hale, J.K.: Ordinary differential equations, Wiley, 1980.
Dresher, M., Karlin, S. and Shapley, L.S.: ‘Polynomial games’, in Contributions to the theory of games I, Ann. Math. Studies, Vol. 24, Princeton Univ. Press, 1950, pp. 161-180.
Gale, D. and Gross, O.: ‘A note on polynomial and separable games’, Pacific J. Math. 8, no. 4 (1958), 735–741.
Mikhlin, S.G.: Linear integral equations, Hindushtan Publ.
Moiseiwrrsch, B.L.: Integral equations, Longman, 1977.
Hochstadt, H.: Integral equations, Wiley (Interscience), 1973.
Kantorovich, L.V. and Krylov, V.I.: Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Russian).
Zabreyko, P.P., et al.: Integral equations-a reference text, Noordhoff, 1958 (translated from the Russian).
Goldberg, S. and Gohberg, I. [I. Gokhberg]: Basic operator theory, Birkhäuser, 1981.
Hochstadt, H.: Integral equations, Wiley (Interscience), 1973, Sect. 2.5.
Goldberg, S. and Gohberg, I. [I. Gokhberg]: Basic operator theory, Birkhäuser, 1981.
Kantorovich, L.V. and Krylov, V.I.: Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Russian).
Zabretko, P.P., et al.: Integral equations-a reference text, Noordhoff, 1958 (translated from the Russian).
Kantorovich, L.V. and Krylov, V.I.: Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Russain).
Baker, C.T.H.: The numerical treatment of integral equations, Clarendon Press, 1977, Chapt. 4.
Atkinson, K.E.: A survey of numerical methods for the solution of Fredholm integral equations of the second kind, SIAM, 1976.
Goldberg, S. and Gohberg, I. [I. Gokhberg]: Basic operator theory, Birkhäuser, 1981.
Moiseiwitsch, B.L.: Integral equations, Longman, 1977.
Oleĭnik, O.A. and Radkevich, E.V.:’ second-order equations with nonnegative form’, Itogi Nauk. Mat. Anal. (1971), 7-252 (in Russian).
Smirnov, M.M.: Degenerate elliptic and hyperbolic equations, Moscow, 1966 (in Russian).
Gel’fand, I.M. and Naĭmark, N.A.: Unitàre Darstellungen der Klassischen Gruppen, Akademie Verlag, 1957 (translated from the Russian).
Gross, K.I.: ‘The dual of a parabolic subgroup and a degenerate principal series of Sp(n, C)’ Amer. J. Math. 93, no. 2 (1971), 398–428.
Speh, B. and Vogan, D.A., jr.: ‘Reducibility of general principal series representations’. Acta Math. 145 (1980), 227–299.
Vogan, D.A., jr.: ‘The unitary dual of GL(n) over an archimedean field’, Invent Math. 83 (1986), 449–505.
Ney, P.E. and Athreya, K.B.: Branching processes, Springer, 1972.
Harris, T.E.: The theory of branching processes, Springer, 1963.
Dold, A.: Lectures on algebraic topology, Springer, 1980.
Milnor, J.: Topology from the differentiable viewpoint, Univ. Press of Virginia, 1965.
Arnol’d, V.I., Varchenko, A.N. and Husein-Zade, S.M.: Singularities of differentiable maps, Birkhäuser, 1985 (translated from the Russian).
Eisenbud, D. and Levine, H.: ‘An algebraic formula for the degree of a C∞ map germ’, Ann. of Math. 106, no. 1 (1977), 19–38.
Wallace, A.: Differential topology, Benjamin, 1968.
Coolidge, J.L.: A treatise on the circle and the sphere, Clarendon Press, 1916.
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Shoenfield, J.: Degrees of unsolvability, North-Holland, 1971.
Sacks, G.E.: Degrees of unsohability, Princeton Univ. Press, 1963.
Muchnik, A.A.: ‘On the unsolvability of the reducibility problem in the theory of algorithms’, Dokl. Akad. Nauk SSSR 108, no. 2 (1956), 194–197 (in Russian).
Friedberg, R.M.: ‘Two recursively enumerable sets of incomparible degrees of unsolvability (solution of Post’s problem)’, Proc. Nat. Acad Sci. USA 43 (1957), 236–238.
Lachlan, A.H.: ‘Distributive intial segments of the degrees of unsolvability’, Z Math. Logik und Grundl. Math. 14 (1968), 457–472.
Dehn, M.: ‘Ueber die Topologie des dreidimensionalen Raumes’, Math. Ann. 69 (1910), 137–168.
Papakyriakopoulos, C.D.: ‘On Dehn’s lemma and the asphericity of knots’, Ann. of Math. 66 (1957), 1–26.
Stallings, J.: Group theory and three-dimensional manifolds, Yale Univ. Press, 1971.
Massey, W.S.: Algebraic topology: an introduction, Springer, 1977.
Hurwitz, A. and Courant, R.: Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen, Springer, 1964, Chapt. 3, Abschnitt 2.
Bateman, H. and Erdélyi, A.: Higher transcendental functions. Bessel functions, 2, McGraw-Hill, 1953, Chapt. 13.
Schwartz, L.: Théorie des distributions, Hermann, 1966.
Gelfand, I.M. and Shilov, G.F.: Generalized functions, 1. Properties and operations, Acad. Press, 1964.
Ivanenko, D. and Sokolov, A.: Classical field theory, Mosow-Leningrad, 1951 (in Russian).
Morse, P.M. and Feshbach, H.: Methods of theoretical physics, McGraw-Hill, 1953.
Demoulin, A.: ‘Sur la théorie des lignes asymptotiques, etc.’, C.R. Acod. Sci. Paris 147 (1908), 493–496.
Bol, G.: Projektive Differentialgeometrie, 2, Vandenhoeck & Ruprecht, 1954.
Lane, E.P.: A treatise on projective differential geometry, Univ. of Chicago Press, 1942.
Demoulin, A.: ‘Sur les surfaces R et les surfaces Ω’, C.R. Acad Sci. Paris 153 (1911), 590–593.
Demouun, A.: ‘Sur les surfaces R et les surfaces Ω’, C.R. Acad. Sci. Paris 153 (1911), 705–707.
Demouun, A.: ‘Sur les surfaces R’, C.R. Acad Sci. Paris 153 (1911), 797–799.
Demouun, A.: ‘Sur les surfaces Ω’ C.R. Acad Sci. Paris 153 (1911), 927–929.
Finikov, S.P.: Projective-differential geometry, Moscow-Leningrad, 1937 (in Russian).
Norden, A.P.: Spaces with an affine connection, Nauka, Moscow-Leningrad, 1976 (in Russian).
Bol, G.: Projektive Differentialgeometrie, 2, Vandenhoeck & Ruprecht, 1954.
Lane, E.P.: A treatise on projective differential geometry, Univ. of Chicago Press, 1942.
Demoulin, A.: ‘Sut les systèmes conjugués persistants’, C.R. Acad. Sci. Paris 133 (1901), 986–990.
Finkov, S.P.: Bending and related geometrical problems, Moscow-Leningrad, 1937 (in Russian).
Kervaire, M.: ‘A manifold which does not admit any differentiable structure’, Comment. Math. Helv. 34 (1960), 257–270.
Kervaire, M. and Milnor, J.: ‘Groups of homotopy spheres. I’ Ann. of Math. 77, no. 3 (1963), 504–537.
Milnor, J.: ‘Differential topology’, in Lectures on modern mathematics, Vol. II, Wiley, 1964, pp. 165-183.
Hirzebruch, F., Neumann, W.D. and Koh, S.S.: Differentiable manifolds and quadratic forms, M. Dekker, 1971.
Browder, W.: Surgery on simply-connected manifolds, Springer, 1972.
Mandelbaum, R.: ‘Four-dimensional topology: an introduction’, Bull. Amer. Math. Soc. 2, no. 1 (1980), 1–159.
Denjoy, A.: ‘Une extension de l’integrale de M. Lebesgue’, C.R. Acad. Sci. 154 (1912), 859–862.
Denjoy, A.: ‘Calcul de la primitive de la fonction dérivée la plus générale’, C.R. Acad Sci. 154 (1912), 1075–1078.
Denjoy, A.: ‘Sur la dérivation et son calcul inverse’, C.R. Acad Sci. 162 (1916), 377–380.
Khintchine, A.Ya. [A.Ya. Khinchin]: ‘Sur une extension de l’integrale de M. Denjoy’, C.R. Acad Sci. 162 (1916), 287–291.
Khinchin, A.Ya.: ‘On the process of Denjoy integration’, Mat. Sb. 30 (1918), 543–557 (in Russian).
Denjoy, A.: Leçons sur le calcul des coefficients d’une série trigonométrique, 1-4, Gauthier-Villars, 1941-1949.
Vinogradova, I.A. and Skvortsov, V.A.: ‘Generalized Fourier series and integrals’, J. Soviet Math. 1 (1973), 677–703. (Itogi Nauk. Mat. Anal. 1970 (1971), 65-107)
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Choquet, G.: Outils topologiques et métriques de l’analyse mathématique, Centre de Documentation Univ. Paris, 1969.
Denjoy, A.: ‘Sur l’absolue convergence des séries trigonométriques’, C.R. Acad. Sci. 155 (1912), 135–136.
Luzin, N.N.: Mat. Sb. 28 (1912), 461–472.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1979.
Denjoy, A.: ‘Mémoire sur les nombres dérivés des fonctions continues’, J. Math. Pures Appl. (7) 1 (1915), 105–240.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Saks, S.: ‘Sur les nombres dérivées des fonctions’, Fund. Math. 5(1924), 98–104.
Young, G.C.: Quart. J. Math. 47 (1916), 148–153.
Young, G.C.: ‘On the derivatives of a function’, Proc. London Math. Soc. (2) 15 (1916), 360–384.
Davenport, H.: Multiplicative number theory, Springer, 1980.
Lavrik, A.F.: ‘A survey of Linnik’s large sieve and the density theory of zeros of L-functions’, Russian Math. Surveys 35, no. 2 (1980), 63–76. (Uspekhi Mat. Nauk 35, no. 2 (1980), 55-65)
Vinogradov, A.I.: ‘The density hypothesis for Dirichlet L-series’, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 903–934 (in Russian).
Vinogradov, A.I.: ‘Correction to The density hypothesis for Dirichlet L-series’, Izv. Akad. Nauk SSSR Ser. Mat. 30 (1966), 719–720 (in Russian).
Bombieri, E.: ‘On the large sieve’, Mathematika 12 (1965), 201–225.
Landau, L.D. and Lifshitz, E.M.: Statistical physics, Pergamon, 1980 (translated from the Russian).
Ruelle, D.: Statistical mechanics: rigorous results, Benjamin, 1974.
Prachar, K.: Primzahlverteilung, Springer, 1957.
Davenport, H.: Multiplicative number theory, Springer, 1980.
Halberstam, H. and Richert, H.-E.: Sieve methods, Acad. Press, 1974.
Ivic, A.: The Riemann zeta-function, Wiley, 1985.
Prohorov, Yu.V. [Yu.V. Prokhorov]_and Rozanov, Yu.A.: Probability theory. Springer, 1969 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1971.
Lehmann, E.I.: Testing statistical hypothesis, Wiley, 1986.
Gel’fond, A.O. and Linnik, Yu.V.: Elementary methods in the analytic theory of numbers, M.I.T., 1966 (translated from the Russian).
Ostmann, H.H.: Additive Zahlentheorie, Springer, 1956.
Natanson, I.P.: Theorie der Funktionen einer reellen Veränderlichen, H. Deutsch, Frankfurt a.M., 1961 (translated from the Russian).
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Tall, F.D.: ‘The density topology’, Pacific J. Math. 62 (1976), 275–284.
Prachar, K.: Primzahlverteilung, Springer, 1957.
Davenport, H.: Multiplicative number theory, Springer, 1980.
Lavrik, A.F.: ‘A survey of Linnik’s large sieve and the density theory of zeros of L-functions’ Russian Math. Surveys 35, no. 2 (1980), 63–76. (Uspekhi Mat. Nauk 35, no. 2 (1980), 55-65)
Ivic, A.: The Riemann zeta-function, Wiley, 1985.
Riordan, J.: An introduction to combinatorial analysis, Wiley, 1958.
Auslander, M. and Buchsbaum, D.A.: ‘Homological dimension in Noetherian rings’, Froc. Nat. Acad. Sci. USA 42 (1956), 36–38.
Serre, J.-P.: Algèbre locale. Multiplicités, Springer, 1965.
Grothendieck, A.: Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux, Sem. Géom. Alg., 2, IHES, 1965.
Bourbaki, N.: Algebra, Addison-Wesley, 1973 (translated from the French).
Jacobson, N.: The theory of rings, Amer. Math. Soc., 1943.
Lang, S.: Algebra, Addison-Wesley, 1974.
Mordeson, J. and Vinograde, B.: Strucuture of arbitrary purely inseparable extension fields, Springer, 1970.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Mathematical theory of logical deduction, Moscow, 1967 (in Russian). Bundle of translations.
Grzegorczyk, A.: An outline of mathematical logic, Reidei, 1974.
Rosser, J.B.: Logic for mathematicians, McGraw-Hill, 1953.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Grothendieck, A.: Revêtements étales et groupe fondamentale, Springer, 1971.
Grothendieck, A.: ‘Eléments de géométrie algébrique IV. Etude locale des schemes et des morphismes de schémes’, Publ. Math. IHES 20 (1964).
Kahler, E.: Algebra und Differentialrechnung, Deutsch. Verlag Wissenschaft., 1958.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Choquet, G.: Outils topologiques et métriques de l’analyse mathématique, Centre de Documentation Univ. Paris, 1969.
Kakutani, S.: ‘Induced measure preserving transformations’, Proa Japan. Acad. 19 (1943), 635–641.
Petersen, K.: Ergodic theory, Cambridge Univ. Press, 1983, p. 39.
Beilinson, A.A., Bernstein, J. and Deligne, P.: ‘Faisceaux pervers’, Astérisque. Analyse et topologie sur les espaces singuliers (I) 100 (1982).
Borel, A., et al.: Intersection cohomology, Birkhäuser, 1984.
Deligne, P.: ‘Cohomology à supports propres’, in Sem. Geom. Alg. 4. Exp. 17, Lecture notes in math., Vol. 305, Springer, 1973, pp. 82-115.
Grivel, P.-P.: ‘Catégories dérivées et foncteurs dérivés’, in A. Borei et al. (eds.): Algebraic D-modules, Acad. Press, 1987, pp. 1-108.
Hartshorne, R.: Residues and duality, Springer, 1966.
Iversen, B.: Cohomology of sheaves, Springer, 1986.
Verdier, I.-L.: ‘Categories dérivées, Etat O’, in Sem. Geom. Alg. 41 /2. Cohomologie etale, Lecture notes in math., Vol. 569, Springer, 1977, pp. 262-311.
Verdier, J.-L.: Dualité dans la cohomologie des espaces localement compacts, Sem. Bourbaki. Exp 300, 1965-1966.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Bosse, A.: Manière universelle de m-r Desargues, pour pratiquer la perspective par petit-pied comme le geometral, Paris, 1648.
Hilbert, D.: Grundlagen der Geometrie, Springer, 1913.
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Artin, E.: Geometric algebra, Interscience, 1957.
Pedoe, D.: A course of geometry, Cambridge Univ. Press, 1970.
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Buseman, H.: The geometry of geodesics, Acad. Press, 1955.
Pogorelov, A.V.: Hilbert’s fourth problem, Winston & Wiley, 1979 (translated from the Russian).
Hughes, D.R. and Piper, F.C.: Projectile planes, Springer, 1973.
Descartes, R.: Géométrie, Leyden, 1637.
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Lawrence, J.D.: A catalog of special plane curves, Dover, reprint, 1972.
Fladt, K.: Analytische Geometrie spezieller ebener Kurven, Akad. Verlagsgesell., 1962.
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian
Kostrkin, A.I.: Introduction to algebra, Springer, 1982 (translated from the Russian).
Kantorovich, L.V. and Akilov, G.P.: Functionalanalysis in normierten Räumen, Akad. Verlag, 1964 (translated from the Russian).
Zoutendijk, G.: Methods of feasible directions, Elsevier, 1970.
Pshenichnyĭ, B.N. and Danilin, Yu.M.: Numerical methods in extremal problems, Mir, 1978 (translated from the Russian).
Polyak, B.T.: ‘Gradient methods for the minimization of functionals, USSR Comp. Math. Math. Physics 3, no. 4 (1963), 864–878. (Zh. Vychisl. Mat. i Mat. Fiz. 3, no. 4 (1963), 643-654
Ortega, J.M. and Rheinboldt, W.C.: Iterative solution of nonlinear equations in several variables, Acad. Press, 1970.
Monge, G.: Géométrie descriptive, Paris, 1820.
Glagolev, N.A.: Descriptive geometry, Moscow, 1953 (in Russian).
A course of descriptive geometry, Moscow, 1956.
Rehbock, F.: Darstellende Geometrie, Springer, 1969.
Leighton Wellman, B.: Technical descriptive geometry, McGraw-Hill, 1957.
Bret, M.: Images de synthèse. Méthodes et algorithmes pour la réalisation d’images numériques, Dunod, 1988.
Penna, M.A. and Patterson, R.R.: Projective geometry and its applications to computer graphics, Prentice Hall, 1986.
Aleksandroff, P.S. [P.S. Aleksandrov]: ‘Sur la puissance des ensembles mesurables B’, C.R Acad Sci. Paris 162 (1916), 323–325.
Souslin, M. Ya. [M.Ya. Suslin]: ‘Sur une définition des ensembles measurables B sans nombres transfinis’, C.R Acad. Sci. Paris 164 (1917), 88–90.
Lusin, N.N. [N.N. Luzin]: Leçons sur les ensembles analytique, Gauthier-Villars, 1930.
Lyapunov, A.A.: ‘On P.S. Novikov’s work in the field of descriptive set theory’, Proc. Steklov Inst. Math. 33 (1973), 9–20. (Trudy Mat. Inst. Steklov. 133(1973), 11-22)
Ochan, Yu. S.: ‘The theory of operations over sets’, Uspekhi Mat. Nauk 10, no. 3 (1955), 71–128 (in Russian).
Kuratowski, K.: Topology, 1, Acad. Press, 1966 (translated from the French).
Aleksandrov, P.S.: Fund Math. 5 (1924), 160–165.
Kolmogorov, A.N.: Mat. Sb. 35, no. 3-4 (1925), 415–422.
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Ljapunow, A.A. [A.A. Lyapunov], Stschegolkow, E.A. [E.A. Shchegolkov] and Arsenin, W.J. [V.Ya. Arsenin]: Arbeiten zur deskriptiven Mengenlehre, Deutsch. Verlag Wissenschaft., 1955 (translated from the Russian).
Ponomarev, V.I.: ‘Borei sets in perfectly normal bicompacta’, Soviet Math. Dokl. 7, no. 5 (1966), 1236–12. (Dokl. Akad. Nauk SSSR 170, no. 3 (1966), 520-523)
Aleksandrov, P.S. and Urysohn, P.S.: ‘Ueber nulldimensionalen Punktmengen’, Math. Ann. 98 (1927), 89–106.
Keldysh, L.V.: Trudy Mat. Inst. Steklov. 17 (1945), 1–76.
Michael, E. and Stone, A.H.: ‘Quotients of the space of irrationals’, Pacific J. Math. 28, no. 3 (1969), 629–633.
Arkhangel’skiĭ, A.V.: ‘Open and near open mappings. Connections between spaces’, Trans. Moscow Math. Soc. 15 (1966), 204–250. (Trudy Moskov. Mat. Obshch. 15(1966), 181-223)
Stone, A.H.: ‘Non-separable Borei sets II’, General Topology and its Applications 2 (1972), 249–270.
Frolik, Z.: ‘A survey of separable descriptive theory of sets and spaces’, Czechoslovak. Math. 20 (1970), 406–467.
Sierpinski, W.: Les ensembles projectifs et analytiques, Gauthier-Villars, 1950.
Bourbaki, N.: Elements of mathematics. General topology, 2, Addison-Wesley, 1966 (translated from the French).
Choquet, G.: Outils topologiques et métriques de l’analyse mathématique, Centre de Documentation Univ. Paris, 1969.
Christensen, J.P.R.: Topology and Borei structure, North-Holland, 1977.
Dellacherie, C. and Meyer, P.A.: Probabilities and potential, 1-3, North-Holland, 1978-1988 (translated from the French).
Barwise, J. (ed.): Handbook of mathematical logic, North-Holland, 1977.
Kechris, A.S. and Louveau, A.: Descriptive set theory and the structure of sets of uniqueness, Cambridge Univ. Press, 1988.
Louveau, A.: ‘Ensembles analytiques et boréliens dans les espaces produits’, Astérique 78 (1980).
Moschovakis, Y.N.: Descriptive set theory, North-Holland, 1980.
Rogers, C.A., Jayne, J.E., Dellacherie, C., Tøpsoe, F., Hoffman-Jørgensen, J., Martin, D.A., Kechris, A.S. and Stone, A.H.: Analytic sets, Acad. Press, 1980.
Mansfield, R. and Veitkamp, G.: Recursive aspects of descriptive set theory, Oxford Univ. Press, 1985.
Martin, D.A.: ‘Descriptive set theory: projective sets’, in J. Barwise (ed.): Handbook of mathematical logic, North-Holland, 1977, pp. 783-815.
Jech, T.: Set theory, Acad. Press, 1978, Chapt. 7.
Nalimov, V.V. and Chernova, N.A.: Statistical methods of designing extremal experiments, Moscow, 1965 (in Russian).
Fedorov, V.V.: Theory of optimal experiments, Acad. Press, 1972 (translated from the Russian).
Hicks, C.: Basic principles of experiment design, Moscow, 1967 (in Russian; translated from the English).
Finney, D.: An introduction to the theory of experimental design, Univ. Chicago Press, 1960.
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Kostrikin, A.I.: An introduction to algebra, Moscow, 1977 (in Russian).
Efimov, N.V. and Rozendorn, E.R.: Linear algebra and multi-dimensional geometry, Moscow, 1970 (in Russian).
Tyshkevich, R.I. and Fedenko, A.S.: Linear algebra and analytic geometry, Minsk, 1976 (in Russian).
Artin, E.: Geometric algebra, Interscience, 1957.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt.1; 2 (translated from the French).
Kagan, V.F.: Foundations of the theory of determinants, Odessa, 1922 (in Russian).
Dieudonné, J.A.: La géométrie des groups classiques, Springer, 1955.
Hoffman, K. and Kunze, R.: Linear algebra, Prentice Hall, 1961.
Koecher, M.: Lineare Algebra und analytische Geometrie, Springer, 1983.
Lang, S.: Linear algebra, Addison-Wesley, 1970.
Hochster, M. and Eagon, I.: ‘Cohen—Macaulay rings, invariant theory, and the generic perfection of detenninantal loci’, Amer. J. Math. 93, no. 4 (1971), 1020–1058.
Kleiman, S. and Landolfi, J.: ‘Geometry and deformation of Special Schubert varieties’, Compositio Math. 23 (1971), 407–434.
Laksov, D.: ‘Deformation of determinantal schemes’, Compositio Math. 30 (1975), 273–292.
Musili, G.: ‘Some properties of Schubert varieties’, J. Indian Math. Soc. 38 (1974), 131–145.
Svanes, T.: ‘Coherent cohomology on Schubert subschemes of flag schemes and applications’, Adv. in Math. 14 (1974), 369–453.
Room, T.G.: Geometry of determinantal loci, Cambridge Univ. Press, 1938.
Hsiung, C.C.: A first course in differential geometry, Wiley, 1981.
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Chebyshev, P.L.: Complete collected works, 2, Moscow-Leningrad, 1947 (in Russian).
Natanson, I.P.: Constructive function theory, 1-3, F. Ungar, 1964-1965 (translated from the Russian).
Goncharov, V.L.: The theory of interpolation and approximation of functions, Moscow, 1954 (in Russian).
Achiezer, N.I. [N.I. Akhiezer]: Theory of approximation, F. Ungar, 1956 (translated from the Russian).
Nikol’skiĭ, S.M.: Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian).
Cheney, E.W.: Introduction to approximation theory, Chelsea, reprint, 1982.
Schönhage, A.: Approximationstheorie, de Gruyter, 1971.
Hardy, G. H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Perron, O.: Die Lehre von den Kettenbrüchen, I, Teubner, 1977.
Kargapolov, M.I. and Merzlyakov, Yu. I.: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Singer, I.: Bases in Banach spaces, 1, Springer, 1970.
Wermer, J.: ‘On invariant subspaces of normal operators’, Proc. Amer. Math. Soc. 3, no. 2 (1952), 270–277.
Berg, I.D.: ‘An extension of the Weyl—von Neumann theorem to normal operators’, Trans. Amer. Math. Soc. 160 (1971), 365–371.
Takesaki, M.: Theory of operator algebras, 1, Springer, 1979, p. 259, 273.
Halmos, P.R.: A Hilbert space problem book, Springer, 1982.
Cantor, G.: ‘Ueber eine Eigenschaft des Inbegriffes aller reelen algebraischen Zahlen’, in Gesammelte Abhandlungen, G. 01ms, 1932, pp. 115-118.
Cantor, G.: ‘Ueber eine Eigenschaft des Inbegriffes aller reelen algebraischen Zahlen’, J. Reine Angew. Math. 77 (1874), 258–262.
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, Graylock, 1957-1961, (translated from the Russian).
Péter, R.: Rekursive Funktionen, Verlag Ungar. Akad. Wissenschaft., 1957.
Kleene, S.C.: Mathematical logic, Wiley, 1967.
Shoenfield, J.R.: Mathematical logic, Addison-Wesley, 1967.
čech, E.: ‘On bicompact spaces’, Ann. of Math. 38 (1937), 823–844.
Tichonoff, A.N. [A.N. Tikhonov]: ‘Lieber die topologische Erweiterung von Räumen’, Math. Ann. 102 (1929), 544–561.
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Tomita, T.: ‘Representations of operator algebras’, Math. J. Okayama Univ. 3 (1954). 147–173.
Naĭmark, M.A.: Normed algebras, Wolters-Noordhoff, 1972. 3rd American ed.
Takesaki, M.: Theory of operator algebras, I, Springer, 1979, p. 259, 273.
Demazure, M. and Gabriel, P.: Groupes algébriques, North-Holland, 1970.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Ono, T.: ‘Arithmetic of algebraic tori’, Ann. of Math. 74, no. 1 (1961), 101–139.
Humphreys, J.E.: Linear algebraic groups, Springer, 1975.
Grothendieck, A.: ‘Sur quelques points d’algèbre homologique’, Tohoku Math. J. 9 (1957), 119–221.
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
MacLane, S.: Categories for the working mathematician, Springer, 1971.
Lupanov, O.B.: ‘A method of circuit synthesis’, Izv. Vuzov. Radiofizika 1, no. 1 (1958), 120–140 (in Russian).
Lupanov, O.B.: ‘An approach to systems synthesis’, Probl. Kibernet. 14 (1963), 31–110 (in Russian).
Lupanov, O.B.: ‘Complexity of formula realization of functions of logical algebra’, Probl. Cybernetics 3 (1962), 782–811. (Probl. Kibernet. 3 (1960), 61-80)
Lupanov, O.B.: ‘A class of circuits of functional elements’, Probl. Kibernet. 7 (1962), 61–114 (in Russian).
Nechiporuk, E.I.: ‘On the complexity of networks in certain bases containing nontrivial elements with zero weights’, Probl. Kibernet. 8 (1962), 123–160 (in Russian).
Lupanov, O.B.: ‘On synthesis of circuits of threshold elements’, Probl. Kibernet. 26 (1973), 109–140 (in Russian).
Zakharova, E.Yu.: ‘On synthesis of circuits of threshold elements’, Probl. Kibernet. 9 (1963), 317–319 (in Russian).
Gashkov, S.B.: ‘On the depth of Boolean functions’, Probl. Kibernet. 34 (1978), 265–268 (in Russian).
Khrapchenko, V.M.: ‘Distinction and likeness between delay and depth’, Probl. Kibernet. 35 (1979), 141–168 (in Russian).
Lupanov, O.B.: ‘On circuits of functional elements with delays’, Probl. Kibernet. 23 (1970), 43–81 (in Russian).
Vaĭntsvaĭg, M.N.: ‘On power of circuits of functional elements’, Dokl. Akad. Nauk SSSR 139, no. 2 (1961), 320–323 (in Russian).
Kasim-Zade, O.M.: ‘On a complexity measure for gate networks’, Probl. Kibernet. 38 (1981), 117–179 (in Russian).
Kasim-Zade, O.M.: ‘On simultaneous minimization of the complexity and the power of gate networks’, Probl. Kibernet. 33 (1978), 215–220 (in Russian).
Savage, J.E.: The complexity of computing, Wiley (Interscience), 1976.
Perron, O.: ‘Stability of differential equations’, Math. Z 32, no. 5 (1930), 703–728.
Masserat, H.L. and Scheffer, H.H.: Linear differential equations and function spaces, Acad. Press, 1966.
Daletskiĭ, Yu.L. and Kreĭn, M.G.: Stability of solutions of differential equations in Banach space, Amer. Math. Soc., 1974 (translated from the Russian).
Anosov, D.V.: ‘Geodesic flows on closed Riemann manifolds with negative curvature’, Proc. Steklov Inst. Math. 90 (1969). (Trudy Mat. Inst. Steklov. 90 (1967))
Oseledec, V.I.: ‘A multiplicative ergodic theorem. Characteristic Lyapunov numbers for dynamical systems’, Trans. Moscow Math. Soc. 19 (1969), 197–232. (Trudy Moskov. Mat Obshch. 19 (1968), 179-210)
Demidovich, B.P. and Maron, I.A.: Foundations of computational mathematics, Moscow, 1966 (in Russian).
Wilde, D.J.: Optimum seeking methods, Prentice-Hall, 1964.
Atkinson, K.E.: An introduction to numerical analysis, Wiley, 1978.
Brent, H.: Algorithms for minimization without derivatives, Prentice-Hall, 1973.
Dekker, T.: ‘Finding a zero by successive linear interpolation’, in B. Dejon and P. Henrici (eds.): Constructive aspects of the fundamental theorem of algebra, Wiley, 1969, pp. 37-48.
Dickson, L.E.: ‘A new system of simple groups’, Math. Ann. 60 (1905), 137–150.
Chevalley, C.: ‘Sut certains groupes simples’, Tôhoku Math. J. 7 (1955), 14–66.
Carter, R.: Simple groups of Lie type, Wiley, 1972.
Dickson, L.E.: Linear groups, Teubner, 1901.
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wesley, 1975, Chapt. 4; 5; 6 (translated from the French).
Dieudonné, J.A.: La géométrie des groups classiques, Springer, 1955.
Dieudonné, J.: ‘lie groups and Lie hyperalgebras over a field of characteristic p>0. VI’, Amer. J. Math. 79, no. 2 (1957), 331–388.
Demazure, M. and Gabriel, P.: Groupes algébriques, 1, Masson, 1970.
Manin, Yu.I.: ‘The theory of commutative formal groups over fields of finite characteristic’, Russian Math. Surveys 28, no. 5 (1963), 1–83. (Uspekhi Mat. Nauk 18, no. 6 (1963), 3-90)
Berthelot, P. and Ogus, A.: Notes on crystalline cohomology, Princeton Univ. Press, 1978.
Hazewinkel, M.: Formal groups and applications, Acad. Press, 1978.
Cartier, P.: ‘Groups algébriques et groupes formels’, in Coll. sur la théorie des groupes algébriques. Bruxelles, 1962, CBRM, 1962, pp. 87-111.
Antonelli, P.L., Burghelea, D. and Kahn, P.J.: ‘The nonfinite homotopy type of some diffeomorphism groups’, Topology 11, no. 1 (1972), 1–49.
Thurston, W.: ‘Foliations and groups of diffeomorphisms’, Bull. Amer. Math. Soc. 80, no. 2 (1974), 304–307.
Mather, J.N.: ‘Commutators of diffeomorphisms’, Comm. Math. Helv. 49 no. 4 (1974), 512–528.
Mather, J.N.: ‘Commutators of diffeomorphisms II’, Comm. Math. Heb. 50, no. 1 (1975), 33–40.
Farrell, F.T. and Hsiang, W.C.: ‘On the rational homotopy groups of the diffeomorphism groups of disks, spheres and aspherical manifolds’, in R.J. Milgram (ed.): Algebraic and geometric topology, Proc. Symp. Pure. Math., Vol. 32.1, Amer. Math. Soc., 1978, pp. 325-328.
Burghelea, D. and Lashof, R.: ‘Geometric transfer and the homotopy type of the automorphism groups of a manifold’, Trans. Amer: Math. Soc. 269, no. 1 (1982), 1–38.
Browder, W.: Surgery on simply-connected manifolds, Springer, 1972.
Hirsch, M.W.: Differential topology, Springer, 1976.
Kirby, R.C. and Siebenmann, L.C.: Foundational essays on topological manifolds, smoothings, and triangulations, Princeton Univ. Press, 1977, pp. 155-213.
Milnor, J.: Lecture notes on the h-cobordism theorem, Princeton Univ. Press, 1965.
Moise, E.E.: Geometric topology in dimensions 2 and 3, Springer, 1977.
Munkres, J.: ‘Obstructions to smoothing of piecewisedifferentiable homeomorphisms’, Ann. of Math. 72 (1960), 521–554.
Smale, S.: ‘On the structure of manifolds’, Amer. J. Math. 84 (1962), 387–399.
Whitehead, G.W.: Elements of homotopy theory, Springer, 1978, p. 228.
Atiyah, M.F. and Hirzebruch, F.: ‘Analytic cycles on complex manifolds’, Topology 1 (1961), 28–45.
Atiyah, M.F., Bott, R. and Shapiro, A.: ‘Clifford modules’, Topology 3. Suppl. 1 (1964), 3–38.
Gelfond, A.O. [A.O. Gel’fond]: Differenzenrechnung, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Samarskii, A.A. and Nikolaev, E.S.: Methods for solving grid equations, Moscow, 1978 (in Russian).
Samarskii, A.A. and Karamzin, Yu.N.: Difference equations, Moscow, 1978 (in Russian).
Martynyuk, D.I.: Lectures on the qualitative theory of difference equations, Kiev, 1972 (in Russian).
Halanay, A. and Wexler, D.: Qualitative theory of impube systems, Acad. R.S. Romania, 1968 (translated from the Rumanian).
Samarskiĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Berezin, I.S. and Zhidkov, N.P.: Computing methods, 2, Pergamon, 1973 (translated from the Russian).
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Gorbunov, A.D.: Difference equations, Moscow, 1972 (in Russian).
Henrici, P.: Discrete variable methods in ordinary differential equations, Wiley, 1962.
Hildebrand, F.B.: Finite-difference equations and simulations, Prentice-Hall, 1968.
Spiegel, M.R.: Calculus of finite differences and difference equations, McGraw-Hill, 1971.
Milne-Thomson, L.M.: The calculus of finite differences, Chelsea, reprint, 1981.
Nörlund, N.E.: Volesungen über Differenzenrechnung, Springer, 1924.
Samarskiĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Samarskiĭ, A.A. and Andreev, V.B.: Difference methods for elliptic equations, Moscow, 1976 (in Russian).
Korneev, V.G.: Schemes for the finite element method with a high order of accuracy, Leningrad, 1977 (in Russian).
Aubin, J.-P.: Approximation of elliptic boundary-value problems, Wiley, 1972.
Samarskiĭ, A.A. and Fryazinov, I.V.: ‘Difference approximation methods for problems of mathematical physics’, Russian Math. Surveys 31, no. 6 (1976), 179–213. (Uspekhi Mat. Nauk 31, no. 6 (1976), 167-197)
Samarskiĭ, A.A. and Gulin, A.V.: Stability of difference schemes, Moscow, 1973 (in Russian).
Samarskiĭ, A.A. and Nikolaev, E.S.: Methods for solving grid equations, Moscow, 1978 (in Russian).
Karchevskiĭ, M.M. and Lyashko, A.D.: ‘Difference schemes for nonlinear multidimensional elliptic equations I’, Izv. Vyzov. Mat. 11 (1972), 23–31 (in Russian).
Karchevskiĭ, M.M. and Lyashko, A.D.: ‘Difference schemes for nonlinear multidimensional elliptic equations II’, Izv. Vyzov. Mat. 3 (1973), 44–52 (in Russian).
Godunov, S.K. and Ryaben’kiĭ, V.S.: The theory of difference schemes, North-Holland; 1964 (translated from the Russian).
Samarskiĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Samarskiĭ, A.A. and Nikolaev, E.S.: Methods for solving grid equations, Moscow, 1978 (in Russian).
Forsythe, G.E. and Wasow, W.R.: Finite difference methods for partial differential equations, Wiley, 1960.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Gladwell, I. and Wait, R.(eds.): A survey of numerical methods for partial differential equations, Clarendon Press, 1979.
Mitchell, A.R. and Griffiths, D.F.: The finite difference method in partial differential equations, Wiley, 1980.
Richtmeyer, R.D. and Morton, K.W.: Difference methods for initial value problems, Wiley, 1967.
Smith, G.D.: Numerical solution of partial differential equations, Oxford Univ. Press, 1977.
Yanenko, N.N.: The method of fractional steps, Springer, 1971 (translated from the Russian).
Oganesyan, L.A., Rivkind, V.Ya. and Rukhovets, L.A.: Variational-difference methods for solving elliptic equations, 1-2, Vil’nyus, 1973-1974 (in Russian).
Strang, G. and Fix, G.: An analysis of the finite element method, Prentice-Hall, 1973.
Aubin, J.-P.: Approximation of elliptic boundary-value problems, Wiley, 1972.
Varga, R.G.: Functional analysis and approximation theory in numerical analysis, SIAM, 1971 (translated from the Russian).
Mikhlin, S.G.: ‘Variational-grid approximation’, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. 48 (1974), 32-188 (in Russian).
Marchuk, G.I.: Methods of numerical mathematics, Springer, 1982 (translated from the Russian).
D’yakonov, E.G.: Difference methods for solving boundary value problems, Moscow, 1971 (in Russian).
Ciarlet, P.G.: Introduction to the numerical analysis of the finite element method, North-Holland, 1977.
Ciarlet, P.G.: The finite element method for elliptic problems, North-Holland, 1978.
Mitchell, A.R. and Wait, R.: The finite element method in partial differential equations, Wiley, 1973.
Marchuk, G.I.: Methods of numerical mathematics, Springer, 1982 (translated from the Russian).
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Samarskiĭ, A.A. and Popov, Y.P.: Difference methods for solving problems of gas dynamics, Moscow, 1980 (in Russian).
Godunov, S.K. and Ryaben’kiĭ, V.S.: The theory of difference schemes, North-Holland, 1964 (translated from the Russian).
Theoretical foundations and construction of numerical algorithms of problems of mathematical physics, Moscow, 1979 (in Russian).
Belotserkovskiĭ, O.M. and Davydov, Yu.M.: Dissipative properties of difference systems, Moscow, 1981 (in Russian).
Rozhdestvenskiĭ, B.L. and Yanenko, N.N.: Systems of quasilinear equations and their applications to gas dynamics, Amer. Math. Soc., 1983. (translated from the Russian).
Yanenko, N.N. and Shokin, Yu.L.: ‘On the approximation viscocity of difference schemes’, Soviet Math.-Dokl. 9 (1968), 1153–1155. (Dokl. Akad. Nauk SSSR 182, no. 2 (1968), 280-281)
Shokin, Yu.L.: The method of differential approximation, Springer, 1983 (translated from the Russian).
Davydov, Yu.M.: Differential approximations and representations of difference schemes, Moscow, 1981 (in Russian).
Davydov, Yu.M.: ‘Structure of approximate viscosity’, Sov. Phys.-Dokl. 24 (1979), 223–226. (Dokl. Akad. Nauk SSSR 245, no. 4 (1979), 812-817)
Belotserkovskiĭ, O.M. and Davydov, Yu.M.: The large particle method in gas dynamics, Moscow, 1982 (in Russian).
Hedström, G.W.: ‘Models of difference schemes for u t + u x=0 by partial differential equations’, Math. Comp. 29 (1975), 969–977.
Samarskiĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Samarskiĭ, A.A. and Nikolaev, E.S.: Methods for solving grid equations, Moscow, 1978 (in Russian).
Samarskiĭ, A.A. and Andreev, V.B.: Difference methods for elliptic equations, Moscow, 1976 (in Russian).
Samarskiĭ, A.A. and Gulin, A.V.: Stability of difference schemes, Moscow, 1973 (in Russian).
Samarskiĭ, A.A. and Popov, Yu.P.: Difference schemes of gas dynamics, Moscow, 1975 (in Russian).
Marchuk, G.I.: Methods of numerical mathematics, Springer, 1982 (translated from the Russian).
Godunov, S.K. and Ryaben’kiĭ, V.S.: The theory of difference schemes, North-Holland, 1964 (translated from the Russian).
Richtmyer, R.D. and Morton, K.: Difference methods for initial value problems, Interscience, 1967.
Gudovich, N.N.: ‘An abstract scheme for a difference method’, USSR Comp. Math. Math. Physics 6, no. 5 (1966), 185–194. (Zh. Vychisl Mat. i Mat. Fiz. 6, no. 5 (1966), 916-921)
Kuznetsov, N.N.: ‘Asymptotic behaviour of the solutions of the finite-difference Cauchy problem’, USSR Comp. Math. Math. Physics 12, no. 2 (1973), 65–86. (Zh. Vychisl. Mat. i Mat. Fiz. 12, no. 2 (1972), 334-351)
Tkhonov, A.N. and Samarskiĭ, A.A.: ‘Homogeneous difference schemes’, USSR Comp. Math. Math. Physics 1, no. 1 (1962), 5–67. (Zh. Vychisl. Mat. i Mat. Fiz. 1, no. 1 (1961), 5-63)
Rozhdestvenskii, B.L. and Yanenko, N.N.: Systems of quasilinear equations and their applications to gas dynamics, Amer. Math. Soc., 1983 (translated from the Russian).
Potter, D.: Computational physics, Wiley, 1973.
Mokin, Yu.L.: Two-layer parabolic and weakly parabolic difference schemes’, USSR Comp. Math. Math. Physics 15, no. 3 (1976), 111–121. (Zh. Vychsl. Mat. i Mat. Fiz. 15, no. 3 (1975), 661-671)
Fryazinov, I.V.: ‘Economic difference schemes for the two-dimensional equation of heat conduction with mixed derivatives’, USSR Comp. Math. Math. Physics 16, no. 4 (1977), 83–96. (Zh. Vychsl. Mat. i Mat. Fiz. 16, no. 4 (1976), 908-921)
Yanenko, N.N.: The method of fractional steps; the solution of problems of mathematical physics in several variables, Springer, 1971 (translated from the Russian).
Samarskiĭ, A.A.: ‘Additivity principle for the construction of efficient difference schemes’, Soviet Math. Dokl. 6 (1965), 1601–1605. (Dokl. Akad. Nauk SSSR 165, no. 6 (1965), 1253-1256)
Samarskiĭ, A.A. and Fryazinov, I.V.: ‘The method of summary approximation’, Beitr. Numer. Math. 4 (1975), 191–203 (in Russian).
Samarskiĭ, A.A.: ‘Homogeneous difference schemes for nonlinear parabolic equations’, USSR Comp. Math. Math. Phys. 2 (1964), 23–54. (Zh. Vychisl. Mat. i Mat. Fiz. 2, no. 1 (1962), 25-56)
Yakut, L.I.: ‘The theorems of Lax for nonlinear evolution equations’, Soviet Math. Dokl. 5, no. 3 (1964), 843–847. (Dokl. Akad. Nauk SSSR 156, no. 6 (1964), 1304-1307)
Ansorge, R. and Hass, R.: Konvergenz von Differenzenverfahren für lineare und nicht lineare Anfangswertaufgaben, Springer, 1970.
D’yakonov, E.G.: Difference methods for solving boundaryvalue problems, 2. Non-stationary problems, Moscow, 1972 (in Russian).
Karchevskiĭ, M.M. and Lyashko, A.D.: ‘Difference schemes for nonlinear multidimensional elliptic equations I’, Izv. Vyssh. Uchebn. Zaved Mat. 11 (1972), 23–31 (in Russian).
Karchevskiĭ, M.M. and Lyashko, A.D.: ‘Difference schemes for nonlinear multidimensional elliptic equations II’, Izv. Vyssh. Uchebn. Zaved. Mat. 3 (1973), 44–52 (in Russian).
Sapagovas, M.P.: ‘The method of finite differences for the solution of quasilinear elliptic equations with discontinuous coefficients’, USSR Comp. Math. Math. Phys. 5 (1968), 72–85. (Zh. Vychisl. Mat. i Mat. Fiz. 5, no. 4 (1965), 638-647)
Karchevskiĭ, M.M., Lapin, A.V. and Lyashko, A.D.: ‘Efficient difference schemes for quasilinear parabolic equations’, Izv. Vyssh. Uchebn. Zaved. Mat. 3 (1972), 23–31 (in Russian).
Lapin, A.V. and Lyashko, A.D.: ‘Investigation of difference schemes for a certain class of quasilinear parabolic equations’, Izv. Vyssh. Uchebn. Zaved. Mat. 1 (1973), 71–77 (in Russian).
Raviart, P.A.: ‘Sur l’approximation de certaines équations d’évolution linéaires et non linéaires’, J. Math. Pures Appl. 46, no. 1(1967), 11–107.
Raviart, P.A.: ‘Sur l’approximation de certaines équations d’évolution linéaires et non linéaires’, J. Math. Pures Appl. 46, no. 2(1967), 109–183.
Ryaben’kiĭ, V.S. and Filippov, A.F.: Ueber die Stabilität von Differenzengleichungen, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Brandt, A.: ‘Multi-grid adaptive technique (MLAT) for fast numerical solutions to boundary value problems’, in H. Cabannes and R. Teman (eds.): Proc. 3-rd Internat Conf. Numer. Methods in Fluid Mechanics, Springer, 1977, pp. 82-89.
Briggs, W.L.: A multigrid tutorial, SIAM, 1987.
Fedorenko, R.P.: ‘A relaxation method for solving elliptic difference equations’, USSR Comp. Math. Math. Physics 1, no. 5 (1962), 1092–1096. (Zh. Vychisl. Mat. i Mat. Fiz. 1, no. 5(1961), 922-927)
Forsythe, G.E. and Wasow, W.R.: Finite difference methods for partial differential equations, Wiley, 1960.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Gladwell, I. and Wait, R. (eds.): A survey of numerical methods for partial differential equations, Clarendon Press, 1979.
Hackbush, W.: Multigrid methods and applications, Springer, 1985.
Mitchell, A.R. and Griffiths, D.F.: The finite difference method in partial differential equations, Wiley, 1980.
Richtmeyer, R.D. and Morton, K.W.: Difference methods for initial value problems, Wiley, 1967.
Smith, G.D.: Numerical solution of partial differential equations, Oxford Univ. Press, 1977.
Bank, R.E. and Rose, D.J.: ‘Marching algorithms for elliptic boundary value problems’, SIAM J. Numer. Anal. 14 (1977), 792–829.
Doolan, E.P., Miller, J.J.H. and Schilders, W.H.A.: Uniform numerical methods for problems with initial and boundary layers, Boole Press, 1980.
Birkhoff, G. and Lynch, R.E.: Numerical solution of elliptic problems, SIAM, 1984.
Baumert, L.D.: Cyclic difference sets, Springer, 1971.
Hall, M.: ‘Difference sets’, in Combinatorics. 3 Combinatorial group theory. Proc. NATO, Breukelen, Math. Centre Tracts, Vol. 57, C.W.I., 1974, pp. 1–26.
Petrowski, I.G. [LG. Petrovskiĭ]: Vorlesungen über die Theorie der gewöhnlichen Differentialgleichungen, Teubner, 1954 (translated from the Russian).
Tikhonov, A.N.: ‘On the dependence of solutions of differential equations on a small parameter’, Mat. Sb. 22, no. 2 (1948), 193–204 (in Russian).
Vasil’eva, A.B. and Butuzov, V.F.: Asymptotic expansions of solutions of singularly perturbed equations, Moscow, 1973 (in Russian).
Tikhonov, A.N., Vasil’eva, A.B. and Sveshnikov, A.G.: Differential equations, Springer, 1985 (translated from the Russian)
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Smith, D.R.: Singular perturbation theory, Cambridge Univ. Press, 1985.
Pontryagin, L.S.: Smooth manifolds and their applications in homotopy theory, Moscow, 1976 (in Russian).
Bourbaki, N.: Elements of mathematics. Differentiable and analytic manifolds, Addison-Wesley, 1966 (translated from the French).
Rham, G. de: Differentiable manifolds, Springer, 1984 (translated from the French).
Lang, S.: Introduction to differentiable manifolds, Interscience, 1967.
Rokhlin, V.A. and Fuks, D.B.: Beginner’s course in topology: Geometric chapters, Springer, 1984 (translated from the Russian).
Whitney, H.: Geometric integration theory, Princeton Univ. Press, 1957.
Postnikov, M.M.: Introduction to Morse theory, Moscow, 1971 (in Russian).
Narasimhan, R.: Analysis on real and complex manifolds, Springer, 1971.
Wells, jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Golubitskiĭ, M. and Guillemin, V.: Stable mapings and their singularities, Springer, 1973.
Bröcker, P. and Lander, L.: Differentiable germs and catastrophes, Cambridge Univ. Press, 1975.
Nitecki, Z.: Differentiable dynamics. An introduction to the orbit structure of diffeomorphisms, M.I.T., 1971.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Godbillon, C.: Géometrie différentielle et mécanique analytique, Hermann, 1969.
Sulanke, R. and Wintgen, P.: Differentialgeometrie und Faserbündel, Birkhäuser, 1972.
Milnor, J.: Morse theory, Princeton Univ. Press, 1963.
Milnor, J.: Topology from the differentiable viewpoint, Univ. Press of Virginia, 1965.
Milnor, J. and Stasheff, J.D.: Characteristic classes, Princeton Univ. Press, 1974.
Munkres, M.R.: Elementary differential topology, Princeton Univ. Press, 1963.
Hirsch, M.: Differential topology, Springer, 1976.
Wall, C.T.C.: Surgery on compact manifolds, Acad. Press, 1970.
Freed, D.S. and Uhlenbeck, K.K.: Instantons and fourmanifolds, Springer, 1984.
Grothendieck, A.: Espaces vectoriels topologiques, Univ. Sao Paulo, 1954.
Gel’fand, I.M.: ‘On one-parameter groups of operators in a normed space’, Dokl. Akad. Nauk. SSSR 25 (1939), 713–718 (in Russian).
Gårding, L.: ‘Note on continuous representations of Lie groups’, Proc. Nat. Acad. Sci. USA 33 (1947), 331–332.
Moore, R.T.: Measurable, continuous and smooth vectors for semigroups and group representations, Amer. Math. Soc., 1968.
Zhelobenko, D.P.: ‘On infinitely differentiable vectors in representation theory’, Vestnik Moskov. Univ. Ser. Mat. 1 (1965), 3-10 (in Russian). English summary.
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Warner, G.: Harmonic analysis on semi-simple Lie groups, I, Springer, 1972.
Tolstov, G.P.: Elements of mathematical analysis, 1-2, Moscow, 1974 (in Russian).
Fichtenholz, G.M.: Differential und Integralrechnung, 1, Deutsch. Verlag Wissenschaft., 1964.
Kudryavtsev, L.D.: Mathematical analysis, 1, Moscow, 1973 (in Russian).
Nikol’skiĭ, S.M.: A course of mathematical analysis, 1, Mir, 1977 (translated from the Russian).
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1953.
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, Graylock, 1957-1961 (translated from the Russian).
Tolstov, G.P.: ‘On curvilinear and iterated integrals’, Trudy Mat. Inst. Steklov. 35 (1950) (in Russian).
Tolstov, G.P.: ‘On the total differential’, Uspekhi Mat. Nauk 3, no.5 (1948), 167–170.
Apostol, T.M.: Calculus, 1-2, Blaisdell, 1964.
Apostol, T.M.: Mathematical analysis, Addison-Wesley, 1974.
Fleming, W.: Functions of several variables, Springer, 1977.
Stromberg, K.: Introduction to classical real analysis, Wads-worth, 1981.
Courant, R.: Vorlesungen über Differential-und Integralrechnung, 1-2, Springer, 1971–1972.
Natanson, L.P.: Theorie der Funktionen einer reellen Veränderlichen, H. Deutsch, Frankfurt a.M., 1961 (translated from the Russian).
Shilov, G.E. and Gurevich, B.L.: Integral, measure and derivative: a unified approach, Dover, reprint, 1977 (translated from the Russian).
Denjoy, A.: Introduction à la théorie des fonctions des variables réelles, Gauthier-Villars, 1937.
MacLane, S.: Homology, Springer, 1963.
Kaplanski, I.: An introduction to differential algebra, Hermann, 1957.
Ritt, J.F.: Differential algebra, Amer. Math. Soc., 1950.
Kolchin, E.R.: Differential algebra and algebraic groups, Acad. Press, 1973.
Kolchin, E.R.:’ some problems in differential algebra’, in Proc. Internal Congress Mathematicians Moscow, Mir, 1968, pp. 269-276.
A history of mathematics from earliest times to the early nineteenth century, 1-3, Moscow, 1970–1972 (in Russian).
Rybnikov, K.A.: A history of mathematics, 1-2, Moscow, 1960–1963 (in Russian).
Wieleitner, H.: Geschichte der Mathematik, de Gruyter, 1923.
Struik, D.J.: A concise history of mathematics, Dover, reprint, 1948.
Bourbaki, N.: Eléments d’histoire de mathématique, Hermann, 1960.
Cantor, M.: Vorlesungen über die Geschichte der Mathematik, 1-4, Teubner, 1900–1908.
Newton, I.: The mathematical papers of I. Newton, 1-8, Cambridge Univ. Press, 1967–1981.
Leibniz, G.: Mathematische Schriften, 1-7, G. Olms, 1971.
l’Hôpital, C.F. de: L’analyse des infinitesimal, Paris.
Euler, L.: Einleitung in die Analysis des Unendlichen, Springer, 1983 (translated from the Latin).
Euler, L.: ‘Institutiones calculi differentialis’, in Opera omnia: series prima: opera mathematica, Vol. 10, Teubner, 1980.
Cauchy, A.L.: Oeuvres II Série, 4-5, Gauthier-Villars, 1894–1903.
Cauchy, A.L.: Algebraische Analyse, Springer, 1885 (translated from the French).
Goursat, E.: Cours d’analyse mathématique, 1, Gauthier-Villars, 1910.
Vallée-Poussin, Ch. de la: Cours d’analyse infinitésimale, 1, Libraire Univ. Louvain, 1923.
Courant, R.: Differential and integral calculus, 1, Blackie, 1948 (translated from the German).
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1976.
Il’in, V.A. and Poznyak, E.G.: Fundamentals of mathematical analysis, 1-2, Mir, 1982 (translated from the Russian).
Kudryavtsev, L.D.: Mathematical analysis, Moscow, 1973 (in Russian).
Nikol’skiĭ, S.M.: A course of mathematical analysis, 1-2, Mir, 1977 (translated from the Russian).
Tolstov, G.P.: Elements of mathematical analysis, 1-2, Moscow, 1974 (in Russian).
Smirnov, V.I.: A course of higher mathematics, Addison-Wesley, 1964 (translated from the Russian).
Fichtenholz, G.M.: Differential und Integralrechnung, 1, Deutsch. Verlag Wissenschaft., 1964.
Khinchin, A. Ya.: Eight lectures on mathematical analysis, Moscow-Leningrad, 1948 (in Russian).
Apostol, T.M.: Calculus, 1-2, Blaisdell, 1964.
Apostol, T.M.: Mathematical analysis, Addison-Wesley, 1974.
Boyer, C.F.: A history of mathematics, Wiley, 1968.
Craven, B.D.: Functions of several variables, Chapman and Hall, 1981.
Spivak, M.: Calculus on manifolds, Benjamin/Cummings, 1965.
Dieudonne, J.: Foundations of modem analysis, Acad. Press, 1960.
Malgrange, B.: ‘Analytic spaces’, Enseign. Math. Ser. 2 14, no. 1 (1968), 1–28.
Kaup, W.: ‘Infinitesimal Transformationsgruppen komplexer Räume’, Math. Ann. 160, no. I (1965), 72–92.
Schwartz, L.: Variedades analiticas complejas elipticas, Univ. Nac. Colombia, 1956.
Schwartz, L.: Ecuaciones differenciales parciales, Univ. Nac. Colombia, 1956.
Wells, jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Bloom, Th.: ‘Differential operators on curves’, Rice Univ. Stud 59, no. 2 (1973), 13–19.
Berger, R., Kiehl, R., Kunz, E. and Nastold, H.-J.: Differentialrechnung in der analytischen Geometrie, Springer, 1967.
Fischer, G.: Complex analytic geometry, Springer, 1976.
Gel’fand, I.M., Kolmogorov, A.N. and Yaglom, A.M.: ‘The amount of information in, and entropy of, continuous distributions’, in Proc. Third All-Union Mathematical Congress, Vol. 3, Moscow, 1958, pp. 300-320 (in Russian).
Rényi, A.: Wahrscheinlichkeitsrechnung, Deutsch. Verlag Wissenschaft, 1962.
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc., 1957.
Lions, J.L.: Equations différentielles operationelles et problèmes aux limites, Springer, 1961.
Lax, P. and Phillips, R.: Scattering theory, Acad. Press, 1967.
Samarskiĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Kreĭn, S.G.: Linear differential equations in Banach space, Amer. Math. Soc., 1971 (translated from the Russian).
Tanabe, H.: Equations of evolution, Pitman, 1979 (translated from the Japanese).
Pazy, A.: Semigroups of linear operators and applications to partial differential equations, Springer, 1983.
Agmon, S.: Unicité convexité dans problèmes différentiels, Univ. Montréal, 1966.
Kamke, E.: Differentialgleichungen. Lösungsmethoden und Lösungen, 1. Gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Lefschetz, S.: Differential equations: geometric theory, Interscience, 1957.
Petrowski, I.G. [I.G. Petrovskii]: Vorlesungen über die Theorie der gewöhnlichen Differentialgleichungen, Teubner, 1954 (translated from the Russian).
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Sansone, G.: Ordinary differential equations, 1-2, Zanichelli, 1948-1949 (in Italian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Arnol’d, V.I.: Geometrical methods in the theory of ordinary differential equations, Springer, 1983 (translated from the Russian).
Arnol’d, V.I.: Ordinary differential equations, MIT, 1973 (translated from the Russian).
Hale, J.K.: Ordinary differential equations, Wiley, 1969.
Hirsch, M.W. and Smale, S.: Differential equations, dynamical systems and linear algebra, Acad. Press, 1974.
Filippov, A.F.: Differential equations with discontinuous right-hand sides, Kluwer, 1988 (translated from the Russian).
Bers, L., John, F. and Schechter, M.: Partial differential equations, Interscience, 1964.
Bitsadze, A.V.: The equations of mathematical physics, Mir, 1980 (translated from the Russian).
Vladimirov, V.S.: Equations of mathematical physics, Mir, 1984 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Tikhonov, A.N. and Samarskiĭ, A.A.: Equations of mathematical physics, Pergamon, 1963 (translated from the Russian).
Garabedian, P.R.: Partial differential equations, Wiley, 1967.
Bitsadse, A.V.: Equations of mixed type, Pergamon, 1964.
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
John, F.: Partial differential equations, Springer, 1971.
Mikhaĭlov, V.P.: Partial differential equations, Mir, 1978 (translated from the Russian).
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964.
Petrowski, L.G. [I.G. Petrovskiĭ]: Vorlesungen über die Theorie der gewöhnlichen Differentialgleichungen, Teubner, 1954 (translated from the Russian).
Hörmander, L.: The analysis of linear partial differential operators, 1-4, Springer, 1983-1985.
Gilbarg, O. and Trudinger, N.S.: Elliptic partial differential equations of second order, Springer, 1977.
Vekua, I.N.: New methods for solving elliptic equations, North-Holland, 1967 (translated from the Russian).
Vekua, I.N.: Generalized analytic functions, Pergamon, 1962 (translated from the Russian).
Vekua, I.N.: ‘Systems of first-order differential equations of elliptic type and boundary value problems, with an application to shell theory’, Mat. Sb. 31, no. 2 (1952), 217–314 (in Russian).
Bergman, S.: Integral operators in the theory of linear partial differential equations, Springer, 1961.
Bers, L.: Theory of pseudo-analytic functions, New York Univ. Inst. Math. and Mech., 1953.
Boyarskiĭ, B.V.: ‘A general representation of solutions of an elliptic system of 2n equations in the plane’, Dokl. Akad. Nauk. SSSR 122, no. 4 (1958), 543–546 (in Russian).
Boyarskiĭ, B.V.: ‘Some boundary value problems for systems of 2n elliptic equations in the plane’, Dokl. Akad. Nauk. SSSR 124, no. 1 (1959), 15–18 (in Russian).
Carleman, T.: ‘Sur les systèmes linéaires aux dérivées partielles du premier ordre à deux variables’, C.R. Acad Sci. 197 (1933), 471–474.
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Khalilov, Z.I.: ‘On boundary value problems for an elliptic equation’, Izv. Akad. Nauk. SSSR Ser. Mat. 11 (1947), 345–362 (in Russian). French summary.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Tutschke, W.: Partielle komplexe Differentialgleichungen in einer und mehreren komplexen Variablen, Deutsch. Verlag Wissenschaft., 1977.
Carrier, G.F. and Pearson, C.E.: Partial differential equations, Acad. Press, 1976.
Bers, L.: ‘An outline of the theory of pseudoanalytic functions’, Bull. Amer. Math. Soc. 62 (1956), 291–331.
Brrsadze, A.V.: Equations of mixed type, Pergamon, 1964 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Tikhonov, A.N.: Mat Sb. 42 (1935), 199–216.
Hörmander, L.: Linear partial differential operators, Springer, 1976.
Hörmander, L.: ‘Hypoelliptic second order differential equations’, Acta. Math. 119(1967), 147–171.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Hörmander, L.V.: The analysis of linear partial differential operators, 2, Springer, 1983, Par. 12.8.
Ladyzhenskaya, O.A.: ‘On the solution of the general problem of diffraction’, Dokl. Akad. Nauk SSSR 96, no. 3 (1954), 433–436 (in Russian).
Oleintk, O.A.: ‘Boundary value problem for linear equations of elliptic-parabolic type with discontinuous coefficients’, Izv. Akad. Nauk SSSR Ser. Mat. 25, no. 1 (1961), 3–20 (in Russian).
Il’in, V.A. and Shishmarev, I.A.: ‘The method of potentials for the problems of Dirichlet and Neumann in the case of equations with discontinuous coefficients’, Sibirsk. Mat. Zh. 2, no. 1 (1961), 46–58 (in Russian).
Il’in, V.A.: ‘On the solvability of the Dirichlet and Neumann problems for a linear elliptic operator with discontinuous coefficients’, Soviet Math. Dokl. 2, no. 2 (1961), 228–230. (Dokl. Akad. Nauk SSSR 137, no. 1 (1961), 28-30)
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
Shishmarev, I.A.: ‘Uniform estimates of the derivatives of solutions to the Dirichlet problem and to the problem of eigenvalues for the operator Lu=div(p(x)grad u) + q(x)u with discontinuous coefficients’, Soviet Math. Dokl. 2, no. 2 (1961), 244–246. (Dokl. Akad. Nauk SSSR 137, no. 1 (1961), 45-47)
Tun, Van: ‘Asymptotic formulae for the solutions of boundary value problems for a general elliptic equation of the second order with discontinuous coefficients’, USSR Comp. Math. Phys. 4, no. 3 (1964), 257–262. (Zh. Vychisl. Mat. i Mat. Fiz. 4, no. 3 (1964), 577-580)
Il’in, V.A.: ‘A system of classical eigenfunctions for a linear self-adjoint elliptic operator with discontinuous coefficients’, Soviet Math. Dokl. 2, no. 2 (1961), 264–267. (Dokl. Akad. Nauk SSSR 137, no. 2 (1961), 272-275)
Girsanov, I.V.: ‘The solution of certain boundary problems for parabolic and elliptic equations with discontinuous coefficients’, Soviet Math. Dokl. 1, no. 6 (1960), 1373–1375. (Dokl. Akad. Nauk SSSR 135, no. 6 (1960), 1311-1313)
Freĭdlin, M. I.: ‘The Dirichlet problem for an equation involving a small parameter and with discontinuous coefficients’, Soviet Math. Dokl. 3, no. 3 (1962), 767–770. (Dokl. Akad. Nauk SSSR 144, no. 3 (1962), 501-504)
Samarskiĭ, A.A.: Proc. Fourth All-Union math. congress Leningrad, 1961, 2, Leningrad, 1964 (in Russian).
Samarskiĭ, A.A.: ‘A priori estimate for the solution of the difference analogue of a parabolic differential equation’, USSR Comp. Math. Math. Phys. 1, no. 3 (1962), 487–512. (Zh. Vychisl. Mat. i Mat. Fiz. 1, no. 3 (1961), 441-460)
Borsuk, M.V.: ‘A priori estimates and solvability of quasilinear elliptic second-order equations in a domain with non—linear boundary and adjointness conditions’, Soviet Math. Dokl. 8 (1967), 1519–1523. (Dokl. Akad. Nauk SSSR 177, no. 5 (1967), 991-994)
Kamynin, L.I.: ‘On the theory of parabolic equations with discontinuous coefficients’, in Proc. joint Soviet-American symp. on partial differential equations, Novosibirsk, 1963, pp. 115-117 (in Russian).
Kamynin, L.I. and Maslennikova, V.N.: ‘The maximum principle for parabolic equations with continuous coefficients’, Sibirsk. Mat. Zh. 2, no. 3 (1961), 384–399 (in Russian).
Il’in, V.A.: ‘The Fourier method for a hyperbolic equation with discontinuous coefficients’, Soviet Math. Dokl. 3, no. 1 (1962), 12–15. (Dokl. Akad. Nauk SSSR 142, no. 1 (1962), 21-24)
Egorov, Yu.V.: ‘Hyperbolic equations with discontinuous coefficients’, Soviet Math. Dokl. 1, no. 5 (1960), 1095–1098. (Dokl. Akad. Nauk SSSR 134, no. 3 (1960), 514-517)
Schechter, M.: ‘A generalization of the problem of transmission’, Ann. Scuola Norm. Sup. Pisa Sci. Fiz. Mat. 14 (1960), 207–236.
Roĭtberg, Ya.A. and Sheftel’, Z.G.: ‘General boundaryvalue problems for elliptic equations with discontinuous coefficients’, Soviet Math. Dokl. 4, no. 1 (1963), 231–234. (Dokl. Akad. Nauk SSSR 148, no. 5 (1963), 1034-1037)
Roitberg, Ya.A. and Sheftel’, Z.G.: ‘Green’s formula and a theorem on homeomorphisms for elliptic systems’, Uspekhi Mat. Nauk 22, no. 2 (1967), 181–182 (in Russian).
Crank, J. and Gupta, R.S.: ‘A moving boundary problem arising from the diffusion of oxygen in absorbing tissue’, J. Inst. Math. Appl. 10 (1972), 19–33.
Eskin, G.I.: ‘The conjugacy problem for equations of principal type with two independent variables’, Trans. Moscow Math. Soc. 21 (1970), 263–316. (Tr. Moskov. Mat Obshch. 21 (1970), 245-292)
Ladyzhenskaya, O.A., Solonnikov, V.A. and Ural’tseva, N.N.: Linear and quasilinear equations of parabolic type, Amer. Math. Soc., 1968 (translated from the Russian).
Tichonoff, A.N. [A.N. Tikhonov]_and Samarskiĭ, A.A.: Differentialgeleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Vladimirov, V.S.: Equations of mathematical physics, Mir, 1984 (translated from the Russian).
Bitsadze, A.V.: The equations of mathematical physics, Moscow, 1976 (in Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Bers, L., John, F. and Schechter, M.: Partial differential equations, Interscience, 1964.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
Ladyzhenskaya, O.A., Solonnikov, V.A. and Ural’tseva, N.N.: Linear and quasilinear parabolic equations, Amer. Math. Soc., 1968 (translated from the Russian).
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964.
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Agmon, S., Douglis, A. and Nirenberg, L.: ‘Estimates near the boundary for solutions of elliptic equations’, Comm. Pure Appl. Math. 12 (1959), 623–727.
Hormander, L.: The analysis of linear partial differential operators, 3, Springer, 1985.
Picone, M.: ‘Nuovi metodi resolutivi per i problemi d’integrazzione delle equazioni lineari a derivative parziali e nuova applicazione della trasformata multipla di Laplace nel caso delle equazioni a coefficienti constanti’, Atti Accad. Sci. Torino. Cl. Sci. Fis. Mat. Natur. 75 (1940), 413–426.
Amerio, L.: ‘Sul calcolo delle soluzioni dei problemi al contorno per le equazioni lineari de secondo ordine di tipo ellittico’, Amer. J. Math. 69, no. 3 (1947), 447–489.
Fichera, G.: ‘Sull’ esistenza e sul calcolo delle soluzioni dei problemi al contomo, relativi all’equilibrio di un corpo elastico’, Ann. Scuola Norm. Super. Pisa. Sci. Fis. Mat. 4, no. 1-2 (1950), 35–99.
Kupradze, V.D.: ‘On the approximate solution of problems in mathematical physics’, Russian Math. Surveys 22, no. 2 (1967), 58–108. (Uspekhi Mat. Nauk 22, no. 2 (1967), 59-107)
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Monakhov, V.N.: Boundary-value problems with free boundaries for elliptic systems of equations, Amer. Math. Soc., 1983 (translated from the Russian).
Fasano, A. and Primicerio, M. (eds.): Free boundary problems: theory and application, 1-2, Pitman, 1983.
Danilyuk, I.I.: ‘On the Stefan problem’, Russian Math. Surveys 40, no. 5 (1985), 157–223. (Uspekhi Mat. Nauk 40, no. 5 (245) (1985), 133-185)
Tarzia, D.A.: A bibliography on moving-free boundary problems for the heat diffusion equation, Firenze, 1988.
Crank, J.: Free and moving boundary problems, Clarendon Press, 1984.
Elliot, C.M. and Ockendon, J.R.: Weak and variational methods for moving boundary problems, Pitman, 1982.
Meirmanov, A.M.: Stefan problem, Novosibirsk, 1986 (in Russian).
Rubinstein, L.I.: The Stefan problem, Amer. Math. Soc., 1971 (translated from the Russian).
Diaz, J.I.: Nonlinear partial differential equations and free boundaries, 1. Elliptic equations, Pitman, 1985.
Friedman, A.: Variational principles and free-boundary problems, Wiley, 1982.
Rodrigues, J.F.: Obstacle problems in mathematical physics, North-Holland, 1987.
Fasano, A. and Primicerio, M. (eds.): Nonlinear diffusion problems, Springer, 1986.
Bossavit, A., Damlamian, A. and Fremond, M. (eds.): Free boundary problems: Applications and theory, 3-4, Pitman, 1985.
Albrecht, J., Collatz, L. and Hofmann, K.H. (eds.): Numerical treatment of free boundary value problems, Birkhäuser, 1982.
Sobolev, S.L.: Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Bers, L., John, F. and Schechter, M.: Partial differential equations, Interscience, 1964.
Lions, J.L. and Magenes, E.: Non-homogenous boundary value problems and applications, 1-2, Springer, 1972 (translated from the French).
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc., 1957.
Nagumo, M.: Lectures on the modern theory of partial differential equations, Kyôritsu Shuppan, 1957 (in Japanese).
Gårding, L.: ‘Cauchy’s problem for hyperbolic equations’, in 3-th congress of Scandinavian mathematicians, Helsinki, Mercatore Trycken’, 1958, pp. 104-109.
Gel’fand, I.M. and Shilov, G.E.: Some problems in the theory of differential equations, Moscow, 1958 (in Russian).
Hörmander, L.: Linear partial differential operators, Springer, 1969.
Hörmander, L.: ‘On the theory of general partial differential operators’, Acta Math. 94 (1955), 161–248.
Trèves, J.: Linear partial differential equations with constant coefficients, Gordon & Breach, 1966.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Yosida, K.: Functional analysis, Springer, 1980.
Riesz, F. and Nagy, B.Sz.: Leçons d’analyse fonctionnelle, Gauthier-Villars, 1968.
Hömander, L.: The analysis of linear partial differential operators, I-IV, Springer, 1983–1985.
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Vekua, I.N.: Generalized analytic functions, Pergamon, 1962 (translated from the Russian).
Muskhelishvili, N.I.: Singular integral equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Bouligand, G., Giraud, G. and Delens, P.: Le problème de la dérivée oblique en théorie du potentiel, Hermann, 1935.
Gilbarg, D. and Trudinger, N.S.: Elliptic partial differential equations of second order, Springer, 1977.
Goursat, E.: Leçons sur l’intégration des équations aux dérivées partielles du premier ordre, Hermann, 1891.
Carathéodory, G.: Variationsrechnung und partielle Differentialgleichungen erster Ordnung, Teubner, 1956.
Gyunter, N.M.: Integration of first-order partial differential equations, Leningrad-Moscow, 1934 (in Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Petrowski, L.G. [I.G. Petrovskiĭ]: Vorlesungen über die Theorie der gewöhnlichen Differentialgleichungen, Teubner, 1954 (translated from the Russian).
Petrowski, L.G. [I.G. Petrovskiĭ]: Vorlesungen über partielle Differentialgeleichungen, Teubner, 1965 (translated from the Russian).
Cartan, E.: Les systèmes différentiels extérieurs et leurs applications géométrique, Hermann, 1945.
Rashevskiĭ, P.K.: The geometric theory of partial differential equations, Moscow-Leningrad, 1947 (in Russian).
Finikov, S.P.: Carton’s method of exterior forms in differential geometry, 1-3, Moscow-Leningrad, 1948 (in Russian).
Yanenko, N.N. and Rozhdestvenskiĭ, B.L.: Systems of quasilinear equations and their applications to gas dynamics, Amer. Math. Soc., 1983 (translated from the Russian).
John, F.: Partial differential equations, Springer, 1982.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Courant, R.: The Dirichlet principle, conformai mapping and minimal surfaces, Interscience, 1950.
Sobolev, S.L.: Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Smirnov, V.I.: A course of higher mathematics, 3-5, Addison-Wesley, 1964 (translated from the Russian).
Michlin, S.G. [S.G. Mikhlin]: Variationsmethoden der mathematischen Physik, Akademie-Verlag, 1962 (translated from the Russian).
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
Mikhaĭlov, V.P.: Partial differential equations, Moscow, 1976 (in Russian).
Bitsadze, A.V.: Equations of the mixed type, Pergamon, 1964 (translated from the Russian).
Vekua, I.N.: Generalized analytic functions, Pergamon, 1962 (translated from the Russian).
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Oleĭnik, O.A.: ‘Solution of fundamental boundary value problem for second-order equations with discontinuous coefficients’, Dokl. Akad. Nauk. SSSR 124, no. 6 (1959), 1219–1222 (in Russian).
Samarskii, A.A.: ‘Parabolic equations with discontinuous coefficients’, Dokl. Akad. Nauk. SSSR 121, no. 2 (1958), 225–228 (in Russian).
Kamke, E.: Differentialgleichungen. Lösungsmethoden und Lösungen, 1. Gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Erugin, N.P.: A general course in differential equations, Minsk, 1972 (in Russian).
Tikhonov, A.N.: Mat. Sb. 41, no. 4 (1934), 551–560.
Valeev, K.G. and Zhautykov, O.A.: Infinite systems of differential equations, Alma-Ata, 1974 (in Russian).
Daletskiĭ, Yu. L. and Kreĭn, M.G.: Stability of solutions of differential equations in Banach space, Amer. Math. Soc., 1974 (translated from the Russian).
Pazy, A.: Differential equations in Banach spaces, Springer, To appear.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. Math. Pures Appl. 1 (1885), 167–244. Also: Oeuvres, Vol.1.
Denjoy, A.: ‘Sur les courbes définies par les équations différentielles à la surface du tore’, J. Math. Pures Appl. (9) 11, no. 4 (1932), 333–375.
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Kneser, H.: ‘Reguläre Kurvenscharen auf Ringflächen’, Math. Ann. 91, no. 1-2 (1924), 135–154.
Reinhart, B.L.: ‘Line elements on the torus’, Amer. J. Math. 81, no. 3 (1959), 617–631.
Aepply, A. and Markus, L.: ‘Integral equivalence of vector fields on manifolds and bifurcation of differential systems’, Amer. J. Math. 85, no. 4 (1963), 633–654.
Arnol’d, V.I.: ‘Small denominators I. On maps of the circumference onto itself, Transi. Amer. Math. Soc. 46 (1965), 213–284. (Izv. Akad. Nauk SSSR Ser. Mat. 25, no. 1 (1961), 21-86)
Arnol’d, V.I.: ‘On a theorem by Liouville concerning integrable problems’, Sibirsk. Mat. Zh. 4, no. 2 (1963), 471-474 (in Russian).
Herman, M.R.: ‘Conjugaison C ∞ des diffeomorphismes du cercle pour presque tout nombre de rotation’, C.R. Acad. Sci. 283, no. 8 (1976), 579–582.
Kolmogorov, A.N.: ‘On dynamical systems with an integral invariant on the torus’, Dokl. Akad. Nauk SSSR 93, no. 5 (1953), 763–766 (in Russian).
Sternberg, S.: ‘On differential equations on the torus’, Amer. J. Math. 79, no. 2 (1957), 397–402.
Shklover, M.D.: ‘Classical dynamical systems on the torus with continuous spectrum’, Izv. Vyssh. Uchebn. Zaved Mat. 10 (1967), 113–124 (in Russian).
Kochergin, A.V.: ‘On the absence of mixing in special flows over the rotation of a circle and in flows on a two-dimensional torus’, Soviet Math. Dokl. 13 (1972), 949–952. (Dokl. Akad Nauk SSSR 205, no. 3 (1972), 515-518)
Schwartzman, S.: ‘Asymptotic cycles’, Ann. of Math. 66, no. 2 (1957), 270–284.
Anosov, D.V.: ‘On an additive functional homology equation connected with an ergodic rotation of the circle’, Math. USSRIzv. 7, no. 6 (1973), 1257–1271. (Izv. Akad. Nauk. SSSR 37, no. 6 (1973), 1259-1273)
Arnold, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Cornfeld, I.P.[I.P. Kornfel’d], Fomin, S.V. and Sinaĭ, Ya.G.: Ergodic theory, Springer, 1982 (translated from the Russian).
Godbillon, C.: Dynamical systems on surfaces, Springer, 1983 (translated from the French).
Herman, M.R.: ‘Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations’, Publ. Math. IHES 49 (1979), 5–234.
Schwartz, A.J.: ‘A generalization of a Poincaré—Bendixson theorem to closed two dimensional manifolds’, Amer. J. Math. 85(1963), 453–458.
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Berezin, I.S. and Zhidkov, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian).
Mikhlin, S.G. and Smolitskiĭ, Kh.L.: Approximate method for solution of differential and integral equations, American Elsevier, 1967 (translated from the Russian).
Moiseev, N.N.: Computational methods in the theory of optimal systems, Moscow, 1971 (in Russian).
Milne, W.E.: Numerical solution of differential equations, Wiley, 1953.
Collatz, L.: Numerical treatment of differential equations, Springer, 1966 (translated from the German).
Hamming, R.W.: Numerical methods for scientists and engineers, McGraw-Hill, 1962.
Godunov, S.K. and Ryaben’kiĭ, V.S.: The theory of difference schemes, North-Holland, 1964(translated from the Russian).
Collatz, L.: Eigenwertprobleme und ihre numerische Behandlung, Chelsea, reprint, 1948.
Dormand, J.R. and Prince, P.J.: ‘A family of embedded Runge-Kutta formulae’, J. Comp. Appl. Math. 6 (1980), 19–26.
Fehlberg, E.: ‘Classical fifth-, sixth-, seventh-and eight-order Runge-Kutta formulas with stepsize control’, Nasa TR 287 (1968). Abstract in: Computing 4 (1969), 93-106.
Fehlberg, E.: ‘Low order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems’, Nasa TR 315 (1969). Abstract in: Computing 6(1969), 61-71.
Hairer, E., Norsett, S.P. and Wanner, G.: Solving ordinary differential equations, I. Nonstiff problems, Springer, 1987.
Kamke, E.: Diferentialgleichungen. Lösungsmethoden und Lösungen, Chelsea, reprint, 1947.
Lambert, J.D.: Computational methods in ordinary differential equations, Wiley, 1973.
Merson, R.H.: ‘An operational method for the study of integration processes’, in Proc. Symp. Data Processing, Weapons Res. Establ., Salisburg, Australia, 1957, pp. 110-125.
Milne, W.E.: ‘Numerical integration of ordinary differential equations’, Amer. Math. Monthly 33 (1926), 455–460.
Moulton, F.R.: New methods in exterior ballistics, Univ. Chicago Press, 1926.
Ascher, U.M., Matthed, R.M.M. and Russell, R.D.: Numerical solution for boundary value problems for ordinary differential equations, Prentice-Hall, 1988.
Hall, G. and Watt, J.M.: Modern numerical methods for ordinary differential equations, Clarendon Press, 1976.
Hale, J.: Functional differential equations, Springer, 1971.
Nusshaum, R.D.: Differential-delay equations with two time lags, Amer. Math. Soc., 1978.
El’sgol’ts, L.E. and Norkin, S.B.: Introduction to the theory and application of differential equations with deviating arguments, Acad. Press, 1973 (translated from the Russian).
Pinney, E.: Ordinary difference-differential equations, Univ. Calif. Press, 1958.
Bellman, R. and Cooke, C.L.: Differential-difference equations, Acad. Press, 1963.
Myskis, A.D.: Linear differential equations with retarted argument, Moscow, 1972 (in Russian).
Krasovskiĭ, N.N.: Stability of motion. Applications of Lyapunov’s second method to differential systems and equations with delay, Stanford Univ. Press, 1963 (translated from the Russian).
Norkin, S.B.: Differential equations of the second-order with retarded argument, Amer. Math. Soc., 1972 (translated from the Russian).
Rubanik, V.P.: Oscillations of quasi-linear systems with retardment, Moscow, 1969 (in Russian).
Oguztoreli, M.N.: Time-lag control systems, Acad. Press, 1966.
Halanay, A.: Differential equations: stability, oscillations, time-lags, Acad. Press, 1966.
Hale, J.K.: Functional differential equations, Springer, 1971.
Chow, S.N. and Hale, J.K.: Methods of bifurcation theory, Springer, 1982.
Peitgen, H.-O. and Walther, H.-O. (eds.): Functional differential equations and approximation of fixed points, Springer, 1979.
Tikhonov, A.N.: ‘Systems of differential equations containing a small parameter in front of the derivatives’, Mat. Sb. 31, no. 3 (1952), 575–586 (in Russian).
Vasil’eva, A.B. and Butuzov, V.F.: Asymptotic expansions of solutions of singularly perturbed equations, Moscow, 1973 (in Russian).
Mishchenko, E.F. and Rozov, N.Kh.: Differential equations with a small parameter and relaxation oscillations, Moscow, 1975 (in Russian).
Butuzov, V.F., Vasil’eva, A.B. and Fedoryuk, M.V.: ‘Asymptotic methods in the theory of ordinary differential equations’, Itogi Nauk. Mat. Anal. 1967 (1969), 5-75 (in Russian).
Vishik, M.I. and Lyusternik, L.A.: ‘Regular degeneration and a boundary layer for linear differential equations with a small parameter’, Uspekhi Mat. Nauk 12, no. 5 (1957), 3–122 (in Russian).
Vishik, M.I. and Lyusternik, L.A.: ‘The solution of some perturbation problems for matrices and selfadjoint or nonselfadjoint differential equations P, Russian Math. Surveys 15, no. 3 (1960), 1–73. (Uspekhi Mat. Nauk 15, no. 3 (1960), 3-80)
Imanaliev, M.I.: Asymptotic methods in the theory of singularly perturbed integro-dijferential systems, Frunze, 1972 (in Russian).
Trenogin, V.A.: ‘The development and applications of the asymptotic method of Lyusternik and Vishi’, Russian Math. Surveys 25, no. 4 (1970), 119–156. (Uspekhi Mat. Nauk 25, no. 4 (1970), 123-156)
Lomov, S.A.: Perturbation theory of singular boundary value problems, Alma-Ata, 1976 (in Russian).
Lomov, S.A.: Introduction to general singular perturbations theory, Moscow, 1981 (in Russian).
Butuzov, V.F. and Vasil’eva, A.B.:’ singularly perturbed differential equations of parabolic type’, in Asymptotic Analysis II, Lecture Notes in Math., Vol. 985, Springer, pp. 38-75.
BAIL IV. Proc. Fourth Internat. Conf. on Boundary and Interior Layers Novosibirsk, Boole Press, 1986.
Eckhaus, W.: Asymptotic analysis of singular perturbations, North-Holland, 1979.
Chang, K.W. and Howes, F.A.: Nonlinear singular perturbation phenomena: theory and application, Springer, 1984.
Grasman, J.: Asymptotic methods for relaxation oscillations and applications, Springer, 1987.
Hoppensteadt, F.: ‘Stability in systems with parameter’, J. Math. Anal. Appl. 18 (1967), 129–134.
Sanders, J.A. and Verhulst, F.: Averaging methods in nonlinear dynamical systems, Springer, 1985.
Eckhaus, W.: Matched asymptotic expansions and singular perturbations, North-Holland & American Elsevier, 1973.
Eckhaus, W. and Jager, E.M. de: ‘Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type’, Arch. Rational Mech. Anal. 23 (1966), 26–86.
O’Malley, R.E., Jr.: Introduction to singular perturbations, Acad. Press, 1974.
Wazov, W.: Asymptotic expansions for ordinary differential equations, Interscience, 1965.
Rham, G. de: Differentiable manifolds, Springer, 1984 (translated from the French).
Poincaré, H.: Les méthodes nouvelles de la mécanique céleste, 3, Gauthier-Villars, 1899.
Cartan, E.:’ sur certaines expressions différentielles et le problème de Pfaff, in Oeuvres complètes, Vol. 1, Pt. 2, Gauthier-Villars, pp. 303-396.
Frölicher, A. and Nijenhuis, A.: ‘Theory of vector-valued differential forms. I. Derivations in the graded ring of differential forms’, Proc. Koninkl. Ned. Akad. Wet. Ser. A 59, no. 3 (1956), 338–359.
Whitney, H.: Geometric integration theory, Princeton Univ. Press, 1957.
Wells, jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Cartan, H.: Calcul différentiel, Hermann, 1967.
Cartan, H.: Formes différentielles, Hennann, 1967.
Deligne, P., Griffiths, P., Morgan, J. and Sullivan, D.: ‘The real homotopy of Kaehler manifolds’, Invent. Math. 29 (1975), 245–274.
Bare, R. and Tu, L.W.: Differential forms in algebraic topology, Springer, 1982.
Sullivan, D.: ‘Infinitesimal computations in topology’, Publ. Math. IHES 47 (1977), 269–331.
Chirka, E.M.: Complex analytic sets, Kluwer, 1989.
Lelong, P. and Gruman, L.: Entire functions of several complex variables, Springer, 1986.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Baldassarri, M.: Algebraic varieties, Springer, 1956.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Kamke, E.: Differentialgleichungen. Lösungsmethoden und Lösungen, I Gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Hale, J.K.: Functional differential equations, 1971, Springer.
Flemming, W.H.: ‘A note on differential games of prescribed duration’, in Contributions to the theory of games, Vol. 3, Princeton Univ. Press, 1957, pp. 407-412.
Varaiya, P. and Jiguan, G. Lin: ‘Existence of saddle points in differential games’, SIAM J. Contr. 7, no. 1 (1969), 141–157.
Petrov, N.N.: ‘On the existence of a pursuit game’, Soviet Math. Dokl. 11 (1970), 292–294. (Dokl. Akad. Nauk SSSR 190, no. 6 (1970), 1289-1291)
Friedman, A.: ‘Existence of value and of saddle points for differential games of survival’, J. Differential Equations 7, no. 1 (1970), 111–125.
Pontryagin, L.S.: ‘Linear differential games. 1’, Soviet Math. Dokl. 8 (1967), 796–771. (Dokl. Akad. Nauk SSSR 174, no. 6 (1967), 1278-1280)
Pontryagin, L.S.: ‘Linear differential games. 2’, Soviet Math. Dokl. 8 (1967), 910–912. (Dokl. Akad. Nauk SSSR 175, no. 4, 764-766)
Pontryagin, L.S.: ‘A linear differential evasion game’, Proc. Steklov Inst. Math. 112 (1973), 27–60. (Trudy Mat. Inst. Steklov. 112 (1971), 30-63)
Pontryagin, L.S. and Mishchenko, E.F.: ‘Deviation from coincidence in linear differential games’, Differential Equations 7 (1971), 335–342. (Differentsial. Uravn. 7, no. 3 (1971), 436-445)
Krasovskiĭ, N.N. and Subbotin, A.I.: Game-theoretical control problems, Springer, 1988 (translated from the Russian).
Krotov, V.F. and Gurman, V.I.: Methods and problems of optimal control, Moscow, 1973 (in Russian).
Isaacs, R.: Differential games, Wiley, 1965.
Krasovskiĭ, N.N.: Game problems on control of movements, Moscow, 1970 (in Russian).
Mishchenko, E.F. and Pontryagin, L.S.: ‘Linear differential games’, Soviet Math. Dokl. 8 (1967), 585–588. (Dokl. Akad Nauk SSSR 174, no. 1 (1967), 27-29)
Pshenichnyĭ, B.N.: ‘On the problem of pursuit’, Kibernetika 6 (1967), 54–64 (in Russian).
Gusyatnkov, P.B. and Nikol’skiĭ, M.S.: Teor. Optimal Resheniĭ-Tr. Sem Protsessy Optimal. Upravleniya VI Sektsiya 3 (1969), 17–25 (in Russian).
Chikaiĭ, A.A.: ‘Optimality of pursuit games’, Soviet Math. Dokl. 10 (1969), 103–106. (Dokl. Akad. Nauk SSSR 184, no. 3 (1969), 518-521)
Nikol’skiĭ, M.S.: The direct method in linear differential games with common integral restrictions’, Differential Equations 8 (1972), 729–734. (Differentsial. Uravn. 8, no. 6, 964-971)
Pshenichnyi, B.N.: ‘The structure of differential games’, Soviet Math. Dokl. 10 (1969), 70–72. (Dokl. Akad. Nauk SSSR 184, no. 2 (1969), 285-287)
Ryll-Nardzewski, C.: ‘The theory of pursuit and evasion’, in M. Dresner, et al. (ed.): Adv. in game theory, Ann. of Math. Studies, Princeton Univ. Press, 1964, pp. 113-126.
Roxin, E.: ‘Axiomatic approach in differential games’, J. Optimiz. Theory Appl. 3, no. 3 (1969), 153–163.
Chentsov, A.G.: ‘On a game problem of converging at a given instant of time’, Math. USSR-Sb. 28 (1971), 353–376. (Mat. Sb. 99, no. 3 (1976), 394-420)
Basar, T. and Olsder, G.J.: Dynamic noncooperative game theory, Acad. Press, 1982.
Veblen, O. and Whitehead, J.: Foundations of differential geometry, Moscow, 1949. The appendix written by V.V. Vagner in the Russian translation.
Laptev, G.F.: ‘Differential geometry of imbedded manifolds. Group-theoretical method of differential geometric investigation’, Trudy Moskov. Mat. Obshch. 2 (1953), 275–382 (in Russian).
Husemoller, D.: Fibre bundles, McGraw-Hill, 1966.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Spivak, M.: A comprehensive introduction to differential geometry, 1-5, Publish or Perish, 1972–1975.
Bianchi, L.: Lezioni di geometria differenziale, 1-2, Zanichelli, Bologna, 1923-1927.
Darboux, G.: Leçons sur la théorie générale des surfaces et ses applications géométriques de calcul infinitesimal, 1, Gauthier-Villars, 1887.
Struik, D.J.: A concise history of mathematics, 1-2, Dover, reprint, 1948.
Rashevskiĭ, P.K.: A course of differential geometry, Moscow, 1956 (in Russian).
Pogorelov, A.V.: Differential geometry, Noordhoff, 1959 (translated from the Russian).
Blaschke, W.: Einführung in die Differentialgeometrie, Springer, 1950.
Blaschke, W.: Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. Elementare Differentialgeometrie, 1, Springer, 1921.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Kagan, V.F.: Foundations of the theory of surfaces in a tensor setting, 1-2, Moscow-Leningrad, 1947–1948 (in Russian).
Shulikovskii, V.I.: Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Schouten, J.A. and Struik, D.J.: Einführung in die neueren Methoden der Differentialgeometrie, 2, Noordhoff, 1935.
Finikov, S.P.: Projective differential geometry, Moscow-Leningrad, 1937 (in Russian).
Finikov, S.P.: Theorie der Kongruenzen, Akademie-Verlag, 1959 (translated from the Russian).
Shirokov, P.A. and Shirokov, A.P.: Differentialgeometrie, Teubner, 1962 (translated from the Russian).
Norden, A.P.: Spaces with an affine connection, Nauka, Moscow-Leningrad, 1976 (in Russian).
Spivak, M.: A comprehensive introduction to differential geometry, 1-5, Publish or Perish, 1979.
Chern, S.S. (ed.): Studies in global geometry and analysis, Prentice Hall, 1967.
Struik, D.J.: Lectures on classical differential geometry, Addison-Wesley, 1961.
Hicks, N.J.: Notes on differential geometry, v. Nostrand, 1965.
Hsiung, C.C.: A first course in differential geometry, Wiley (Interscience), 1981.
O’Neill, B.: Elementary differential geometry, Acad. Press, 1966.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces, Springer, 1988.
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, Wiley (Interscience), 1969.
DoCarmo, M.: Differential geometry of curves and surfaces, Prentice Hall, 1976.
Thorpe, J.A.: Elementary topics in differential geometry, Springer, 1979.
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Riemann, B.: ‘lieber die Hypothesen, welche der Geometrie zuGrunde liegen’, in Das Kontinuum und 3 Monographien, Chelsea, reprint, 1973.
Riemann, B.: Collected works, Dover, reprint, 1953.
Cartan, E.: Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, 1928.
Kagan, V.F.: Outlines of geometry, Moscow, 1963, pp. 437-519 (in Russian).
Rashewski, P.K. [P.K. Rashevskiĭ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Eisenhart, L.P.: Riemannian geometry, Princeton Univ. Press, 1949.
Hawkins, S. and Ellis, J.: The large-scale structure of space-time, Cambridge Univ. Press, 1973.
Helgason, S.: Differential geometry and symmetric spaces, Acad. Press, 1962.
Bishop, R.L. and Crittenden, R.J.: Geometry of manifolds, Acad. Press, 1964.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Schwartz, J.: Differential geometry and topology, Gordon & Breach, 1968.
Lang, S.: Introduction to differentiable manifolds, Interscience, 1967.
Sulanke, R. and Wintgen, P.: Differentialgeometrie und Faserbündel, Deutsch. Verlag Wissenschaft., 1972.
Wells, jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Lichnerowicz, A.: Géométrie des groupes de transformations, Dunod, 1958.
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, 1-2, Wüey, 1963–1969.
Krasil’shchik, I.S., Lychagin, V.V. and Vinogradov, A.M.: Geometry of jet spaces and nonlinear partial differential equations, Gordon & Breach, 1986 (translated from the Russian).
Chern, S.S.: ‘Geometry of characteristic classes’, Uspekhi Mat. Nauk 33, no. 3 (1973), 15–111 (in Russian).
Molchanov, S.A.: ‘Diffusion processes and Riemannian geometry’, Russian Math. Surveys 30, no. 1 (1975), 1–63. (Uspekhi Mat. Nauk 30, no. 1 (1975), 3-59)
Cheeger, J. and Ebin, D.G.: Comparison theorems in Riemannian geometry, North-Holland, 1975.
Greub, W., Halperin, S. and Vanstone, R.: Connections, curvature and cohomology, 1-3, Acad. Press, 1972–1976.
Flaschel, P. and Klingenberg, W.: Riemannsche Hilbert-mannigfaltigkeiten. Periodische Geodäten, Lecture Notes in Math., 282, Springer, 1972.
Griffiths, Ph. A.: Exterior differential systems and the calculus of variations, Birkhäuser, 1983.
Kobayashi, S.: Transformation groups in differential geometry, Springer, 1972.
Besse, A.L.: Einstein manifolds, Springer, 1987.
Besse, A.L.: Géométrie Riemannienne en dimension 4, F. Nathan, 1981.
Klingenberg, W.: Lectures on closed geodesics, Springer, 1968.
Riemann, B.: ‘lieber die Hypothesen, welche der Geometrie zuGrunde liegen’, in Das Kontinuum und 3 Monographien, Chelsea, reprint, 1973.
Rund, H.: The differential geometry of Finsler spaces, Springer, 1959.
Cartan, E.: Les systèmes différentiels extérieurs et leurs applications géométriques, Hermann, 1971.
Griffith, P.A. and Jensen, G.R.: Differential systems and isometric embeddings, Princeton Univ. Press, 1987.
Flanders, H.: Differential forms with applications to the physical sciences, Acad. Press, 1963.
Kähler, E.: Einführung in die Theorie der Systeme von Differentialgleichungen, Chelsea, reprint, 1949.
Cartan, E.: La théorie des groupes finis et continus et la géométrie différentielle traitées par la méthode du repère mobile, Gauthier-Villars, 1937.
Milnor, J.W. and Stasheff, J.D.: Characteristic classes, Princeton Univ. Press, 1974.
Rham, G. de: Differentiable manifolds, Springer, 1984 (translated from the French).
Boothby, W.M.: An introduction to differentiable manifolds and Riemannian geometry, Acad. Press, 1975.
Choquet-Bruhat, Y., DeWitt-Murette, C. and Dillard-Bleick, M.: Analysis, manifolds and physics, North-Holland, 1982.
Dieudonne, J.: Treatise on analysis, 4, Acad. Press, 1974.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966, p. 156.
Filippov, A.F.: Differential equations with discontinuous right-hand sides, Reidei, 1988.
Wazewski, A.: ‘Systèmes de commande et équations au contingent’, Bull Acad. Polon. Sci. Ser. Math. 9, no. 3 (1961), 151–155.
Filoppov, A.F.: ‘On certain questions in the theory of optimal control’, SIAM J. Control Ser. A 1, no. 1 (1962), 76–84. (Vestnik Moskov. Univ. Ser. Mat. Mekh. Astr. 2 (1959), 25-32)
Davy, J.L.: ‘Properties of the solution set of a generalized differential equation’, Bull. Austr. Math. Soc. 6, no. 3 (1972), 379–398.
Olech, C.: ‘Existence of solutions of non-convex orientor fields’, Boll. Un. Mat. Ital. 11, no. 3 (1975), 189–197.
Blagodatskikh, V.I. and Filippov, A.F.: ‘Differential inclusions and optimal control’, Proc. Steklov Inst. Math. 169 (To appear). (Trudy Mat. Inst. Steklov. 169 (To appear))
Aubin, J.-P. and Cellina, A.: Differential inclusions, Univ. Paris IX, 1983.
Roxin, E.: ‘Stability in general control systems’, J. Diff. Equations 1, no. 2 (1965), 115–150.
Petrovitsch, M.: ‘Sur une manière d’étendre le théorème de la moyence aux équations différentielles du premier ordre’, Math. Ann. 54, no. 3 (1901), 417–436.
Chaplygin, S.A.: Fundamentals of a new method of approximate integration of differential equations, Moscow, 1919 (in Russian).
Wazewski, T.: ‘Systèmes des équations et des inégualités différentielles ordinaires aux deuxièmes membres monotones et leurs applications’, Ann. Soc. Polon. Math. 23 (1950), 112–166.
Bohl, P.: ‘Ueber Differentialungleichungen’, J. Reine Angew. Math. 144 (1914), 284–313.
Haar, A.: ‘Ueber Eindeutigkeit und analyzität der Lösungen partieller Differentialgleichungen’, in Atti congresso internai, mathematici Bologna, 1928, Vol. 3, Zanichelli, 1930, pp. 5–10.
Walter, W.: Differential-und Integralgleichungen und ihre Anwendung bei Abschätzungs-und Eindeutigkeitsproblemen, Springer, 1964.
Szarski, I.: Differential inequalities, PWN, 1965.
Lakshmikantham, V. and Leela, S.: Differential and integral inequalities, 1-2, Acad. Press, 1969.
Jordan, D.W. and Smith, P.: Nonlinear ordinary differential equations, Clarendon Press, 1977.
Hille, E.: Ordinary differential equations in the complex plane, Wiley-lnterscience, 1976.
Thomas, T.Y.: The differential invariants of generalized spaces, Cambridge Univ. Press, 1934.
Weitzenböck, R.: Invariantentheorie, Noordhoff, 1923.
Springer, G.: Introduction to Kiemann surfaces, Chelsea, 1981.
Nevanlinna, R.: Uniformisierung, Springer, 1953.
Schiffer, M. and Spencer, D.C.: Functional of finite Kiemann surfaces, Princeton Univ. Press, 1954.
Behnke, H. and Sommer, F.: Theorie der analytischen Funktionen einer komplexen Veränderlichen, Springer, 1955.
Farkas, H.M. and Kra, I.: Riemann surfaces, Springer, 1980.
Ahlfors, L.V. and Sario, L.: Riemann surfaces, Princeton Univ. Press, 1960, Chapt. V.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Naĭmark, M.A.: Lineare Differentialoperatoren, Akad. Verlag, 1960 (translated from the Russian).
Hörmander, L.: The analysis of linear partial differential operators, 1-4, Springer, 1983–1985.
Bourbaki, N.: Elements of mathematics. Differentiable and analytic manifolds, Addison-Wesley, 1966 (translated from the French).
Kantorovich, L.V. and Akilov, G.P.: Functional analysis, Moscow, 1977 (in Russian).
Palais, R.: Seminar on the Atiyah-Singer index theorem, Princeton Univ. Press, 1965.
Reissig, R., Sansone, G. and Conti, R.: Qualitative Theorie nichtlinearer Differentialgleichungen, Cremonese, 1963.
Finkov, S.P.: Cartan’s method of exterior forms in differential geometry, 1-3, Moscow-Leningrad, 1948 (in Russian).
Skrypnk, I.V.: Non-linear elliptic equations of high order, Kiev, 1973 (in Russian).
Gel’fand, I.M., Minlos, R.A. and Shapiro, Z.Ya.: Representations of the rotation and Lorentz groups and their applications, Pergamon, 1963 (translated from the Russian).
Schouten, J.A.: Tensor analysis for physicists, Cambridge Univ. Press, 1951.
Lions, J.-P.: Quelques méthodes de résolution des problèmes aux limites nonlinéaires, Dunod, 1969.
Rozhdestvenskiĭ, B.L. and Yanenko, N.N.: Systems of quasilinear equations and their applications to gas dynamics, Amer. Math. Soc., 1983.
Vinogradov, A.M. and Krasil’shchikov, I.S.: ‘What is the Hamilton formalism?’, Russian Math. Surveys 30, no. 1 (1975), 177–202. (Uspekhi Mat. Nauk. 30, no. 1 (1975), 173-198)
Lamé, G.: Leçons sur les coordonnées curvilignes et leurs diverses applications, Paris, 1958.
Betrami, E.: ‘Ricerche di analisi applicate alla geometria’, G. Mat. Battaglini 2–3 (1864–1865).
Kagan, V.F.: Fundamentals of the theory of surfaces in a tensor setting, 1–2, Moscow-Leningrad, 1947–1948 (in Russian).
Shulikovskiĭ, V.I.: Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Stoker, J.J.: Differential geometry, Wiley (Interscience), 1969.
Grothendieck, A.: ‘Fr Eléments de géométrie algébrique. IV Etude locale des schémas et des morphisms des schémas I’, Publ. Math. IHES 20 (1960).
Demazure, M. and Gabriel, P.: Groupes algébriques, 1, Masson, 1970.
Björk, J.E.: ‘The global homological dimension of some algebras of differential operators’, Invent. Math. 17, no. 1 (1972).
Pontryagin, L.S.: Smooth manifolds and their applications in homotopy theory, Moscow, 1976 (in Russian).
Whitney, H.: ‘Differentiable manifolds’, Ann. of Math. 37 (1936), 645–680.
Thom, R.: Fibre spaces and their applications, Moscow, 1958, pp. 293-351 (in Russian; translated from the English).
Novkov, S.P.: Izv. Akad. Nauk SSR Ser. Mat. 28, no. 2 (1964), 365–474.
Milnor, J.: ‘Differential topology’, in Lectures on modern mathematics, Vol. 2, Wiley, 1964, pp. 165–183.
Smale, S.: ‘A survey of some recent developments in differential topology’, Bull Amer. Math. Soc. 69 (1963), 131–145.
Milnor, J. and Wallace, A.: Differential topology, Moscow, 1972 (in Russian; translated from the English).
Munkres, J.: Elementary differential topology, Princeton Univ. Press, 1963.
Milnor, J.: Lectures on the h-cobordism theorem, Princeton Univ. Press, 1965.
Rokhlin, V.A. and Fuks, D.B.: Beginners course in topology: Geometric chapters, Springer, 1984 (translated from the Russian).
Rourke, K. and Sanderson, B.: Introduction topiecewise-linear topology, Springer, 1972.
Wall, C.: Surgery on compact manifolds, Acad. Press, 1970.
Browder, F.: Surgery on simply connected manifolds, Springer, 1972.
Conner, P.E. and Floyd, E.E.: Differentiable periodic maps, Springer, 1964.
Stong, R.E.: Notes on cobordism theory, Princeton Univ. Press, 1968.
Novkov, S.P.: ‘The topology of foliations’, Trudy Moskov. Mat. Obshch. 14 (1965), 248–278 (in Russian).
Integer flows and minimal surfaces, Moscow, 1973 (in Russian; translated from the English and the Italian).
Mishchenko, A.S.: ‘Hermitian K-theory. The theory of characteristic classes and methods of functional analysis’, Russian Math. Surveys 31, no. 2 (1976), 71–138. (Uspekhi Mat. Nauk. 31, no. 2 (1976), 69-134)
Smooth dynamical systems, Moscow, 1977 (in Russian; translated from the English).
Hirsch, M.: Differential topology, Springer, 1976.
Milnor, J.: Morse theory, Princeton Univ. Press, 1963.
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Choquet-Bruhat, Y., DeWitt-Morette, C. and Dillard-Bleick, M.: Analysis, manifolds and physics, North-Holland, 1977, Sect. III.B.
Berezin, I.S. and Zhidkov, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian).
Ahlberg, J., Nilson, E. and Walsh, J.: The theory of splines and their applications, Acad. Press, 1967.
Morozov, V.A.: ‘The differentiation problem and certain algorithms of approximation by experimental information’, in Computing methods and programming, Vol. 14, Moscow, 1970, pp. 46–62 (in Russian).
Segun, A. and Abramowitz, M.: Handbook of mathematical functions, Appl. Math. Ser., 55, Nat. Bur. Stand., 1970.
Hildebrand, F.B.: Introduction to numerical analysis, McGraw-Hill, 1974.
Fröhlicher, A. and Bucher, W.: Calculus in vector spaces without norm, Springer, 1966.
Averbukh, V.I. and Smolyanov, O.G.: ‘The theory of differentiation in linear topological spaces’, Russian Math. Surveys 22, no. 6 (1967), 201–258. (Uspekhi Mat Nauk 22, no. 6 (1967), 201-260)
Averbukh, V.I. and Smolyanov, O.G.: ‘The various definitions of the derivative in linear topological spaces’, Russian Math. Surveys 23, no. 4 (1968), 67–113. (Uspekhi Mat. Nauk 23, no. 4(1968), 67-116)
Dieudonné, J.A.: Foundations of modern analysis, Acad. Press, 1961.
Lang, S.: Introduction to differentiable manifolds, Interscience, 1967.
Bourbaki, N.: Elements of mathematics. Differentiable and analytic manifolds, Addison-Wesley, 1966 (translated from the French).
Spivak, M.: Calculus on manifolds, Benjamin, 1965.
Babich, V.M. and Buldyrev, V.S.: Asymptotic methods in the diffraction of short waves, Moscow, 1972 (in Russian). Translation forthcoming: Springer.
Vaĭnshteĭn, L.A.: The theory of diffraction and the factorization method, Moscow, 1966 (in Russian).
Nikol’skiĭ, V.V.: The use of variation methods in solving interior problems in electrodynamics, Moscow (in Russian).
Kupradze, V.D.: Randwertaufgaben der Schwingungstheorie und Integralgleichungen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Kupradze, V.D., et al.: Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity, North-Holland, 1979 (translated from the Russian).
Friedlander, F.: Sound pulses, Cambridge Univ. Press, 1958.
Hönl, H., Maue, A.W. and Westpfahl, K.: ‘Theorie der Beugung’, in Handbuch der Physik, Vol. 25.1, Springer, 1961, pp. 218–573.
Sveshnikov, A.G.: ‘Numerical methods in diffraction theory’, in Proc. internat. congress mathematicians Vancouver, 1974, Vol. 2, pp. 437–442 (in Russian).
Babič, V.M. [V.M. Babich] and Kirpičnikova, N.Y. [N.Ya. Kirpichnikova]: The boundary-layer method in diffraction problems, Springer, 1981 (translated from the Russian).
Felsen, L.B. and Marcuvitz, N.: Radiation and scattering of waves, Prentice-Hall, 1973.
Bowman, J.J., Senior, T.B.A. and Uslenghi, P.L.E.: Electromagnetic and acoustic scattering by simple shapes, North-Holland, 1969.
Wilcox, C.H.: Scattering theory for the d’Alembert equation in exterior domains, Springer, 1975.
Glastone, S. and Edlund, M.C.: The elements of nuclear reactor theory, v. Nostrand, 1954.
Marchuk, G.I.: Methods of calculation of nuclear reactors, Moscow, 1961 (in Russian).
Ishimaru, A.: Wave propagation and scattering in random media, 1-2, Acad. Press, 1978.
Davison, B.: Neutron transport theory, Oxford Univ. Press, 1957.
Case, K.M. and Zweifel, P.F.: Linear transport theory, Addison-Wesley, 1967.
Tichonoff, A.N. [A.N. Tikhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Crank, J.: The mathematics of diffusion, Clarendon Press, 1956.
Carslaw, H.S. and Haeger, J.C.: Conduction of heat in solids, Clarendon Press, 1959.
Burgers, J.M.: The nonlinear diffusion equation, Reidel, 1974.
Romanov, Yu.A.: Studies on critical parameters of reactor Systems, Moscow, 1960, pp. 3-26 (in Russian).
Theory and methods of calculating nuclear reactors, Moscow, 1962 (in Russian).
Computational methods in transport theory, Moscow, 1969 (in Russian)
Glasstone, A.S. and Edlund, M.C.: The elements of nuclear reactor theory, v. Nostrand, 1954.
Davison, B.: Neutron transport theory, Oxford Univ. Press, 1957.
Case, K.M. and Zweifel, P.F.: Linear transport theory, Addison-Wesley, 1967.
Gikhman, I.I. and Skorokhod, A.V.: Introduction to the theory of random processes, Saunders, 1969 (translated from the Russian).
Gikhman, L.I. and Skorokhod, A.V.: Stochastic differential equations, Springer, 1972 (translated from the Russian).
Ikeda, N. and Watanabe, S.: Stochastic differential equations and diffusion processes, North-Holland & Kodansha, 1981.
Stroock, D.W. and Varadhan, S.R.S.: Multidimensional diffusion processes, Springer, 1979.
Arnold, L.: Stochastische Differentialgleichungen, Oldenbourg Verlag, 1973 (translated from the Russian).
Coxeter, H.S.M.: Regular polytopes, Dover, 1973.
McMullen, P.: ‘Non-linear angle-sum relations for polyhedral cones and polytopes’, Math. Proc. Cambr. Phil. Soc. 78 (1975), 247–261.
McMullen, P. and Schneider, R.: ‘Valuations on convex bodies’, in P. Gruber and J.M. Wills (eds.): Convexity and its applications, Birkhäuser, 1983, pp. 170-247.
Berger, M.: Geometry, 2, Springer, 1987.
Cheeger, J., Müller, W. and Schrader, R.: ‘On the curvature of piecewise flat spaces’, Comm. Math. Physics 92 (1984), 405–454.
Coolidge, J.L.: A treatise on the circle and the sphere, Clarendon Press, 1916.
Hall, G.G.: Applied group theory, Longmans, 1967.
Aleksandrov, P.S. and Pasynkov, B.A.: Introduction to dimension theory, Moscow, 1973 (in Russian).
Hurevicz, W. and Wallman, G.: Dimension theory, Princeton Univ. Press, 1948.
Urysohn, P.S.: Works on topology and other areas of mathematics, 1-2, Moscow-Leningrad, 1951 (in Russian).
Engelking, R.: Dimension theory, PWN & North-Holland, 1978.
Roy, P.: ‘Nonequality of dimensions for metric spaces’, Trans. Amer. Math. Soc. 134 (1968), 117–132.
Nagata, J.: Modern dimension theory, Heldermann, 1983.
Gel’fand, J.M. and Kirillov, A.A.: ‘Sur les corps liés aux algébres enveloppantes des algébres de Lie’, Publ. Math. IHES 31 (1966), 5–19.
Gordon, R. and Robson, J.C.: Krull dimension, Amer. Math. Soc., 1973.
Krause, G. and Lenagom, T.H.: Growth of algebras and Gelfand-Kirillov dimension, Pitmann, 1985.
Năstăsecu, C. and van Oystaeyen, F.: Dimensions of ring theory, Reidel, 1987.
Rentschler, R. and Gabriel, P.: ‘Sur la dimension des anneaux et ensembles ordonnées’, C.R. Acad. Sci. Paris 265 (1967), 712–715.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1974 (translated from the Russian).
Gnxman, L. and Jerison, M.: Rings of continuous functions, v. Nostrand, 1960.
Bourbaki, N.: Algebre commutative, Masson, 1983, Chapt. VIII. Dimension; Chapt. IX. Anneaux locaux noethériens complets.
Skornyakov, L.A.: Elements of lattice theory, Hindustan Publ. Comp., 1977 (translated from the Russian).
Birkhoff, G.: Lattice theory, Colloq. Publ. 25, Amer. Math. Soc., 1973.
Kalmbach, G.: Orthomodular lattices, Acad. Press, 1983. T. S. Fofanova
Engelking, R.: Dimension theory, PWN & North-Holland, 1978.
Aleksandrov, P.S.:’ some old problems in homological dimension theory’, in Proc. Internat Symp. Topology and its Applications. Herzog-Novi, 1968, Beograd, 1969, pp. 38-42 (in Russian).
Sčepin, E. [E. Shchepin]: ‘Axiomatics of the dimension of metric spaces’, Soviet Math. Dokl. 13 (1972), 1177–1179. (Dokl. Akad. Nauk SSSR 206, no. 1 (1972), 31-32)
Aleksandrov, P.S. and Pasynkov, B.A.: Introduction to dimension theory, Moscow; 1973 (in Russian).
Engelking, R.: Dimension theory, North-Holland & PWN, 1978.
Einstein, A.: The meaning of relativity, Princeton Univ. Press, 1953.
Kolchin, E.R.: Differential algebra and algebraic groups, Acad. Press, 1973.
Mikhalev, A.V. and Pankrat’ev, E.V.: ‘The differential dimension polynomial of a system of differential equations’, in Algebra, Moscow, 1980, pp. 57-67 (in Russian).
Bridgeman, P.V.: Dimensional analysis, Yale Univ. Press, 1937.
Sedov, L.I.: Similarity and dimensional methods in mechanics, Infosearch, 1959 (translated from the Russian).
Birkhoff, G.: Hydrodynamics, Princeton Univ. Press, 1960.
Dini, U.: Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale, Pisa, 1880.
Zygmund, A.: Trigonometric series, 1, Cambridge Univ. Press, 1979.
Dini, U.: Grundlagen für eine Theorie der Funktionen einer veränderlichen reellen Grösse, Teubner, 1892 (translated from the Italian).
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Dini, U.: Sopra la serie di Fourier, Pisa, 1872.
Lipschitz, R.: ‘De explicatione per series trigonometricas instituenda functionum unius variabilis arbitrariarum, etc.’, J. Reine Angew. Math. 63, no. 2 (1864), 296–308.
Lebesgue, H.: ‘Sur la répresentation trigonométrique approchée des fonctions satisfiasants à une condition de Lipschitz’, Bull Soc. Math. France 38 (1910), 184–210.
Nikol’skiĭ, S.M.: ‘On the Dini—Lipschitz condition for convergence of Fourier series’, Doklaay Akad. Nauk SSSR 73, no. 3 (1950), 457–460 (in Russian).
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Lawrence, J.D.: A catalog of special plane curves, Dover, reprint, 1972.
Fladt, K.: Analytische Geometrie spezieller ebener Kurven, Akad. Verlagsgesell., 1962.
Khintchine, A. [A.Ya. Khinchin]: ‘Zur metrischen Theorie der diophantischen Approximationen’, Math. Z. 24 (1926), 706–714.
Khinchin, A.Ya.: Kettenbrüche, Teubner, 1956 (translated from the Russian).
Cassels, J.W.S.: An introduction to diophantine approximation, Cambridge Univ. Press, 1957.
Cassels, J.W.S.: ‘Some metrical theorems in diophantine approximation I’, Proc. Cambridge Philos. Soc. 46, no. 2 (1950), 209–218.
Sprindzhuk, V.G.: Mahler’s problem in metric number theory, Amer. Math. Soc., 1969 (translated from the Russian).
Sprindzhuk, V.G.: ‘New applications of analytic and p-adic methods in Diophantine approximations’, in Actès du congrès internat. mathématiciens Nice, 1970, Gauthier-Villars, 1971, pp. 505-509.
Baker, A.: ‘On a theorem of Sprindžuk’, Proc. Roy. Soc. Ser. A 292, no. 1428 (1966), 92–104.
Schmidt, W.: ‘Metrische Sätze über simultane Approximation abhängiger Grössen’, Monatsh. Math. 68, no. 2 (1964), 154–166.
Sprindzhuk, V.G.: ‘The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities’, Proc. Steklov Inst. Math. 128, no. 2 (1972), 251–270. (Trudy Mat. Inst. Steklov. 128, no. 2 (1972), 212-228)
Sprindzhuk, V.G.: ‘The metric theory of Diophantine approximations’, in Current problems of analytic number theory, Minsk, 1974, pp. 178-198 (in Russian).
Sprindzhuk, V.G.: ‘Rational approximations to algebraic numbers’, Math. USSR Izv. 5, no. 5 (1971), 1003–1020. (Izv. Akad. Nauk. SSSR Ser. Mat. 35, no. 5 (1971), 991-1007)
Sprindzhuk, V.G.: ‘On an estimate for solutions of Thue’s equation’, Math. USSR Izv. 6, no. 4 (1972), 705–734. (Izv. Akad. Nauk. SSSR Ser. Mat. 36, no. 4 (1972), 712-741)
Sprindzhuk, V.G.: ‘Metric theory of Diophantine approximations’, in Current problems of analytic number theory, Minsk, 1974, pp. 178-198 (in Russian).
Fel’dman, N.I.: ‘Estimates of linear forms in logarithms of algebraic numbers, and some applications of them’, in Current problems of analytic number theory, Minsk, 1974, pp. 244-268 (in Russian).
Fel’dman, N.I.: ‘An effective refinement of the exponent in Liouville’s theorem’, Math. USSR Izv. 5, no. 5 (1971), 985–1002. (Izv. Akad. Nauk. SSSR Ser. Mat. 35, no. 5 (1971), 937-990)
Baker, A.: ‘Contributions to the theory of Diophantine equations I.: on the representation of integers by binary forms’, Phil. Trans. Royal Soc. London Ser. A 263 (1968), 173–191.
Baker, A.: ‘Contributions to the theory of Diophantine equations II.: The Diophantine equation y 2 =x 3 +k’ Phil. Trans. Royal Soc. London Ser. A 263 (1968), 193–208.
Baker, A.: ‘Effective methods in the theory of numbers’, in Actès du congrès internat. mathématiciens Nice, 1970, Vol. 1, Gauthier-Villars, 1971, pp. 19–26.
Baker, A.: ‘Rational approximations to 21/3 and other algebraic numbers’, Quart. J. Math. Oxford 15 (1964), 375–383.
Bombieri, E.: ‘On the Thue—Siegel—Dyson theorem’, Acta. Math. 148 (1982), 255–296.
Chudnovsky, G.: ‘On the method of Thue-Siegel’, Ann. of Math. 117 (1983), 325–382.
Baker, A.: Transcendental number theory, Cambridge Univ. Press, 1975.
Cassels, J.W.S.: An introduction to diophantine approximation, Cambridge Univ. Press, 1957.
Sprindzhuk, V.G.: Mahler’s problem in metric number theory, Amer. Math. Soc., 1969 (translated from the Russian).
Baker, A.: ‘On some Diophantine inequalities involving the exponential function’, Canad. J. Math. 17 (1965), 616–626.
Davenport, H. and Schmidt, W.: ‘Approximation to real numbers by quadratic irrationals’, Acta Arithm. 13 (1967), 169–176.
Koksma, J.F.: Diophantische Approximationen, Springer, 1936.
Lutz, E.: Sur les approximations diophantiennes linéaires p-adiques, Hermann, 1955.
Mahler, K.: ‘Ueber Beziehungen zwischen der Zahl e und den Liouvillschen Zahlen’, Math. Z. 31 (1930), 729–732.
Mahler, K.: ‘Ueber Diophantische Approximationen im Gebiete der p-adischen Zahlen’, Jahresber. Deutsch. Math-Verein. 44 (1934), 250–255.
Mahler, K.: ‘An analogue of Minkowski’s theory of numbers in a field of series’, Ann. of Math. 42 (1941), 488–522.
Mahler, K.: Lectures on Diophantine approximations, 1, Univ. Notre Dame, 1961.
Schmidt, W.: ‘Approximation to algebraic numbers’, Enseign. Math. (2) 17, no. 3–4 (1971), 187–253.
Schneider, T.V. Einführung in die transzendenten Zahlen, Springer, 1957.
Wirsing, E.: ‘Approximation mit algebraischen Zahlen beschränkten Grades’, J. Reine Angew. Math. 206, no. 1–2 (1961), 67–77.
Baker, A.: Transcendental number theory, Cambridge Univ. Press, 1975.
Schmidt, W.M.: ‘Linearformen. II’, Math. Ann. 191 (1971), 1–20.
Schmidt, W.M.: Diophantine approximation, Springer, 1980.
Vinogradov, I.M.: Fundamentals of number theory, Moscow, 1972 (in Russian).
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian).
Dickson, L.E.: History of the theory of numbers, 1, Chelsea, 1934.
Bashmakova, I.G.: Diophantus and Diophantine equations, Moscow, 1972 (in Russian).
Sierpinski, W.: On solution of equations in integers, PWN, 1956 (in Polish).
Faltings, G.: ‘Endlichkeitssätze für abelsche Varietäten über Zahlkörpern’, Invent. Math. 73 (1983), 349–366.
Manin, Yu.N.: Cubic forms. Algebra, geometry, arithmetic, North-Holland, 1974 (translated from the Russian).
Colliot-Thélène, J.L. and Sansuc, J.J.: ‘La descente sur les varietés rationnelle’, in A. Beauville (ed.): Journée de géométrie algébrique d’Angers (1979), Sijthoff & Noordhoff, 1980, pp. 223-227.
Colliot-Thélène, J.L. and Sansuc, J.J.: ‘La descente sur les varietes rationnelles II’, Duke Math. J. 54 (1987), 375–492.
Colliot-Thélène, J.L., Sansuc, J.J. and Swinnerton-Dyer, P.: ‘Intersection of two quadrics and Chatelet surfaces’, J. Reine Angew. Math. 373 (1987), 37–107.
Colliot-Thélène, J.L., Sansuc, J.J. and Swinnerton-Dyer, P.: ‘Intersection of two quadrics and Chatelet surfaces’, J. Reine Angew. Math. 374 (1987), 72–168.
Colliot-Thélène, J.L., Kanevsky, D. and Sansuc, J.J.: Aritmétique des surfaces cubiques diagonales, Lecture notes in math., 1290, Springer, 1987, pp. 1-109.
Lang, S.: Diophantine geometry, Interscience, 1962.
Mordell, L.J.: Diophantine equations, Acad. Press, 1969.
Edwards, H.M.: Fermat’s last theorem, Springer, 1977.
Weil,.: Number theory: an approach through history: from Hammupari to Legendre, Birkhäuser, 1984.
Waerden, B.L. van der: Geometry and algebra in ancient civilizations, Springer, 1983.
Baker, A.: Transcendental number theory, Cambridge Univ. Press, 1975.
Shorey, T.N. and Tudeman, R.: Exponential diophantine equations, Cambridge Univ. Press, 1987.
Lang, S.: Fundamentals of Diophantine geometry, Springer, 1983.
Ribenboim, P.: Thirteen lectures on Fermat’s last theorem, Springer, 1979.
Hasse, H.: Number theory, Springer, 1980.
Hilbert, D.: ‘Mathematical problems’, Bull. Amer. Math. Soc. 8, no. 10 (1902), 437–479.
Davis, M.: ‘Arithmetical problems and recursively enumerable predicates’, J. Symbol. Logici 18, no. 1 (1953), 33–41.
Davis, M, Putnam, H. and Robinson, J.: ‘The decision problem for exponential Diophantine equations’, Ann. of Math. 74, no. 3 (1961), 425–436.
Robinson, J.: ‘Existential definability in arithmetic’, Trans. Amer. Math. Soc. 72, no. 3 (1952), 437–449.
Matiyasevich, Yu.V.: ‘Enumerable sets are diophantine’, Soviet Math. Dokl. 11, no. 2 (1970), 354–358. (Dokl. Akad. Nauk. SSSR 191, no. 2 (1970), 279-282)
Matiyasevich, Yu.V.: ‘Diophantine sets’, Russ. Math. Surveys 27, no. 5 (1972), 124–164. (Uspekhi Mat. Nauk 27, no. 5 (1972), 185-222)
Manin, Yu.L.: ‘Hilbert’s tenth problem’, J. Soviet Math. 3, no. 1 (1975), 164–184. (Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 1 (1973), 5-37)
Davis, M., Matiyasevich, Yu.V. and Robinson, J.: ‘Hilbert’s tenth problem. Diophantine equations: positive aspects of a negative solution’, in Proc. Symp. Pure Math., Vol. 28, Amer. Math. Soc., 1976, pp. 323–375.
Manin, Yu.L.: A course in mathematical logic, Springer, 1977 (translated from the Russian).
Davis, M.: ‘Hilbert’s tenth problem is unsolvable’, Amer. Math. Monthly 80 (1973), 233–269.
Bashmakov, I.G.: Diophant und diophantische Gleichungen, Deutsch. Verlag Wissenschaft., 1974 (translated from the Russian).
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian).
Weil, A.: ‘Number theory and algebraic geometry’, in Proc. internat, congress mathematicians Cambridge, 1950, Vol. 2, Amer. Math. Soc., 1952, pp. 90–100.
Vinogradov, I.M.: The method of trigonometric sums in the theory of numbers, Interscience, 1954 (translated from the Russian).
Greenberg, M.: Lectures on forms in many variables, Benjamin, 1969.
Davenport, H.: The higher arithmetic, Hutchinson, 1952.
Cassels, J.: ‘Diophantine equations with special reference to elliptic curves’, J. London Math. Soc. 41 (1966), 191–291.
Koksma, J.F.: Diophantische Approximationen, Springer, 1936.
Lang, S.: Diophantine geometry, Interscience, 1962.
Lang, S.: ‘Some theorems and conjectures in diophantine equations’, 66 (1960), 240–249. (Bull. Amer. Math. Soc.)
Manin, Yu.N.: Cubic forms. Algebra, geometry, arithmetic, North-Holland, 1974 (translated from the Russian).
Parshin, A.N.: ‘Arithmetic on algebraic varieties’, J. Soviet Math. 1, no. 5 (1973), 594–620. (Itogi Nauk. Algebra Topol Geom. 1970(1971), 111-151)
Skolem, T.: Diophantische Gleichungen, Springer, 1938.
Swinnerton-Dyer, H.P.F.: ‘Applications of algebraic geometry to number theory’, in Proc. Symposia Pure Math., Vol. 20, Amer. Math. Soc., 1971, pp. 1–52.
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1967.
Faltings, G.: ‘Endlichkeitssätze für abelsche Varietäten über Zahlkörpern’, Invent Math. 73 (1983), 349–366. Erratum: Invent. Math. 75 (1984), 381.
Lang, S.: ‘Hyperbolic and diophantine analysis’, Bull. Amer. Math. Soc. 14 (1986), 159–205.
Lang, S.: Fundamentals of diophantine geometry, Springer, 1983.
Faltings, G. and Wüstholtz, G. (eds.): Rational points, Vieweg, 1984.
Mazur, B. ‘Arithmetic on curves’, Bull. Amer. Math. Soc. 14 (1986), 207–260.
Mazur, B.: ‘Modular curves and the Eisenstein ideal’, Publ. Math. IHES 47 (1978).
Rubin, K.: ‘Global units and ideal class groups’, Invent. Math. 89 (1987), 511–560.
Silverman, J. and Cornell, G. (eds.): Arithmetic geometry, Springer, 1985.
Szpiro, L.:’ sém. sur les pinceaux arithmétiques: La conjecture de Mordell’, Astérisque 127 (1985).
Vojta, P.: Diophantine approximations and value distribution theory, Springer, 1987.
Heath-Brown, R.: ‘Cubic forms in 10 variables’, in H. Jager (ed.): Number theory, Lecture notes in math., Vol. 1068, Springer, 1983, pp. 104-109.
Evertse, J.H.: ‘On sums of S-units and linear recurrences’, Compos. Math. 53 (1984), 225–244.
Coates, J. and Wiles, A.: ‘On the conjectures of Birch and Swinnerton-Dyer’, Invent Math. 39 (1977), 223–251.
Koblitz, N.: Introduction to elliptic curves and modular forms, Springer, 1984.
Vingradov, I.M.: Special variants of the method of trigonometric sums, Moscow, 1976 (in Russian).
Gel’fond, A.O. and Linnik, Yu.V.: Elementary methods in the analytic theory of numbers, M.I.T., 1966 (translated from the Russian).
Ostmann, H.H.: Additive Zahlentheorie, Springer, 1956.
Matiyasevich, Yu. V.: ‘Diophantine sets’, Russian Math. Surveys 27, no. 5 (1972), 124–164. (Uspekhi Mat. Nauk 27, no. 5 (1972), 185-222)
Davis, M.: ‘Hilbert’s 10-th problem is unsolvable’, Amer. Math. Monthly 80 (1973), 233–269.
Davis, M., Matiyasevich, Yu. and Robinson, J.: ‘Hilbert’s 10-th problem. Diophantine equations: positive aspects of a negative solution’, in F. Browder (ed.): Mathematical developments arising from Hilbert’s problems, Amer. Math. Soc., 1976, pp. 223-378.
Dirac, P.A.M.: The principles of quantum mechanics, Clarendon Press, 1947.
Bogolyubov, N.N. and Shirkov, D.V.: Introduction to the theory of quantized fields, Interscience, 1959 (translated from the Russian).
Brill, D.R. and Wheeler, J.A.: ‘Neutrinos in the gravitational field’, Rev. Modern Physics 29 (1957), 465.
Rodichev, V.I.: ‘The spinor field in space-time with torsion’, Zh. Eksper. Teor. Fiz. 40 (1969), 1469 (in Russian).
Krechet, V.G.: ‘The spinor field and nonmetricity of spacetime’, Izv. Voozov. Fiz. 6 (1980), 52 (in Russian).
Bjorken, J.D. and Drell, S.D.: Relativistic quantum theory, 1, McGraw-Hill, 1964.
Umezawa, H.: Quantum field theory, North-Holland, 1956.
Takahashi, Y.: An introduction to field quantization, Pergamon, 1969.
Roman, R.: Theory of elementary particles, North-Holland, 1960.
Varadarajan, V.S.: Geometry of quantum theory, 1-2, v. Nostrand, 1968 (translated from the Russian).
Hawking, S. and Ellis, G.F.R.: The large scale structure of spacetime, Cambridge Univ. Press, 1973.
Uspenskiĭ, V.A.: Leçon sur les fonctions calculables, Hermann, 1966 (translated from the Russian).
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Rothe, E.H.: ‘Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben’, Math. Ann. 102 (1930), 650–670.
Kolmogorov, A.N., Petrovskiĭ, I. G. and Piskunov, N.S.: Byull. Moskov. Gos. Univ. Sekts. A 1, no. 6 (1937), 1–26.
Dorodnitsyn, A.A.: Conf. ‘Ways of development of Soviet mathematical machine-constructions and instrument engineering’, Moscow, 1956 (in Russian).
Kostyukovich, E.Kh.: Dokl. Akad. Nauk SSSR 118, no. 3 (1958), 433–435.
Lebedev, V.I.: ‘The equations and convergence of a differential-difference method (the method of lines)’, Vestn. Moskov, Gos. Univ. 10 (1955), 47–57 (in Russian).
Oleĭnik, O.A., Kalashnikov, A.S. and Chzhou, Yu. Lin: ‘The Cauchy problem and boundary problems for equations of non-stationary filtration type’, Izv. Akad. Nauk SSSR Ser. Mat. 22, no. 5 (1958), 667–704 (in Russian).
Budak, B.M. and Gorbunov, A.D.: ‘The method of lines for solving a nonlinear boundary problem in the region bounded by a curve’, Dokl. Akad. Nauk SSSR 118, no. 5 (1958), 858–861 (in Russian).
Alikhashkin, Ya.L.: ‘Solution of the problem of incomplete device by the method of lines’, Vychisl. Mat. 1 (1957), 136–152 (in Russian).
Gilinskiĭ, S.M., Telenin, G.F. and Tinyakov, G.P.: Izv. Akad. Nauk SSSR. Mekh. i Mashinostr. 4 (1964), 9–28.
Belotserkovskii, O.M. and Chyshkin, P.I.: ‘A numerical method of integral relations’, USSR Comp. Math. Math. Phys. 2, no. 5 (1963), 823–858. (Zh. Vychisl. Mat. i Mat. Fiz. 2, no. 5 (1962), 731-759)
Roslyakov, G.S. and Telenin, G.F.: ‘Survey of work on the numerical integration of exterior and interior problems of aerodynamics carried out at Moscow University’, in Sb. Rabot. V.Ts. Moskov. Gosudarst. Univ., Vol. 11, 1968, pp. 93–112 (in Russian).
Telenin, G.F. and Tinyakov, G.P.: Dokl. Akad. Nauk SSSR 159, no. 1 (1964), 39–42.
Stulov, V.P.: Some applications of grid methods in gas dynamics, Vol. 5, Moscow, 1974, pp. 140–227 (in Russian).
Gilinskiĭ, S.M., Zapryanov, Z.D. and Chernyĭ, G.G.: Izv. Akad. Nauk SSSR. Mekh. Zhidkost. i Gaza 5 (1966), 8–13.
Gilinskiĭ, S.M. and Chernyĭ, G.G.: Izv. Akad. Nauk SSSR. Mekh. Zhidkost. i Gaza 1 (1968), 20–32.
Minotsev, V.B., Telenin, G.F. and Tinyakov, G.P.: Dokl. Akad. Nauk SSSR 179, no. 2 (1968), 304–307.
Bazzhin, A.P. and Chelisheva, I.F.: Izv. Akad. Nauk SSSR. Mekh. Zhidkost. i Gaza 3 (1967), 119–123.
Semenikhina, O.N. and Shkalova, V.P.: Izv. Akad. Nauk SSSR. Mekh. Zhidkost. i Gaza 2 (1973), 99–103.
Scott, D.S.: ‘Data types as lattices’, SIAM J. Computing 5 (1976), 522–587.
Weyl, H.: ‘Ueber gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen’, Math. Ann. 68 (1910), 220–269.
Kreĭn, M.G.: ‘On a general method for decomposing Hermitian positive kernels into elementary factors’, Dokl. Akad. Nauk SSSR 53, no. 1 (1946), 3–6 (in Russian).
Naĭmark, M.A.: Lineare Dijferentialoperatoren, Akad. Verlag, 1960 (translated from the Russian).
Berezanskiy, Yu.M. [Yu.M. Berezanskiĭ]: Expansion in eigenfunctions of selfadjoint operators, Amer. Math. Soc., 1968 (translated from the Russian).
Gel’fánd, I.M. and Shilov, G.E.: Some problems in differential equations, Moscow, 1958 (in Russian).
Gel’fánd, I.M. and Vilenkin, N.Ya.: Generalized functions. Applications of harmonic analysis, 4, Acad. Press, 1964 (translated from the Russian).
Levitan, B.M.: Eigenfunction expansions of second-order differential equations, Moscow-Leningrad, 1950 (in Russian).
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Kamke, E.: Differentialgleichungen. Lösungsmethoden und Lösungen, 1. Gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Sansone, G.: Ordinary differential equations, 1-2, Zanichelli, 1948–1949 (in Italian).
Dirichlet, P.G.L.: Vorlesungen über Zahlentheorie, Vieweg, 1894.
Vinogradov, I.M.: Selected works, Springer, 1985 (translated from the Russian).
Karatsuba, A.A.: Fundamentals of analytic number theory, Moscow, 1975 (in Russian).
Prachar, K.: Primzahlverteilung, Springer, 1957.
Chudakov, N.G.: Introductions to the theory of Dirichlet L-functions, Moscow-Leningrad, 1947 (in Russian).
Davenport, H.: Multiplicative number theory, Springer, 1980.
Burgess, D.A.: ‘Dirichlet characters and polynomials’, Proc. Steklov Inst. Math. 132 (1975), 234–236. (Trudy Mat. Inst. Steklov. 132 (1973), 203-205)
Lavrik, A.F.: ‘A method for estimating double sums with real quadratic character, and applications’, Math. USSR-Izv. 5, no. 6 (1971), 1195–1214. (Izv. Akad. Nauk SSSR Ser. Mat. 35, no. 6(1971), 1189-1207)
Dirichlet, P.G.L.: J. de Math. (2) 7 (1862), 253–255.
Dirichlet, P.G.L.: Werke, 1, Chelsea, reprint, 1969.
Fichtenholz, G.M.: Differential-und Integralrechnung, 2-3, Deutsch. Verlag Wissenschaft., 1964.
Wilks, S.S.: Mathematical statistics, Wiley, 1962.
Ferguson, T.S.: ‘A Bayesian analysis of some nonparametric problems’, Ann. Stat. 1 (1973), 209–230.
Titchmarsh, E.C.: The theory of the Riemann zeta-function, Clarendon, 1951.
Natanson, I.P.: Theorie der Funktionen einer reellen Veränderlichen, H. Deutsch, Frankfurt a.M, 1961 (translated from the Russian).
Mikhaĭlov, V.P.: Partial differential equations, Moscow, 1976 (in Russian).
Brélot, M.: Eléments de la théorie classique du potential, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
Deny, J.: ‘Méthodes Hilbertiennes et théorie du potential’, in Potential theory CIME, Cremonese, 1970.
Fukushima, M.: Di richtet forms and Markov processes, North-Holland, 1980.
Dirichlet, P.G.L.: ‘Sur la convergence des séries trigonometriques qui servent à représenter une fonction arbitraire entre des limites données’, J.für Math. 4 (1829), 157–169.
Dirichlet, P.G.L.: ‘Sur la convergence des séries trigonometriques qui servent à réprésenter une fonction arbitraire entre des limites données’, in Werke, Vol. 1, Chelsea, reprint, 1969, pp. 117–132.
Tauber, A.: ‘Ueber den Zusammenhang des reellen und imaginären Teiles einer Potentzreihe’, Monatsh. Math. 2 (1891), 79–118.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Dym, H. and McKean, H.P.: Fourier series and integrals, Acad. Press, 1972.
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1953.
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1979.
Dirichlet, P.: Vorlesungen über Zahlentheorie, Vieweg, 1894.
Davenport, H.: Multiplicative number theory, Springer, 1980.
Prachar, K.: Primzahlverteilung, Springer, 1957.
Chudakov, N.G.: Introduction to the theory of Dirichlet L-functions, Moscow-Leningrad, 1947 (in Russian).
Walfisz, A.: Weylsche Exponentialsummen in der neueren Zahlentheorie, Deutsch. Verlag Wissenschaft., 1963.
Montgomery, H.: Topics in multiplicative number theory, Springer, 1971.
Lavrik, A.F.: ‘Development of the method of density of zeros of Dirichlet L-functions’, Math. Notes 17, no. 5 (1975), 483–488. (Mat. Zametki 17, no. 5 (1975), 809-817)
Goldfeld, D. and Schinzel, A.: ‘On Siegel’s zero’, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 2 (1975), 571–583.
Gross, B.H. and Zagier, D.: ‘Heegner points and derivatives of L-series’, Invent. Math. 84 (1986), 225–320.
Michlin, S.G. [S.G. Mikhlin]: Numerische Realisierung von Variationsmethoden, Akademie Verlag, 1969 (translated from the Russian).
Monna, A.F.: Dirichlet’s principle: A mathematical comedy of errors and its influence on.the development of analysis, Oosthoek, Scheltema & Holkema, 1975.
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Courant, R.: Dirichlet’s principle, conformai mapping, and minimal surfaces, Interscience, 1950.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Equations aux dérivées partielles de type elliptique, Dunod, 1969.
Mkhaĭlov, V.P.: Partial differential equations, MIR, Moscow, 1978 (translated from the Russian).
Dirichlet, P.G.L.: Abh. Königlich. Preuss. Akad. Wiss. (1850), 99-116.
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Courant, R.: The Dirichlet priciple, conformai mapping and minimal surfaces, Interscience, 1950.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Brélot, M.: Eléments delà théorie classique du potential, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
Keldysh, M.V.: ‘On the solvability and stability of Dirichlet’s problem’, Uspekhi Mat. Nauk 8 (1941), 171–231 (in Russian).
Keldysh, M.V.: ‘On certain classes of degeneration of equations of elliptic type on the boundary of a domain’, Dokl. Akad. Nauk. SSSR 77 (1951), 181–183.
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Kellog, O.D.: Foundations of potential theory, Springer, 1929.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Riesz, F. and Nagy, B.Sz.: Leçons d’analyse fonctionnelle, Gauthier-Villars, 1968.
Friedman, A.: Partial differential equations, Holt, Rinehart & Winston, 1969.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Equations aux dérivées partielles de type elliptique, Dunod, 1969 (translated from the Russian).
Yosida, K.: Functional analysis, Springer, 1980.
Lang, S.: Complex analysis, Springer, 1985.
Gilbar, D. and Trudinger, N.S.: Elliptic partial differential equations of second order, Springer, 1983.
Helms, L.L.: Introduction to potential theory, Wiley (Interscience), 1969.
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Leont’ev, A.F.: Exponential series, Moscow, 1976 (in Russian).
Mandelbrojt, S.: Dirichlet series, principles and methods, Reidel, 1972.
Hardy, G.M. and Riesz, M.: The general theory of Dirichlet series, Cambridge Univ. Press, 1915.
Bohr, H.: Almost periodic functions, Chelsea, reprint, 1947 (translated from the German).
Levitan, B.M.: Almost-periodic Junctions, Moscow, 1953 (in Russian).
Besicovitch, A.S.: Almost periodic functions, Cambridge Univ. Press, 1932.
Corduneanu, C.: Almost periodic functions, Wiley, 1968 (translated from the Rumanian).
Cassels, J.W.S.: An introduction to diophantine approximation, Cambridge Univ. Press, 1957.
Dirichlet, P.G.L.: Werke, 1, Springer, 1889.
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian).
Dirichlet, P.G.L.: Vorlesungen über Zahlentheorie, Vieweg, 1894.
Prachar, K.: Primzahlverteilung, Springer, 1957.
Karatsuba, A.A.: Fundamentals of analytic number theory, Moscow, 1975 (in Russian).
Dirichlet, P.G.L.: ‘Sur la convergence des series trigonométriques qui servent à représenter une fonction arbitraire entre des limites donnés’, J. Math. 4 (1829), 157–169.
Dirichlet, P.G.L.: Werke, 1, Springer, 1889.
Jordan, C.: CU Acad Sci. 92 (1881), 228–230.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1, Cambridge Univ. Press, 1988.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Sobolev, S.L.: Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Nikol’skiĭ, S.M.: ‘On Dirichlet’s problem for the circle and half-space’, Mat. Sb. 35, no. 2 (1954), 247–266 (in Russian).
Kudryavtsev, L.D.: Trudy Mat. Inst. Steklov. 55 (1959), 1–181
Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 1, Moscow, 1976 (in Russian).
Hörmander, L.: An introduction to complex analysis in several variables, North-Holland, 1973.
Ahlfors, L.V.: Complex analysis, McGraw-Hill, 1978.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1987.
Kampen, E. R. van: ‘On some characterizations of 2-dimensional manifolds’, Duke Math. J. 1 (1935), 74–93.
Zippin, L.: ‘On continuous curves and the Jordan curve theorem’, Amer. J. Math. 52 (1930), 331–350.
Choquet, G.: Outils topologiques et métriques de l’analyse mathématique, Centre de Documentation Univ. Paris, 1969. Rédigé par G. Mayer.
Oxtoby, J.C.: Measure and category, Springer, 1971.
Gyunter, N.M.: A course in the calculus of variations, Leningrad-Moscow, 1941 (in Russian).
Smirnov, V.I.: A course of higher mathematics, 4, Addison-Wesley, 1964 (translated from the Russian).
Pontryagin, L.S., et al.: The mathematical theory of optimal processes, Wiley, 1962 (translated from the Russian).
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic optimal control, Springer, 1975.
Bryson, A.E. and Ho, Y.-C.: Applied optimal control, Ginn & Waltham, 1969.
Weyl, H.: ‘Ueber die Gleichverteilung von Zahlen mod Eins’, Math. Ann. 77 (1916), 313–352.
Corput, J.G. van der: ‘Verteilungsfunktionen’, Proc. Koninkl. Ned Akad. Wet. A 38, no. 8 (1935), 813–821; 1058-1066.
Aardenne-Ehrenfest, T. van: ‘On the impossibility of a just distribution’, Indag. Math. 11 (1949), 264–269.
Roth, K.F.: ‘On irregularities of distribution’, Mathematika 1 (1954), 73–79.
Schmidt, W.M.: ‘Irregularities of distribution VII’, Acta Arithm. 21 (1972), 45–50.
Halton, J.H.: ‘On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals’, Numer. Math. 2, no. 2 (1960), 84–90.
Sobol’ I.M.: ‘The distribution of points in a cube and the approximate evaluation of integrals’, USSR Comp. Math. and Math. Phys. 7, no. 4 (1967), 86–112. (Zh. Vychisl. Mat. i Mat. Fiz. 7, no. 4 (1967), 784-802)
Korobov, N.M.: Number-theoretical methods in approximate analysis, Moscow, 1963 (in Russian).
Kuipers, L. and Niederreiter, H.: Uniform distribution of sequences, Wiley, 1974.
Beck, J. and Chen, W.L.: Irregularities of distribution, Cambridge Univ. Press, 1987.
Berezin, I.S. and Zhidkov, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian).
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian)
Yablonskiĭ, S.V.: ‘A survey of some results in discrete mathematics’, Informatsionnye Materialy 5 (1970), 5–15 (in Russian).
Kemeny, J., Snell, J. and Thompson, G.L.: Introduction to finite mathematics, Prentice-Hall, 1966.
Poincaré, H.: ‘Théorie des groupes fuchsiennes’, in Oeuvres, Vol. 2, Gauthier-Villars, 1952, pp. 108–168. Acta Math. 1 (1982), 1-62.
Poincaré, H.: ‘Mémoire sur les groupes kleinéens’, in Oeuvres, Vol. 2, Gauthier-Villars, 1952, pp. 258–299. Acta Math. 3 (1883), 49-92.
Gerstenhaber, M.: ‘On the algebraic structure of discontinuous groups’, Proc. Amer. Math. Soc. 4 (1953), 745–750.
Aleksandrov, A.D.: ‘On a completion of a space of polyhedra’, Vestnik Leningrad. Gos. Univ. 9, no. 2 (1954), 34–43 (in Russian).
Coxeter, H.S.M. and Moser, W.O.J.: Generators and relations for discrete groups, Springer, 1972.
Weil, A.: ‘Discrete subgroups of Lie groups’, Ann. of Math. 72 (1960), 369–384.
Macbeath, A.M.: ‘Groups of homeomorphisms of a simply connected space’, Ann. of Math. 79 (1964), 473–488.
Abels, H.: Geometrische Erzeugung von diskontinuierlichen Gruppen, Univ. Münster, 1966.
Grothendieck, A.: ‘Sur quelques points d’algèbre homologique’, Tohoku Math. J. 9 (1957), 119–221.
MacLane, S.: Homology, Springer, 1963.
Lehner, J.: Discontinuous groups and automorphic functions, Amer. Math. Soc., 1964.
Serre, J.P.: ‘Cohomogie des groupes discretes’, C.R. Acad. Sci. Paris 268 (1969), 268–271.
Baerdon, A.F.: The geometry of discrete groups, Springer, 1983.
Wolf, J.A.: Spaces of constant curvature, McGraw-Hill, 1967.
Borel, A. and Wallach, N.: Continuous cohomology, discrete subgroups and representations of reductive groups, Princeton Univ. Press, 1980.
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, Graylock, 1957-1961 (translated from the Russian).
Endler, O.: Valuation theory, Springer, 1972.
Korbut, A.A. and Finkel’shteĭn, Yu.Yu.: Discrete programming, Moscow, 1969 (in Russian).
Korobkov, V.K.: ‘On certain integer-valued problems of linear programming’, Probl. Kibernetiki 14 (1965), 297–299 (in Russian).
Finkel’shteĭn, Yu.Yu.: Approximate methods and applied problems in discrete programming, Moscow, 1976 (in Russian).
Discrete mathematics and mathematical problems in cybernetics, 1, Moscow, 1974 (in Russian).
Zhuravlev, Yu.L.: ‘Appraisals of the complexity of local algorithms for certain extremal properties on finite sets’, Diskretn. Anal. 3 (1964), 41–77 (in Russian).
Gondran, M. and Minoux, M.: Graphs and algorithms, Wiley, 1984.
Lawler, E.L.: Combinatorial optimization: networks and matroids, Holt, Rinehart & Winston, 1976.
Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G. and Shmoys, D.B. (eds.): The traveling salesman problem: a guided tour of combinatorial optimization, Wiley, 1985.
Papadimitriou, C.H. and Steiglitz, K.: Combinatorial optimization: algorithms and complexity, Prentice-Hall, 1982.
Schrijver, A.: Theory of linear and integer programming, Wiley, 1986.
Dixmier, J.: C algebras, North-Holland, 1977 (translated from the French).
Harish-Chandra: ‘Discrete series for semisimple Lie groups I’, Acta Math. 113 (1965), 241–318.
Harish-Chandra: ‘Discrete series for semisimple Lie groups II’, Acta Math. 116 (1966), 1–111.
Schmid, W.: ‘L 2-cohomology and the discrete series’, Ann. of Math. 103 (1976), 375–394.
Kleppner, A. and Lipsman, R.: ‘The Plancherel formula for group extensions’, Ann. Sci. Ecole Norm Sup. 5 (1972), 459–516.
Kleppner, A. and Lipsman, R.: ‘The Plancherel formula for group extensions II’, Ann. Sci. Ecole Norm. Sup. 6 (1973), 103–132.
Varadarajan, V.S.: Harmonic analysis on real reductive groups, Springer, 1977.
Sokolov, A. and Ivanenko, D.: Quantum field theory, Moscow-Leningrad, 1952 (in Russian).
Vyal’tsev, A.N.: Discrete space-time, Moscow, 1965 (in Russian).
Blokhintsev, D.I.: Space and time in the micro-universe, Moscow, 1970 (in Russian).
Markov, M.A.: The nature of matter, Moscow, 1976 (in Russian).
Finkel’steĭn, D.: Phys. Rev. 9, no. 8 (1974), 2219.
Schild, A.: ‘Discrete space-time and integral Lorentz transformations’, Canad J. Math. 1 (1949), 29–47.
Coxeter, H.S.M. and Whitrow, G.J.: ‘World structure and non-Euclidean honeycombs’, Proc. Royal Soc. London A201 (1950), 417–437.
Lee, T.D.: Physics Lett. 122B (1983), 217.
Auslander, L.: ‘Bieberbach’s theorem on space groups and discrete uniform subgroups of Lie groups’, Amer. J. Math. 83 (1961), 276–280.
Auslander, L.: ‘On radicals of discrete subgroups of Lie groups’, Amer. J. Math. 85 (1963), 145–150.
Borel, A.: ‘Density properties for certain subgroups of semisimple groups without compact components’, Ann. of Math. 72 (1960), 179–188.
Borel, A. and Harish-Chandra: ‘Arithmetic subgroups of algebraic groups’, Ann. of Math. 75 (1962), 485–535.
Weil, A.: ‘Discrete subgroups of Lie groups I’ Ann. Math. 72 (1960), 369–384.
Weil, A.: ‘Discrete subgroups of Lie groups II’, Ann. Math. 75 (1962), 578–602.
Vinberg, E.B.: ‘Discrete groups generated by reflections in Lobachevskiĭ spaces’, Math. USSR-Sb. 1, no. 3 (1967), 429–444. (Mat. Sb. 72, no. 3 (1967), 471-488)
Garland, H. and Raghunathan, M.S.: ‘Fundamental domains for lattices in (R-) rank 1 semisimple Lie groups’, Ann. of Math. 92 (1970), 279–326.
Makarov, V.S.: ‘A certain class of discrete Lobachevskiĭ space groups with an infinite fundamental region of finite measure’, Soviet Math.-Dokl. 7 (1966), 328–331. (Dokl. Akad. Nauk. SSSR 167, no. 1 (1966), 30-33)
Mal’tsev, A.I.: ‘On a class of homogeneous spaces’, Izv. Akad. Nauk. SSSR Ser. Mat. 13, no. 1 (1949), 9–32 (in Russian).
Margulis, G.A.: ‘Arithmetic properties of discrete subgroups’, Russian Math. Surveys 29, no. 1 (1974), 107–156. (Uspekhi Mat. Nauk 29, no. 1 (1974), 49-98)
Margulis, G.A.: ‘Discrete groups of motions of manifolds of non-positive curvature’, in Proc. Internat. Congress Mathematicians Vancouver, 1974, Vol. 2, pp. 21–34 (in Russian).
Mostow, G.D.: ‘Factor spaces of solvable groups’, Ann. of Math. 60 (1954), 1–27.
Mostov, G.D.: ‘Representative functions on discrete groups and solvable arithmetic subgroups’, Amer. J. Math. 92 (1970), 1–32.
Mostow, G.D.: Strong rigidity of locally symmetric spaces, Princeton Univ. Press, 1973.
Raghunathan, M.: Discrete subgroups of Lie groups, Springer, 1972.
Selberg, A.: ‘On discontinuous groups in higher-dimensional symmetric spaces’, in Internat. Coll. function theory, Tata Inst., 1960, pp. 147-164.
Wang, H.-C.: ‘On a maximality property of subgroups with fundamental domain of finite measure’, Amer. J. Math. 89 (1967), 124–132.
Wang, H.-C.: ‘Topics on totally discontinuous groups’, in Symmetric spaces, M. Dekker, 1972, pp. 459-487.
Margulus, G.A.: Arithmeticity of irreducible lattices in semisimple groups of rank exceeding 1, Mir, 1977 (in Russian). Appendix to the Russian translation of: M.S. Raghunathan: ‘On the congruence subgroup problem’, Publ. Math. IHES 46 (1976), 107-161.
Mostow, G.D.: ‘Existence of nonarithmetic monodromy groups’, Proc. Nat. Acad. Sc. U.S.A. 78 (1981), 5948–5950.
Zimmer, R.J.: Ergodic theory and semisimple groups, Birkhäuser, 1984.
Humphreys, J.E.: ‘Arithmetic groups’, in Topics in the theory of arithmetic groups, Notre Dame Univ., 1982, pp. 73-97.
Kazhdan, D.A. and Margulis, G.A.: ‘A proof of Selberg’s conjecture’, Math. USSR-Sb. 4, no. 1 (1968), 147–152. (Mat. Sb. 75(1968), 163-168)
Tits, J.: Travaux de Margulis sur les sous-groupes discrets de groupes de Lie’, in Sem. Bourbaki 1975/1976, Exp. 482, Springer, 1977, pp. 174-190.
Huang, K.: Statistical mechanics, Wiley, 1963.
Ziman, J.M.: Principles of the theory of solids, Cambridge Univ. Press, 1972.
Bogolyubov, Jr., N.N.: Method for studying model Hamiltonian, Pergamon Press, 1972 (in Russian).
Wilson, K.G. and Kogut, J.: ‘The renomalization group and the ϵ-expansion’, Phys. Rep. 12c (1974), 75–199.
Aleksandrov, P.S.: ‘Diskrete Räume’, Mat. Sb. 2 (1937), 501–520.
Gierz, G., Hofmann, K.H., Keimel, K., Lawson, J.D., Mislove, M. and Scott, D.S.: A compendium of continuous lattices, Springer, 1980.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1967.
Kaplansky, J.: ‘Modules over Dedekind rings and valuation rings’, Trans. Amer. Math. Soc. 72 (1952), 327–340.
Marchuk, G.I.: Methods of numerical mathematics, Springer, 1975 (translated from the Russian).
Samarskii, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Yanenko, N.N.: The method of fractional steps; the solution of problems of mathematical physics in several variables, Springer, 1971 (translated from the Russian).
D’yakonov, E.G.: ‘On the stability of difference schemes for some nonstationary problems’, in J. Miller (ed.): Topics in numerical analysis, Acad. Press, 1973, pp. 63-87 (translated from the Russian).
Kovenya, V.M. and Yanenko, N.N.: Discretization methods in problems of gas dynamics, Novosibirsk, 1981 (in Russian).
Mitchell, A.R.: Computational methods in partial differential equations, Wiley, 1969.
Fairweather, G.: Finite element Galerlin methods for differential equations, M. Dekker, 1978.
Zlotnik, A.A.: ‘The rate of convergence of the projectiondifference scheme with a splitting operator for parabolic equations’, USSR Comput. Math. Math. Phys. 20, no. 2 (1980), 155–164. (ZA. Vychisl. Mat. Mat. Fiz. 20, no. 2 (1980), 422-432)
Glowinski, R.: ‘On a new preconditioner for the Stokes problem’, Math. Aplic. Comp. 6, no. 2 (1987), 123–140.
Douglas, J.: ‘On the numerical integration of u xx + u yy=u t by implicit methods’, J. Soc. Ind. Appl. Math. 3 (1955), 42–65.
Douglas, J. and Rachford, H.H.: ‘On the numerical solution of heat conduction problems in two and three space variables’, Trans. Amer. Math. Soc. 82 (1956), 421–439.
Forsythe, G.E. and Wasow, W.R.: Finite difference methods for partial differential equations, Wiley, 1960.
Gourlay, A.R.: ‘Hopscotch, a fast second-order partial differential equation solver’, J. Inst. Math. Appl. 6 (1970), 375–390.
Mitchell, A.R. and Griffiths, D.F.: The finite difference method in partial differential equations, Wiley, 1980.
Paeceman, D.W. and Rachford, H.H.: ‘The numerical solution of parabolic and elliptic differential equations’, J. Soc. Indust. Appl. Math. 3 (1955).
Ames, W.F.: Numerical methods for partial differential equations, Acad. Press, 1977.
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wesley, 1975, Chapt.4; 5; 6 (translated from the French).
Dieudonné, J.A.: La géométrie des groups classiques, Springer,1955.
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian).
Lang, S.: Algebraic numbers, Addison-Wesley, 1964.
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Jacobson, R.: The theory of rings, Amer. Math. Soc., 1943.
Jacobson, N.: The theory of rings, Amer. Math. Soc., 1943.
Jacobson, N.: Lectures in abstract algebra, 3. Theory of fields and galois theory, v. Nostrand, 1964.
Lang, S.: Algebraic numbers, Addison-Wesley, 1964.
Weil, A.: Basic number theory, Springer, 1967.
Weiss, E.: Algebraic number theory, McGraw-Hill, 1963.
Anderson, T.W.: An introduction to multivariate statistical analysis, Wüey, 1958.
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 3. Design and analysis, and time-series, Griffin, 1966.
Anderson, T.W. and Bahadur, R.R.: ‘Classification into two multivariate normal distributions with different covariance matrices’, Ann. Math. Stat. 33, no. 2 (1962), 420–431.
Fisher, R.A.: Ann. Eugenics 7, no. 11 (1936), 179–188.
Wald, A.: ‘On a statistical problem arising in the classification of an individual into one of two groups’, Ann. Math. Stat. 15, no. 2 (1944), 145–162.
John, S.: ‘On some classification problems I, II’, Sankhya 22, no. 3’4 (1960), 301–316.
Welch, B.L.: ‘Note on discriminant functions’, Biometrika 31, no. 1–2 (1939), 218–220.
Gupta, S.D.: ‘Optimum classification rules for classification into two multivariate normal distributions’, Ann. Math. Stat. 36, no. 4 (1965), 1174–1184.
Bunke, O.: ‘Stabilität statistischer Entscheidungsprobleme und Anwendugen in der Discriminanzanalyse’, Z. Wahrsch. Verw. Geb. 7, no. 2 (1967), 131–146.
Ryzin, J. van: ‘Bayes risk consistency of classification procedures using density estimation’, Sankhya Ser. A 28 (1966), 261–270.
Kudô, A.: Mem. Fac. Sci. Kyushu Univ. Ser. A 17, no. 1 (1963), 63–75.
Urbakh, V.Yu.: Statistical methods of classification, 1, Moscow, 1969, pp. 79–173 (in Russian) (See the list of references).
Sansone, G.: Equazioni differenziali nel campo reale, 2, Zanichelli, 1949.
Golubev, V.V.: Vorlesungen über Differentialgleichungen im Komplexen, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Ince, E.L.: Ordinary differential equations, Dover, reprint, 1956.
Rao, C.R.: Linear statistical inference and its applications, Wiley, 1965.
Kantorovich, L.V., Vulikh, B.Z. and Pinsker, A.G.: Functional analysis in semi-ordered spaces, Moscow-Leningrad, 1950 (in Russian).
Vulikh, B.Z.: Introduction to the theory of partially ordered spaces, Wolters-Noordhoff, 1967 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Integration, Addison-Wesley, 1975, Chapt. 6; 7; 8 (translated from the French).
Luxemburg, W.A.J. and Zaanen, A.C.: Riesz spaces, I, North-Holland, 1971.
Dixmier, J.: C* algebras, North-Holland, 1977 (translated from the French).
Arveson, W.: An invitation to C*-algebras, Springer, 1976.
Gnedenko, B.V.: The theory of probability, Chelsea, reprint, 1962 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1-2, Wüey, 1957-1971.
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Fisher, R.A.: Statistical methods of research workers, Oliver & Boyd, 1925.
Scheffe, H.: The analysis of variance, Wiley, 1959.
Hald, A.: Statistical theory with engineering applications, Wiley, 1952.
Snedecor, G.W. and Cochean, W.G.: Statistical methods: applied to experiments in agriculture and biology, Iowa State College Collegiate Press, 1957.
Nikulin, M.S.: ‘Application of the model of two-factor analysis of variance without interaction’, J. Soviet Math. 25, no. 3 (1984), 1196–1207. (Zap. Nauchn. Sent Leningrad Otdel Mat. Inst. Steklov. Stud Mat. Stat. 108, no. 5 (1981), 134-153)
Cramér, H. and Leadbetter, M.R.: Stationary and related stochastic processes, Wiley, 1967.
Anderson, T.W.: An introduction to multivariate statistical analysis, Wiley, 1958.
Ibragimov, I.S. and Has’minskii, R.Z. [R.Z. Khas’minskiĭ]: Statistical estimation: asymptotic theory, Springer, 1981 (translated from the Russian).
Landau, L.D. and Lifshitz, E.M.: Electrodynamics of continous media, Pergamon, 1960 (translated from the Russian).
Silin, V.P. and Rukhadze, A.A.: Electromagnetic properties of plasma and plasma-like media, Moscow, 1961 (in Russian).
L. Brillouin: Wave propagation and group velocity, Acad. Press, 1960.
Timman, R., Hermans, A.J. and Hsian, G.C.: Water waves and ship hydrodynamics, Martinus Nijhoff, 1985.
Whitham, G.B.: Linear and nonlinear waves, Wiley (Interscience), 1974.
Zanderer, E.: Partial differential equations of applied mathematics, Wiley (Interscience), 1983.
Linnik, Yu.V.: The dispersion method in binary additive problems, Amer. Math. Soc., 1963 (translated from the Russian).
Prachar, K.: Primzahlverteilung, Springer, 1957.
Bredekhin, B.M.: ‘The dispersion method and definite binary additive problems’, Russian Math. Surveys 20, no. 2 (1965), 85–125. (Uspekhi Mat. Nauk 20, no. 2 (1965), 89-130)
Bredekhin, B.M. and Linnik, Yu.V.: ‘A new method in analytic number theory’, in Current problems in analytic number theory, Minsk, 1974, pp. 5-22 (in Russian).
Bogolyubov, N.N., Medvedev, B.V. and Polivanov, M.K.: Questions in the theory of dispersion relations, Moscow, 1958 (in Russian).
Vladimirov, V.S.: Generalized functions in mathematical physics, MIR, 1979 (translated from the Russian).
Bogolyubov, N.N., Zogurov, AA, Oksakh, A.I. and Todorov, I.T.: Generalized principles of quantum field theory, Nauka, Moscow, 1987 (in Russian).
Kronig, R.: J Opt. Soc. Amer 12 (1926), 547.
Kramers, H.A.: Atti. Congr. Intern. Fisici Corno, Vol. 2, 1927, p. 545.
Kampen, N.G. van: ‘S-matrix and causality condition I. Maxwell field’, Phys. Rev. 89 (1953), 1072–1079.
Kampen, N.G. van: ‘S-matrix and causality condition II. Non-relativistic particles’, Phys. Rev. 91 (1953), 1267–1276.
Bremermann, H.: Distributions, complex variables, and Fourier transforms, Addison-Wesley, 1965.
Whitham, G.B.: Linear and nonlinear waves, Wiley (Interscience), 1974.
Kuratowski, K.: Topology, Acad. Press, 1966-1968 (translated from the French).
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Landau, L.D. and Lifshitz, E.M.: Fluid mechanics, Pergamon, 1959 (translated from the Russian).
Pai, S.J.: Viscous flow theory, 1. Laminar flow, v. Nostrand, 1956.
Foiaş, C. and Sz.-Nagy, B.: Harmonic analysis of operators on Hilbert space, North-Holland, 1970 (translated from the French).
Kreĭn, S.G.: Linear differential equations in Banach space, Transl. Math. Monographs, 29, Amer. Math. Soc., 1971 (translated from the Russian).
Livshits, M.S.: ‘On the spectral resolution of linear non-selfadjoint operators’, Transi Amer. Math. Soc. (2) 5, (1957), 67–114. (Mat. Sb. 34, no. 1 (1954), 145-199)
Phillips, R.S.: ‘Dissipative operators and hyperbolic systems of partial differential equations’, Trans. Amer. Math. Soc. 90, no. 2 (1959), 193–254.
Crandall, M. and Pazy, A.: ‘Semi-groups of nonlinear contractions’, J. Funct. Anal. 3 (1969), 376–418.
Lumer, G. and Phillips, R.: ‘Dissipative operators in a Banach space’, Pacific J. Math. 11 (1961), 679–698.
Fattorini, H.O.: The Cauchy problem, Addison-Wesley, 1983, pp. 120-125; 154-159.
Gohberg, I.C. [I.C. Gokhberg] and Kreĭn, M.G.: Introduction to the theory of linear nonselfadjoint operators, Transl. Math. Monographs, 18, Amer. Math. Soc., 1969.
Pliss, V.A.: Nonlocal problems of the theory of oscillations, Acad. Press, 1966 (translated from the Russian).
Demidovich, B.P.: A course in the mathematical theory of stability, Moscow, 1967 (in Russian).
Hale, J.K.: Ordinary differential equations, Wiley, 1980.
Auslander, L., Green, L. and Hahn, F.: Flows on homogeneous spaces, Princeton Univ. Press, 1963.
Furstenberg, H.: ‘The structure of distal flows’, Amer. J. Math. 85, no. 3 (1963), 477–515.
Bronshteĭn, I. U.: Extensions of minimal transformation groups, Sythoff & Noordhoff, 1979 (translated from the Russian).
Ellis, R.: Lectures on topological dynamics, Benjamin, 1969.
Ellis, R.: ‘The Furstenberg structure theorem’, Pacific J. Math. 76 (1978), 345–349.
Ellis, R.: ‘The Veech structure theorem’, Trans. Amer. Math. Soc. 186 (1973), 203–218.
Ihrig, E. and McMahon, D.: ‘On distal flows of finite codimension’, Indian Univ. Math. J. 33 (1984), 345–351.
McMahon, D. and Nachman, L.J.: ‘An instrinsic characterization for Pl-flows’, Pacific J. Math. 89 (1980), 391–403.
McMahon, D. and Wu, T.S.: ‘Distal homomorphisms of non-metric minimal flows’, Proc. Amer. Math. Soc. 82 (1981), 283–287.
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Jenkins, J.J.: Univalent functions and conformai mappings, Springer, 1958.
Chernikov, V.V.: ‘Extremal properties of univalent conformai mappings’, in Results of investigation in mathematics and mechanics during 50 years: 1917–1967, Tomsk, 1967, pp. 23-51 (in Russian).
Bazilevich, I.E.: Mathematics in the USSR during 40 years, 1917–1957, Vol. 1, Moscow, 1959, pp. 444–472 (in Russian).
Belinskii, P.P.: General properties of quasi-conformai mappings, Novosibirsk, 1974 (in Russian).
Kühnau, R.: ‘Verzerrungssätze und Koeffizientenbedingungen vom Grunskyschen Typ für quasikonforme Abbildungen’, Math. Nachrichten 48 (1971), 77–105.
Duren, P.L.: Univalent functions, Springer, 1983.
Pommerenke Ch.: Univalent functions, Vandenhoeck & Ruprecht, 1975.
Cramér, H.: Random variables and probability distributions, Cambridge Univ. Press, 1970.
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Feller, W.: An introduction to probability theory and its applications, 1-2, Wiley, 1957-1971.
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Johnson, N.L. and Kotz, S.: Distributions in statistics, Houghton-Miflin, 1970.
Weyl, H.: ‘Ueber die Gleichverteilung von Zahlen mod Eins’, Math. Ann. 77 (1916), 313–352.
Vinogradov, I.M.: The method of trigonometric sums in the theory of numbers, Interscience, 1954 (translated from the Russian).
Hua, L.-K.: ‘Abschätzungen von Exponentialsummen und ihre Anwendung in der Zahlentheorie’, in Enzyklopaedie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen, Vol. 1, 1959. Heft 13, Teil 1.
Hlawka, E.: Theorie der Gleichverteilung, B.I.-Wissenschaftverlag, 1979.
Kuipers, L. and Niederreiter, H.: Uniform distribution of sequences, Wiley, 1974.
Cassels, J.W.S.: An introduction to diophantine approximation, Cambridge Univ. Press, 1957.
Gauss, C.F.: Untersuchungen über höhere Arithmetik, A. Maser, 1889.
Vinogradov, I.M.: Selected works, Springer, 1985 (translated from the Russian).
Linnik, Yu.V.: Dokl. Akad. Nauk SSSR 36 (1942), 131.
Burgess, D.A.: ‘The distribution of quadratic residues and non-residues’, Mathematika 4, no. 8 (1957), 106–112.
Stepanov, S.A.: ‘Constructive methods in the theory of equations over finite fields’, Proc. Steklov lnst. Math. 132 (1975), 271–281. (Trudy Mat. Inst. Steklov. 132 (1973), 237-246)
Karatsuba, A.A.: ‘Character sums and primitive roots in finite fields’, Soviet Math.-Dokl. 9, no. 3 (1968), 755–757. (Dokl. Akad. Nauk SSSR 180, no. 6 (1968), 1287-1289)
Euler, L.: Einleitung in die Analysis des Unendlichen, Springer, 1983 (translated from the Latin).
Chebyshev, P.L.: Oevres de P.L Tchebycheff, 1-2, Chelsea, reprint, No date.
Riemann, B.: Werke, Teubner, 1892.
Ingham, A.E.: The distribution of prime numbers, Cambridge Univ. Press, 1932.
Vinogradov, A.I.: Selected works, Springer, 1985 (translated from the Russian).
Vinogradov, I.M.: ‘A new estimate of the function ζ(1+it)’, Izv. Akad. Nauk SSSR Ser. Mat. 22, no. 2 (1958), 161–164 (in Russian).
Vinogradov, I.M.: The method of trigonometric sums in the theory of numbers, Interscience, 1954 (translated from the Russian).
Titchmarsh, E.C.: The theory of the Riemann zeta-function, Clarendon Press, 1951.
Prachar, K.: Primzahlverteilung, Springer, 1957.
Karatsuba, A.A.: Fundamentals of analytic number theory, Moscow, 1975 (in Russian).
Hua, L.-K.: ‘Abschätzungen von Exponentialsummen und ihre Anwendung in der Zahlentheorie’, in Enzyklopaedie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen, Vol. 1, 1959. Heft 13, Teil 1.
Chudakov, N.G.: Introductions to the theory of Dirichlet L-functions, Moscow-Leningrad, 1947 (in Russian).
Lavrik, A.F.: ‘On the distribution of primes based on I.M. Vinogradov’s method of trigonometric sums’, Trudy Mat. Inst. Steklov. 64 (1961), 90–125 (in Russian).
Davenport, H.: Multiplicative number theory, Springer, 1980.
Halberstam, H. and Richert, H.: Sieve methods, Acad. Press, 1974.
Selberg, A.: ‘An elementary proof of the prime-number theorem’, Ann. of Math. 50 (1949), 305–313.
Erdös, P.: ‘On a new method in elementary number theory which leads to an elementary proof of the prime number theorem’, Proc. Nat. Acad Sci. USA 35 (1949), 374–384.
Lavrik, A.F.:’ survey address’, in Internat. Conf on Number Theory, Moscow, 1981 (in Russian).
Diamond, H.G. and Steinig, J.: ‘An elementary proof of the prime number theorem with a remainder term’, Indag. Math. 11 (1970), 199–258.
Lavrik, A.F. and Sobirov, A.Sh.: ‘On the remainder term in the elementary proof of the prime number theorem’, Soviet Math. Dokl. 211 (1973), 1063–1066. (Dokl. Akad. Nauk SSSR 211, no. 3 (1973), 534-536)
Rosser, B.: ‘The n-th prime is greater than n log n’, Proc. London Math. Soc. (2) 45 (1939), 21–44.
Linnik, Yu.V.: ‘The large sieve’, Dokl. Akad. Nauk SSSR 30, no. 4 (1941), 292–294 (in Russian).
Linnik, Yu.V.: ‘On the least prime in an arithmetic progression I. The basic theorem’, Mat. Sb. 15 (1944), 139–178 (in Russian).
Lavrik, A.F.: ‘A survey of Linnik’s large sieve and the density theory of zeros of L-functions’, Russian Math. Surveys 15, no. 2 (1980), 63–76. (Uspekhi Mat. Nauk 35, no. 2 (1980), 55-65)
Diamond, H.G.: ‘Elementary methods in the study of the distribution of prime numbers’, Bull. Amer. Math. Soc. 7 (1982), 553–589.
Ellison, W.J. and Mendès France, M.: Les nombres premiers, Hermann, 1975.
Ivic, A.: The Riemann zeta-function, Wiley, 1985.
Newman, D.J.: ‘Simple analytic proof of the prime number theorem’, Amer. Math. Monthly 87 (1980), 693–696.
Riesel, H.: Prime numbers and computer methods for factorisation, Birkhäuser, 1985.
Bombieri, E.: ‘La grand crible dans la théorie analytique des nombres’, Astérisque 18 (1974).
Gnedenko, B.V. and Kolmogorov, A.N.: Limit distributions for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Loeve, M.: Probability theory, Princeton Univ. Press, 1963.
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1971.
Sharpe, M.: ‘Operator stable distributions on vector groups’, Trans. Amer. Math. Soc. 136 (1969), 51–65.
Linnik, Yu.V.: Statistical problems with nuisance parameters, Amer. Math. Soc., 1968 (translated from the Russian).
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1959.
Zacks, S.: The theory of statistical inference, Wiley, 1971.
Billingsley, P.: Convergence of probability measures, Wiley, 1968.
Loève, M.: Probability theory, Princeton Univ. Press, 1963.
Bhattacharya, R.N. and Ranga Rao, R.: Normal approximation and asymptotic expansions, Wiley, 1976.
Birkhoff, G.: Lattice theory, Colloq. Publ.; 25, Amer. Math. Soc., 1973.
Skornyakov, L.A.: Elements of lattice theory, Moscow, 1982 (in Russian).
Grätzer, G.: General lattice theory, Birkhäuser, 1978. Original: Lattice theory. First concepts and distributive lattices. Freeman, 1978.
Birkhoff, G.: ‘On the combination of subalgebras’, Proc. Cambr. Philos. Soc. 29 (1933), 441–464.
Stone, M.H.: ‘Topological representation of distributive lattices and Brouwerian logics’, Casopis Pešt. Mat. Fys. 67 (1937), 1–25.
Priestley, H.A.: ‘Ordered topological spaces and the representation of distributive lattices’, Proc. Lond. Math. Soc. (3) 24 (1972), 507–530.
Priestley, H.A.: ‘Ordered sets and duality for distributive lattices’, in Orders: Description and Roles, Ann. Discrete Math., Vol. 23, North-Holland, 1984, pp. 39–60.
Balbes, R. and Dwinger, P.: Distributive Lattices, Univ. of Missouri Press, 1974.
Stein, Sh.: ‘On a construction of Hosszu’, Publ. Math. Debrecen 6, no. 1–2 (1959), 10–14.
Belousov, V.D.: ‘The structure of distributive quasigroups’, Mat. Sb. 50, no. 3 (1960), 267–298 (in Russian).
Belousov, V.D.: Foundations of the theory of quasi-groups and loops, Moscow, 1967 (in Russian).
Fischer, B.: ‘Distributive Quasigruppen endlicher Ordnung’, Math. Z. 83, no. 4 (1964), 267–303.
Galkin, V.M.: ‘Finite distributive quasigroups’, Math. Notes 24 (1978), 525–526. (Mat Zametki 24 (1978), 39-41; 141)
Kochin, N.E.: Vector calculus and fundamentals of tensor calculus, Moscow, 1965 (in Russian).
Rashewski, P.K. [P.K. Rashevskiĭ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Bourne, D.E. and Kendall, P.C.: Vector analysis and Cartesian tensors, Nelson and Sons, Sunbury-on-Thames, 1977.
Borel, E.: Leçons sur les series divergentes, Gauthier-Villars, 1928.
Hardy, G.H.: Divergent series, Clarendon, 1949.
Cooke, R.G.: Infinite matrices and sequence spaces, MacMillan, 1950.
Peyerimhoff, A.: Lectures on summability, Springer, 1969.
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964.
Zeller, K. and Beekmann, W.: Theorie der Limitierungsverfahren, Springer, 1970.
Vorob’ev, N.N.: Divisibility criteria, Moscow, 1974 (in Russian).
Kummer, E.: ‘Zur Theorie der komplexen Zahlen’, J. Reine Angew. Math. 35 (1847), 319–326.
Vinogradov, I.M.: Elements of number theory, Dover, reprint, 1954 (translated from the Russian).
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian).
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955–1956 (translated from the Russian).
Kargapolov, M.I. and Merzlyakov, Yu.L.: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Fuchs, L.: Infinite abelian groups, 1, Acad. Press, 1970, Chapt. 4.
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Albert, A.A.: Structure of algebras, Amer. Math. Soc., 1939.
Herstein, L.: Noncommutative rings, Math. Assoc. Amer., 1968.
Adams, J.F.: ‘On the non-existence of elements of Hopf invariant one’, Ann. of Math. 72, no. 1 (1960), 20–104.
Schofield, A.H.: Representations of rings over skew fields, London Math. Soc., 1986.
Jacobson, N.: PI algebras. An introduction, Springer, 1975.
Oystaeyen, F. van: Prime spectra in non-commutative algebra, Springer, 1975.
Kummer, E.E.: ‘Ueber die Zerlegung der aus Wurzeln der Einheit gebildeten complexe Zahlen in ihre Primfaktoren’, J. Reine Angew. Math. 35 (1847), 327–367.
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian).
Weil, A.: Introduction à l’étude des variétés kahlériennes, Hermann, 1958.
Cartier, P.: ‘Questions de rationalité des diviseurs en géométrie algébrique’, Bull. Soc. Math. France 86 (1958), 177–251.
Grothendieck, A.: ‘Eléments de géométrie algébrique IV. Etude locale des schémas et des morphismes des schémas’, Publ. Math. IHES, no. 32 (1967).
Mumford, D.: Lectures on curves on an algebraic surface, Princeton Univ. Press, 1966.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Chevalley, C.: Introduction to the theory of algebraic functions of one variable, Amer. Math. Soc., 1951.
Gunning, R.C. and Rossi, H.: Analytic functions of several complex variables, Prentice-Hall, 1965.
Chern, S.S.: Complex manifolds without potential theory, Springer, 1979.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Springer, G.: Introduction to Kiemann surfaces, Addison-Wesley, 1957.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Griffiths, Ph. and Harris, J.: Principles of algebraic geometry, Wiley-lnterscience, 1978.
Wells, R.O., jr.: Differential analysis on complex manifolds, Springer, 1980.
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Samuel, P.: ‘Classes de diviseurs et dérivées logarithmiques’, Topology 3 (1964), 81–96.
FossuM, R.M.: The divisor class group of a Krull domain, Springer, 1973.
Grothendieck, A. and Dieudonné, J.: ‘Eléments de géometry algébrique IV’, Publ. Math. IHES 32 (1967).
Titchmarsh, E.C.: The theory of the Riemann zeta-function, Clarendon, 1951.
Hua, L.-K.: ‘Abschätzungen von Exponentialsummen und ihre Anwendung in der Zahlentheorie’, in Enzyklopaedie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen, Vol. 1, 1959. Heft 13, Teil 1.
Karatsuba, A.A.: ‘Estimates for trigonometric sums by Vinogradov’s method, and some applications’, Proc. Steklov Inst. Math. 112 (1973), 251–265. (Trudy. Mat. Inst. Steklov. 112 (1971), 241-255)
Mardzhanishvili, K.K.: Dokl. Akad. Nauk SSSR 22 (1939), 391–393.
Hooley, C.: ‘An asymptotic formula in the theory of numbers’, Proc. London Math. Soc. (3) 7, no. 27 (1957), 393–413.
Linnik, Yu.V.: ‘All large numbers are sums of a prime and two squares. (A problem of Hardy and Littlewood) II’, Mat. Sb. 53, no. 1 (1961), 3–38 (in Russian).
Linnik, Yu.V.: The dispersion method in binary additive problems, Amer. Math. Soc., 1963 (translated from the Russian).
Lavrik, A.F.: ‘The functional equation for Dirichlet L-functions and the divisor problem in arithmetical progressions’, Izv. Akad. Nauk SSSR Ser. Mat. 30, no. 2 (1966), 433–448 (in Russian).
Vinogradov, A.I. and Linnik, Yu.V.: ‘Estimate of the sum of the number of divisors in a short segment of an arithmetical progression’, Uspekhi Mat. Nauk 12, no. 4 (1957), 277–280 (in Russian).
Vinogradov, A.I.: ‘On the density hypothesis for Dirichlet L-series’, Izv. Akad. Nauk SSSR Ser. Mat. 29, no. 4 (1965), 903–934 (in Russian).
Hooley, C.: ‘On a new technique and its applications to the theory of numbers’, Proc. London Math. Soc. (3) 38 (1979), 115–151.
Chandrasekharan, K.: Arithmetical functions, Springer, 1970, Chapt. VIII.
Waerden, B.L. van der: Algebra, 1-2, Springer, 1967–1971 (translated from the German).
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Seifert, H. and Trelfall, W.: Lehrbuch der Topologie, Chelsea, reprint, 1980.
Hörmander, L.: An introduction to complex analysis in several variables, North-Holland, 1973, Chapt. 2.4.
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T., 1966 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 2, Moscow, 1976 (in Russian).
Hörmander, L.: An introduction to complex analysis in several variables, North-Holland, 1973.
Kleene, S.C.: Mathematical logic, Wiley, 1967.
Chang, C.C. and Keisler, H.J.: Model theory, North-Holland, 1973.
Ershov, Yu.L. and Palyutin, E.A.: Mathematical logic, Moscow, 1987 (in Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
HOrmander, L.: Linear partial differential operators, Springer, 1936.
HOrmander, L.V.: The analysis of linear partial differential operators, 2, Springer, 1983, § 10.4.
Owen, G.: Game theory, Acad. Press, 1982.
Brélot, M.: Eléments de la théorie classique du potential, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
Brelot, M.: On topologies and boundaries in potential theory, Springer, 1971.
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Landau, L.D. and Lifshitz, E.M.: The classical theory of fields, Addison-Wesley, 1951, Chapt. 6 (translated from the Russian).
Frish, S.E. and Timoreva, A.V.: A course in general physics, 1, Moscow, 1962, Chapt. 12 (in Russian).
Whtttaker, E.: A history of the theories of aether and electricity, I Chapt. XII, p. 368; Vol. II Chapt. II, p. 40-42 & Chapt. Ill, p. 92, Harper Torchbooks, 1960.
Rayleigh, J.W.S.: The theory of sound, II, Dover, reprint, 1945, pp. 154-156.
Mumford, D.: Lectures on curves on an algebraic surface, Princeton Univ. Press, 1966.
Fossum, R., Griffith, P.A. and Reiten, I.: Trivial extensions of Abelian categories. Springer, 1975.
Schemas en groupes. I, Springer, 1970.
Lichtenbaum, S. and Schlessinger, M.: ‘The cotangent complex of a morphism’, Trans. Amer. Math. Soc. 128, no. 1 (1967), 41–70.
Demazure, M. and Gabriel, P.: Groupes algébriques, 1, Masson, 1970.
Günter, N.M.: Potential theory and its applications to basic problems of mathematical physics, F. Ungar, New-York, 1967 (translated from the French).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Tichonoff, A.N. [A.N. Tkhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Smirnov, V.I.: A course of higher mathematics, 4, Addison-Wesley, 1964 (translated from the Russian).
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964.
Kral, J.: Integral operators in potential theory, Springer, 1980.
Hall, P.: The theory of groups, MacMillan, 1959.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Schiffer, M. and Spencer, D.C.: Functional of finite Riemann surfaces, Princeton Univ. Press, 1954.
Picard, E.: Traité d’analyse, 2, Gauthier-Villars, 1926.
Ahlfors, L.V. and Sario, L.: Riemann surfaces, Princeton Univ. Press, 1974.
Farkas, H.M. and Kra, L.: Riemann surfaces, Springer, 1980.
Springer, G.: Introduction to Riemann surfaces, Addison-Wesley, 1957.
Markushevich, A.I.: Theory of functions of a complex variable, 3, Chelsea, Chapt. 4 (translated from the Russian).
Hurwitz, A. and Courant, R.: Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen, 2, Springer, 1968.
Whittaker, E.T. and Watson, G.N.: A course of modern analysis, 2, Cambridge Univ. Press, 1952, Chapt. 20.
Akhiezer, N.I.: Elements of the theory of elliptic functions, Moscow, 1970 (in Russian).
Lang, S.: Elliptic functions, Addison-Wesley, 1973.
Dolgachev, I.V. and Iskovskikh, V.A.: ‘Geometry of algebraic varieties’, J. Soviet Math. 5, no. 6 (1976), 803–864. (Itogi Nauk. i Tekhn. Algebra Topol. Geom. 12 (1974), 77-170)
Zariski, O.: Algebraic surfaces, Springer, 1971.
Enriques, F.: Le superficie algebraiche, Bologna, 1949.
Campedelli, L.: ‘Siu piani doppi con curva di diramazione dell’ottavo ordine’, Atti Accad. Naz. Lincei Rend., Ser. 6 15 (1932), 203–208.
Campedelli, L.: ‘Siu piani doppi con curva di diramazione del decimo ordine’, Atti Accad. Naz. Lincei Rend, Ser. 6 15 (1932), 358–362.
Campedelli, L.: ‘Sopra alcuni piani doppi notevoli con curva di diramazione del decimo ordine’, Atti Accad. Naz. Lincei Rend, Ser. 6 15 (1932), 536–542.
Jung, H.W.: ‘Rationale und halbrationale Doppelebene’, J. Reine Angew. Math. 184, no. 4 (1942), 199–237.
Barth, W., Peters, C. and Ven, A, van de: Complex algebraic surfaces, Springer, 1984.
Fulton, W.: Algebraic curves, Benjamin, 1969, p. 66.
Pringsheim, A.: ‘Elementare Theorie der unendlichen Doppelreihen’, Münchener Sitzungsber. der Math. 27 (1897), 101–153.
Pringsheim, A.: ‘Zur Theorie der zweifach unendlichen Zahlenfolgen’, Math. Ann. 53 (1900), 289–321.
Pringsheim, A.: Vorlesungen über Zahlen-und Funktionenlehre, 2, Teubner, 1932.
Bromwich, T.J.: An introduction to the theory of infinite series, Macmillan, 1947.
Salekhov, G.S.: Computation of series, Moscow, 1955 (in Russian).
Whittaker, E.T. and Watson, G.N.: A course of modern analysis, Cambridge Univ. Press, 1952.
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Krylov, V.I., Bobkov, V.V. and Monastyrnyĭ, P.I.: Numerical methods, 2, Moscow, 1977 (in Russian).
Marchuk, G.I.: Methods of numerical mathematics, Springer, 1982 (translated from the Russian).
Samarskii, A.A. and Nkolaev, E.S.: Methods for solving difference equations, Moscow, 1978 (in Russian).
Roberts, S.M. and Shipman, J.S.: Two point boundary value problems: shooting methods, American Elsevier, 1972.
Ascher, U.M., Mattheu, R.M.M. and Russel, R.D.: Numerical solution of boundary value problems for ordinary differential equations, Prentice-Hall, 1988.
Neumann, J. von: ‘Zur Theorie der Gesellschaftsspiele’, Math. Ann 100 (1928), 295–320.
Karlin, S.: Mathematical methods and theory in games, programming and economics, Addison-Wesley, 1959.
Thompson, G.L.: ‘Signaling strategies in n-person games’, in Contributions to the theory of games, Vol. 2, Princeton Univ. Press, 1953, pp. 267–277.
Bogolyubov, N.N. and Mitropol’skiĭ, Yu.A.: Asymptotic methods in the theory of non-linear oscillations, Hindushtan Publ. Comp., Delhi, 1961 (translated from the Russian).
Sivukhin, D.V.: Problems in the theory of plasma, Vol. 1, Moscow, 1963, pp. 7–97 (in Russian).
Morozov, A.I. and Solov’ev, L.S.: Problems in the theory of plasma, Vol. 2, Moscow, 1963, pp. 177–261 (in Russian).
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964, p. 324.
Bois-Reymond, P. du: ‘Erläuterungen zu der Anfangsgründen der Variationsrechnung’, Math. Ann. 15 (1879), 283–314.
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Alexéev, V. [V.B. Alekseev], Tkhomirov, V. and Fomine, S. [S.V. Fomin]: Commande optimale, Mir, 1982 (translated from the Russian).
Bois-Raymond, P. du: Abk Akad. Wiss. Berlin Math.-Phys. Kl. 12, no. 1 (1876), 117–166.
Cantor, G.: ‘Ueber die Ausdehnung eines Satzes aus der Theorie der trigonometrische Reihen’, Math. Ann. 5 (1872), 123–132.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1979.
Vinogradova, I.A. and Skvortsov, V.A.: ‘Generalized Fourier integrals and series’, J. Soviet Math. 1, no. 6 (1973), 677–703. (Itogi Nauk. Mat. Anal. 1970 (1971), 65-107)
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Davie, A.M.: ‘A counterexample on dual Banach algebras’, Bull London Math. Soc. 5, no. 1 (1973), 79–80.
Cohn, P.M.: Algebra, 1, Wiley, 1982.
Rockafellar, R.T.: Conjugate duality and optimization, Reg. Conf. Ser. Appl. Math., SIAM, 1974.
Neveu, I.: Martingales à temps discret, Masson, 1972.
Dellacherie, C. and Meyer, P.A.: Probabilities and potential, 2. Theory of martingales, North-Holland, 1982 (translated from the French).
Zaanen, A.C.: Linear analysis, North-Holland, 1956.
Grothendieck, A.: ‘The cohomology theory of abstract algebraic varieties’, in Proc. Internat, congress mathematicians Edinburgh 1958, Cambridge Univ. Press, 1960, pp. 103-118.
Dolgachev, I.V.: ‘Abstract algebraic geometry’, J. Soviet Math. 2, no. 3 (1974), 264–303. (Itogi Nauk. i Tekhn. Algebra. Topol Geom. 10 (1972), 47-112)
Serre, J.-P.: ‘Faisceaux algébriques cohérents’, Ann. of Math. 61 (1955), 197–258.
Hartshorne, R.: Residues and duality, Springer, 1966.
Artin, M., Grothendiek, A. and Verdier, J.-L. (eds.): ‘Théorie des topos et cohomologie étale des schémas’, in Sem. Géom. Alg, Vol. 3, Springer, 1973.
Verdier, J.L.: ‘A duality theorem in the etale cohomology of schemes’, in Proc. Conf. on local fields, Springer, 1967, pp. 184-198.
Berthelot, P.: Cohomologie cristalline des schémas de caractéristique p>0, Springer, 1974.
Hartshorne, R.: Ample subvarieties of algebraic varieties, Springer, 1970.
Mazur, B.: ‘Local flat duality’, Amer. J. Math. 92 (1970), 343–361.
Altman, A. and Kleiman, S.: Introduction to Grothendieck duality theory, Springer, 1970.
Milne, J.: Arithmetic duality theorems, Acad. Press, 1987.
Pontryagin, L.S.: ‘Topological duality theorems’, Uspekhi Mat Nauk 2, no. 2 (1947), 21–44 (in Russian).
Aleksandrov, P.S.: ‘On homological positioning properties of complexes and closed sets’, Izv. Akad. Nauk SSSR Ser. Mat. 6 (1942), 227–282 (in Russian).
Aleksandrov, P.S.: ‘Fundamental duality theorems for non-closed sets’, Mat Sb. 21, no. 2 (1947), 161–232 (in Russian).
Aleksandrov, P.S.: ‘Topological duality theorems I’, Transi Amer. Math. Soc. (2) 30 (1963), 1–102. (Trudy Mat Inst Steklov. 48 (1955), 1-108)
Aleksandrov, P.S.: ‘Topological duality theorems II’, Transl. Amer. Math. Soc. (2) 30 (1963), 103–233. (Trudy Mat Inst Steklov. 54 (1959), 1-136)
Chogoshvili, G.S.: ‘The duality theorem for retracts’, Dokl. Akad Nauk SSSR 51, no. 2 (1946), 87–90 (in Russian).
Chogoshvili, G.S.: ‘On homology theory for non-closed sets’, in General topology and its relation to modern analysis and algebra. Proc. Symp. Prague, Acad. Press, 1961, pp. 123-132.
Chogoshvili, G.S.: ‘Generalized products and limits and their application in homology theory’, Uspekhi Mat Nauk 21, no. 4 (1966), 23–34 (in Russian).
Kaplan, S.: ‘Homology properties of arbitrary subsets of Euclidean spaces’, Trans. Amer. Math. Soc. 62 (1947), 248–271.
Sitnikov, K.A.: ‘Combinatorial topology of non-closed sets I’, Transl. Amer. Math. Soc. (2) 15 (1960), 245–295. (Mat Sb. 34 (1954), 3-54)
Sitnikov, K.A.: ‘Combinatorial topology of non-closed sets II’, Transl. Amer. Math. Soc. (2) 15 (1960), 297–343. (Mat Sb. 37 (1955), 385-434)
Sitnikov, K.A.: ‘Combinatorial topology of non-closed sets III’, Mat. Sb. 48 (1959), 213–226 (in Russian).
Berikashvili, N.A.: ‘On the axiomatic theory of spectra and duality laws for arbitrary sets’, Trudy Tbil. Mat Inst 24 (1957), 409–484 (in Russian).
Baladze, D.S.: ‘Steenrod’s generalized homology theory’, Trudy Tbil Mat. Inst 41 (1972), 41–83 (in Russian).
Bourgin, D.: Modern algebraic topology, Macmillan, 1963.
Spanier, E.: Algebraic topology, McGraw-Hill, 1966.
Swrtzer, R.M.: Algebraic topology, homotopy and homology, Springer, 1975.
Sklyarenko, E.G.: ‘On the theory of generalized manifolds’, Math. USSR Izv. 5, no. 4–6 (1971), 845–858. (Izv. Akad. Nauk SSSR. Ser. Mat. 35, no. 4 (1971), 831-843)
Borel, A. and Moore, J.C.: ‘Homology theory for locally compact spaces’, Mich. Math. J. 7 (1960), 137–160.
Bredon, G.: Sheaf theory, McGraw-Hill, 1967.
Serre, J.-P.: ‘Une théorème de dualité’, Comm. Math. Heb. 29 (1955), 9–26.
Malgrange, B.:’ systèmes différentiels à coefficients constants’, in Sem. Bourbaki, Vol. 246, Benjamin, 1962–1963.
Banica, C. and Stanasila, O.: Metode algebrice in teoria globala a spatiilor complexe, Ed. Acad. Republ. Soc. Romania, 1974.
Ramis, J.P. and Ruget, G.: ‘Complex dualisantet théorèmes de dualité en géométrie algébrique complexe’, Publ. Math. IHES 38 (1970), 77–91.
Ramis, J.P. and Ruget, G.: ‘Résidus et dualité’, Invent. Math. 26, no. 2 (1974), 89–131.
Golovin, V.D.: ‘On spaces of local cohomologies of complex analytic manifolds’, Funct. Anal. Appl. 5, no. 4 (1971), 320–322. (Funktsional. Anal. Prilozhen. 5, no. 4 (1971), 66)
Golovin, V.D.: ‘Alexander-Pontryagin duality in complex analysis’, 13, no. 4 (1973), 339–341, Math. Notes. (Mat. Zam. 13, no. 4 (1973), 561-564)
Grothendieck, A.: ‘Sur certains espaces de fonctions holomorphes’, J. Reine Agew. Math. 192 (1953), 35–64.
Markushevitch, A.I.: Selected chapters on the theory of analytic functions, Moscow, 1976 (in Russian).
Khavin, V.P.:’ spaces of analytic functions’, Itogi Nauk. Mat. Anal. 1964 (1966), 76-164 (in Russian).
Itogi Nauk. Mat. Anal. 1967 (1969), 75-132.
Itogi Nauk. Mat. Anal. 1963 (1965), 5-80.
Markushevuch, A.I. (ed): Fonctions d’une variable complexe. Problème contemporains, Gauthier-Villars, 1962 (translated from the Russian).
Khavinson, S.Ya.: Two papers on extremal problems in complex analysis’, Transl. Amer. Math. Soc. (2) 129 (1986).
Bourbaki, N.: Elements of mathematics. Topological vector spaces, Addison-Wesley, 1977 (translated from the French).
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Dunford, N. and Schwartz, J.T.: Linear operators, 1-3, Interscience, 1958–1971.
Day, M.M.: Normed linear spaces, Springer, 1958.
Ioffe, A.D. and Tikhomirov, V.M.: Theory of extremal problems, North-Holland, 1979 (translated from the Russian).
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
Khavin, V.P.:’ spaces of analytic functions’, Itogi Nauk. Mat. Anal. 1964 (1966), 76-164 (in Russian).
Khavinson, S.Ya.: ‘Extremal problems for bounded analytic functions with interior side conditions’, Russian Math. Surveys 18 (1963), 23–96. (Uspekhi Mat. Nauk 18, no. 2 (1963), 25-98)
Diestel, J.: Geometry of Banach spaces-selected topics, Springer, 1975.
Minkowski, H.: Geometrie der Zahlen, Chelsea, reprint, 1953.
Minkowski, H.: Gesammelte Abhandlungen, Vol. 1-2, Teubner, 1911.
Fenchel, W.: ‘On conjugate convex functions’, Canad J. Math. 1 (1949), 73–77.
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
Ekeland, I. and Teman, R.: Analyse convexe et problèmes variationneb, Dunod, 1974.
Ioffe, A.D. and Tikhomirov, V.M.: Theory of extremal problems, North-Holland, 1979 (translated from the Russian).
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Huppert, B.: Endliche Gruppen, 1, Springer, 1979, pp. 482-490.
Novkov, P.S.: Elements of mathematical logic, Addison-Wesley, 1964 (translated from the Russian).
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Artin, E.: Geometric algebra, Interscience, 1957.
Pedoe, D.: A course of geometry, Cambridge Univ. Press, 1970.
Berger, M.: Geometry, Ml, Springer, 1987.
Veblen, O. and Young, J.W.: Projective geometry, Ginn, 1938.
Karlin, S.: Mathematical methods in the theory of games, programming and economics, Addison-Wesley, 1959.
Duffing, G.: Erzwungene Schwingungen bei veränderlicher Eigenfrequenz und ihre technische Bedeutung, Vieweg, 1918.
Stoker, J.J.: Nonlinear vibrations in mechanical and electrical systems, Interscience, 1950.
Hayashi, G.: Nonlinear oscillations in physical systems, McGraw-Hill, 1964.
Guckenheimer, J. and Holmes, Ph.: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Springer, 1983.
Tichonoff, A.N. [A.N. Tĭkhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
John, F.: Planar waves and spherical means as applied to partial differential equations, Interscience, 1955.
Carslaw, H.S. and Jaeger, J.C.: Conduction of heat in solids, Clarendon Press, 1959.
Dupin, Ch.: Développements de géométrie, Paris, 1813.
Klein, F.: Vorlesungen über höhere Geometrie, Springer, 1926.
Hilbert, D. and Cohn-Vossen, S.E.: Anschauliche Geometrie, Springer, 1932.
Cecil, T.E. and Ryan, P.J.: Tight and taut immersions of manifolds, Pitman, 1985.
Berger, M.: Geometry, 2, Springer, 1987.
Berger, M. and Gostiaux, Bz. Differential geometry, Springer, 1988.
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Kagan, V.F.: Foundations of the theory of surfaces in a tensor setting, 2, Moscow-Leningrad, 1948 (in Russian).
Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988.
Coxter, H.S.M.: Introduction to geometry, Wiley, 1961.
Hsiung, C.C.: A first course in differential geometry, Wiley, 1981.
Dupin, Ch.: Développements de géométrie, Paris, 1813.
Kagan, V.F.: Foundations of the theory of surfaces in a tensor setting, 1, Moscow-Leningrad, 1947 (in Russian).
Hsiung, C.C.: A first course in differential geometry, Wiley, 1981.
Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1961.
Laugwitz, D.: Differentialgeometrie, Teubner, 1960.
Blasckle, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Encyclopaedia of elementary mathematics, Vol. 4. Geometry, 1963, pp. 205-227 (in Russian).
Stewart, I.: Galois theory, Chapman & Hall, 1973, Chapt. 5.
Kramer, E.E.: The nature and growth of modern mathematics, Princeton Univ. Press, 1982.
Dubnov, Ya.S.: Fundamentals of vector calculus, 1-2, Moscow-Leningrad, 1950-1952 (in Russian).
Lagally, M.: Vorlesungen über Vektor-rechnung, Becker & Erler, 1944.
Chapman, S. and Cowling, T.G.: The mathematical theory of non-uniform gases, Cambridge Univ. Press, 1939.
Spiegel, M.R.: Vector analysis and an introduction to tensor analysis, McGraw-Hill, 1959.
Engelking, R.: General topology, PWN, 1977.
Kelley, J.L.: General topology, Springer, 1975.
Efimov, B.A.: ‘Dyadic bicompacta’, Trans. Moscow Math. Soc. 14 (1965), 229–267. (Trudy Moskov. Mat. Obshch. 14 (1965)
Ponomarev, V.I.: ‘On dyadic spaces’, Fund. Math. 52, no. 3 (1963), 351–354 (in Russian).
Efimov, B.A.: ‘On dyadic spaces’, Soviet Math. Dokl. 4 (1963), 1131–1134. (Dokl. Akad. Nauk SSSR 151, no. 5 (1963), 1021-1024.
Vorob’ev, N.N.: ‘The present state of the theory of games’, Russian Math. Surveys 25, no. 2 (1970), 77–136. (Uspekhi Mat. Nauk 25, no. 2 (1970), 81-140)
Frank, F. and Mises, R. von: Die Differential und Integralgleichungen der Mechanik und Physik, 2, Rosenberg, 1943, Chapt. 12.
Ogurtsov, K.I. and Petrashen’, G.I.: Uchen. Zap. Leningrad Gos. Univ. Ser. Mat. Nauk 4, no. 149 (1951), 3–249.
Babich, V.M., Kapilewich, M.P. [M.P. Kapilevich] and Mikhlin, S.G.: Lineare Differentialgleichungen der mathematischen Physik, Akademie Verlag, 1967, Chapts. 1-2 (translated from the Russian).
Ladyzhenskaya, O.A.: A mixed problem for a hyperbolic equation, Moscow, 1953 (in Russian).
Il’in, V.A.: ‘The solvability of mixed problems for hyperbolic and parabolic equations’, Russian Math. Surveys 15, no. 2 (1960), 85–142. (Uspekhi Mat. Nauk 15, no. 2 (1960), 97-154)
Kupradze, V.D., et al.: Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity, North-Holland, 1979 (translated from the Russian).
Petrashen’, G.I.: ‘On a rational method of solving problems in the dynamical theory of elasticity in the case of isotropic layers with plane-parallel boundaries of separation’, Uchen. Zap. Leningrad Gos. Univ. 30, no. 208 (1956), 5–57 (in Russian).
Alekseev, A.S., Babich, V.M. and Gel’chinskii, B.Ya.: Problems in the dynamic theory of propagation of seismic waves, 5, Leningrad, 1961, pp. 3-24 (in Russian).
Babich, V.M.: ‘Propagation of Rayleigh waves along the surface of a homogeneous elastic body of arbitrary shape’, Dokl. Akad. Nauk SSSR 137, no. 6 (1961), 1263–1266 (in Russian).
Babich, V.M. and Molotkov, I.A.: Izv. Akad. Nauk SSSR. Fizika Zemli 6 (1966), 34–38.
Mukhina, I.V. and Molotkov, I.A.: Izv. Akad. Nauk SSSR. Fizika Zemli 4 (1967), 3–8.
Svolinskiĭ, N.V.: Izv. Akad. Nauk SSSR. Ser. Geofiz. 10 (1957), 1201–1218.
Svolinskiĭ, N.V.: Izv. Akad. Nauk SSSR Ser. Geofiz. 1 (1958), 3–16.
Svolinskiĭ, N.V.: Izv. Akad. Nauk SSSR. Ser. Geofiz. 2 (1958), 165–174.
Itogi Nauk. i Tekhn. Mekh. Tverd Deform. Tel 10 (1977), 5-62.
Eringen, A.C. and Suhubi, E.S.: Elastodynamics, 1-2, Acad. Press, 1974–1975.
Bellman, R.: Dynamic programming, Princeton Univ. Press, 1957.
Boltyanskiĭ, V.G.: Mathematical methods of optimal control, Holt, Rinehart & Winston, 1971 (translated from the Russian).
Hadley, G.: Nonlinear and dynamic programming, Addison-Wesley, 1964.
Hadley, G. and Whitin, T.: Analysis of inventory systems, Prentice-Hall, 1963.
Howard, R.A.: Dynamic programming and Markov processes, MIT, 1960.
Bryson, A.E. and Ho, Y.-C.: Applied optimal control, Ginn & Co., 1969.
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic optimal control, Springer, 1975.
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955, Chapts. 13-17.
Lefschetz, S.: Differential equations: geometric theory, Interscience, 1957.
Halmos, P.R.: Lectures on ergodic theory, Math. Soc. of Japan, 1956.
Rokhlin, V.A.: ‘Lectures on the entropy theory of measurepreserving transformations’, Russian Math. Surveys 22, no. 5 (1967), 1–52. (Uspekhi Mat. Nauk 22, no. 5 (1967), 3-57)
Kushnirenkov, A.G.: ‘On metric invariants of entropy type’, Russian Math. Surveys 22, no. 5 (1967), 53–61. (Uspekhi Mat. Nauk 22, no. 5 (1967), 58-66)
Kirillov, A.A.: ‘Dynamical systems, factors and representations of groups’, Russian Math. Surveys 22, no. 5 (1967), 63–75. (Uspekhi Mat. Nauk 22, no. 5 (1967), 67-80)
Katok, A.B. and Stepin, A.M.: ‘Approximations in ergodic theory’, Russian Math. Surveys 22, no. 5 (1967), 77–102. (Uspekhi Mat. Nauk 22, no. 5 (1967), 81-106)
Anosov, D.V. and Sinai, Ya. G.: ‘Some smooth ergodic systems’, Russian Math. Surveys 22, no. 5 (1967), 103–167. (Uspekhi Mat. Nauk 22, no. 5 (1967), 107-172)
Gottschalk, W.H. and Hedlund, G.A.: Topological dynamics, Amer. Math. Soc., 1955.
Arnold, V.I. and Avez, A.: Ergodic problems of classical mechanics, Benjamin, 1968 (translated from the Russian).
Smale, S.: ‘Differentiable dynamical systems’, Bull. Amer. Math. Soc. 88 (1966), 741–817.
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Nitecki, Z.: Differentiable dynamics. An introduction to the orbit structure of diffeomorphisms, M.I.T., 1971.
Sibirskii, K.S.: Introduction to topological dynamics, Noordhoff, 1975 (translated from the Russian).
Sinai, Ya.G.: Introduction to ergodic theory, Princeton Univ. Press, 1976.
Bronshteĭn, N.U.: Extensions of minimal transformation groups, Sythoff & Noordhoff, 1979 (translated from the Russian).
Ellis, R.: Lectures on topological dynamics, Benjamin, 1969.
Veech, W.A.: ‘Topological dynamics’, Bull Amer. Math. Soc. 83 (1977), 775–830.
Dynamical systems, I-V, Encyclopaedia of Math. Sciences, Springer, 1987–1988.
Conley, Ch.: Isolated invariant sets and the Morse index, Amer. Math. Soc., 1978.
Hirsch, M.W.: ‘The dynamical systems approach to differential equations’, Bull. Amer. Math. Soc. 11 (1984), 1–64.
Abraham, R. and Marsden, J.: Foundations of mechanics, Benjamin Cummings, 1978.
Cornfeld, I. [I. Kornfel’d], Fomin, S. and Sinaĭ, Ya.: Ergodic theory, Springer, 1982 (translated from the Russian).
Galileo, G.: Unterredungen und mathematische Demonstration über zwei neue Wissenschaftszweige, die Mechanik und die Fallgesetze betreffend, 1-2, Engelmann, 1891. Translated from the Italian and the Latin.
Galileo, G.: Discours on the two most important world systems-Ptolemaic and Copernican, Moscow-Leningrad, 1948 (in Russian; translated from the Italian).
Newton, I.: Mathematische Prinzipien der Naturlehre, Springer, 1872 (translated from the English).
Euler, L.: Principles of point dynamics, Moscow-Leningrad, 1938 (in Russian; translated from the Latin).
d’Alembert, J.: Abhandlung über die Dynamik, Ostwald Klassiker, 106 (translated from the French).
Lagrange, J.: Mécanique analytique, 1-2, Paris, 1788.
Jacobi, C.G.J.: Vorlesungen über Dynamik, G. Reimer, 1884.
Hamilton, W.: ‘On a general method in dynamics...’, in Variational principles of mechanics, Moscow, 1959 (in Russian; translated from the English).
Hertz, H.: ‘Prinzipien der Mechanik’, in Gesammelte Werke, Vol. 3, J. Barh, 1894.
Ostrogradski, M.V.: ‘Lectures on analytical mechanics’, in Complete works, Vol. 2, Kiev, 1961 (in Russian).
Zhukovskiĭ, N.E.: Theoretical mechanics, Moscow-Leningrad, 1952 (in Russian).
Chaplygin, S.A.: ‘A course of lectures on theoretical dynamics’, in Collected works, Vol. 4, Moscow-Leningrad, 1949 (in Russian).
Chetaev, N.G.: Stability of motion. Studies in analytical mechanics, Moscow, 1962 (in Russian).
Whittaker, E.T.: Analytical dynamics of particles and rigid bodies, Dover, reprint, 1944.
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Sudarshan, E.C.G. and Mukunda, N.: Classical dynamics: a modem perspective, Wiley (Interscience), 1974.
Lykov, A.V. and Mikhaĭlov, Yu.A.: The theory of heat and mass transfer, Moscow-Leningrad, 1963 (in Russian).
Groot, S. de and Mazur, P.: Non-equilibrium thermodynamics, Moscow, 1968 (in Russian; translated from the English).
Lykov, A.V.: The theory of drying, Moscow, 1968 (in Russian).
Frank-Kamenetskiĭ, D.A.: Diffusion and heat transfer in chemical kinematics, Moscow, 1967 (in Russian).
Tichonoff, A.N. [A.N. Tikhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Aris, R.: The mathematical theory of diffusion and reaction in permeable catalysts, Oxford Univ. Press, 1975.
Jacob, M.: Heat transfer, I-II, Wiley, 1955.
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El’kin, A.G. et al. (1995). D. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3795-7_2
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