Abstract
A group which has a normal series such that the order of every factor contains at most one prime from π (π is a set of prime numbers). The class of π-separable groups contains the class of π-solvable groups (cf. π-solvable group). For finite π-separable groups, the π-Sylow properties (cf. Sylow theorems) have been shown to hold (see [1]). In fact, for any set π1⊆π, a finite π-separable group G contains a π1-Hall subgroup (cf. also Hall subgroup), and any two π1-Hall subgroups are conjugate in G. Any π1 -subgroup of a π-separable group G is contained in some π1-Hall subgroup of G (see [2]).
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References
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Conway, J.H. and Sloane, N.J.A.: Sphere packings, lattices and groups, Springer, 1988.
Grünbaum, B.: Convex polytopes, Wiley, 1967.
Kramer, P. and Neri, R.: ‘On periodic and non-periodic space fillings of E m obtained by projection’, Acta Cryst. A40 (1984), 580–587.
Shirokov, P.A.: Tensor calculus. Tensor algebra, Kazan’, 1961 (in Russian).
Beklemishev, D.V.: A course of analytical geometry and linear algebra, Moscow, 1971 (in Russian).
Pisot, C. and Zamansky, M.: Mathématiques générales: algèbre-analyse, Dunod, 1966.
Gruber, P.M. and Lekkerkerker, CG.: Geometry of numbers, North-Holland, 1987.
Grünbaum, B.: Convex polytopes, Wiley, 1967.
Vladimirov, V.S.: Equations of mathematical physics, Mir, 1984 (translated from the Russian).
Il’in, V.A. and Poznyak, E.G.: Fundamentals of mathematical analysis, 2, Mir, 1982 (translated from the Russian).
Kudryavtsev, L.D.: Mathematical analysis, 2, Moscow, 1970 (in Russian).
Nikol’skiĭ, S.M.: A course of mathematical analysis, 2, Mir, 1977 (translated from the Russian).
Tichonoff, A.N. [A.N. Tikhinov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Poincaré, H.: New methods of celestial mechanics, 1-3, Nat. Aeronautics and Space Adm. USA, 1967 (translated from the French).
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian).
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).
Golubev, V.V.: Vorlesungen über Differentialgleichungen im Komplexen, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Erugin, N.P.: ‘The analytic theory and problems of the real theory of differential equations with the first method and with methods of the analytic theory’, Differential Equations N. Y. 3, no. 11 (1967), 943–966. (Differentsial’nye Uravneniya 3, no. 11 (1967), 1821-1863)
Davidenko, D.F.: ‘On a new numerical solution method for systems of nonlinear equations’, Dokl Akad. Nauk SSSR 88, no. 4 (1953), 601–602 (in Russian).
Davidenko, D.F.: ‘Application of the method of variation of parameters to the theory of nonlinear functional equations’, Ukrain Mat. Zh. 7 (1955), 18–28 (in Russian).
Gavurin, M.K.: ‘Nonlinear functional equations and continuous analogues of iteration methods’, Izv. Vuz. Mat. 5 (1958), 18–31 (in Russian).
Polyak, B.T.: ‘Gradient methods for solving equations and inequalities’, Zh. Vychisl. Mat. i Mat. Fiz. 4, no. 6 (1964), 995–1005 (in Russian).
Davidenko, D.F.: ‘An application of the method of variation of parameters to the construction of iterative formulas of increased accuracy for numerical solutions of nonlinear integral equations’, Soviet Math. Dokl. 6, no. 3 (1965), 702–706. (Dokl. Akad. Nauk SSSR 162, no. 3 (1965), 499-502)
Mikhlin, S.G.: Numerical realization of variational methods, Moscow, 1966 (in Russian).
Kleinmichel, H.: ‘Stetige Analoga und Iterationsverfahren für Gleichungen in Banachräume’, Math. Nachr. 37, no. 5-6 (1968), 313–343.
Krasnosel’skiĭ, M.A., et al.: Approximate solution of operator equations, Moscow, 1969 (in Russian).
Lira, D.K. and Shafiev, R.A.: ‘Continuous analogues of certain iteration methods for solving equations’, Izv. Akad. Nauk MoldavSSR Ser. Fiz-Tekhn. i Mat. Nauk 2 (1970), 13–18 (in Russian).
Zhidkov, E.P., et al.: Fizika Element. Chast. i Atomn. Yadra 4, no. 1 (1973), 127–166.
Davidenko, D.F.: ‘The iteration method of parameter variation for the inversion of linear operations’, Zh. Vychisl. Mat. i Mat. Fiz. 15, no. 1 (1975), 30–47, 274 (in Russian).
Ortega, J. and Reinboldt, W.: Iteration methods for the solution of non-linear systems of equations in many unknowns, Acad. Press, 1970.
Keller, H.: Methods of numerical and applied mathematics, Vol. 2, Novosibirsk, 1977, pp. 6-36 (in Russian).
Davidenko, D.F.: Mathematical programming and related problems. Computational methods, Moscow, 1976, pp. 187-212 (in Russian).
Kolyada, Yu.V. and Sigorskiĭ, V.P.: Kibernetika, no. 3 (1980), 24-28.
Ulrich, K.: State of the art in numerical methods for continuation and bifurcation problems with applications in continuum mechanics. A survey and comparative study, Preprint Lab. Nac. Comp. Cien., Rio de Janeiro, Brazil, 1990.
Allgower, E.L. and Georg, K.: Continuation methods for numerically solving systems of equations, Springer, 1987.
Struik, DJ.: Lectures on classical differential geometry, Dover, reprint, 1988.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc, 1969 (translated from the Russian).
Kreĭn, M.G.: ‘The ideas of P.L. Chebyshev and A.A. Markov in the theory of limiting values of integrals, and their further development’, Uspekhi Mat. Nauk 6, no. 4 (1951), 3–120 (in Russian).
Lebedev, N.A. and Aleksandrov, I.A.: ‘On the variational method in classes of functions representable by means of Stieltjes integrals’, Proc. Steklov Inst. Math. 94 (1968), 91–103. (Trudy Mat. Inst. Steklov. 94 (1968), 79-89)
Goluzina, E.G.: ‘The value domains of the coefficient systems of a certain class of functions meromorphic in a disk’, Proc. Steklov Inst. Math. 94 (1968), 37–52. (Trudy Mat. Inst. Steklov. 94 (1968), 33-46)
Goluzina, E.G.: ‘On domains of values of systems of functionals in some classes of functions, representable by a Stieltjes integral’, J. Soviet Math. 2, no. 6 (1974), 582–605. (Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. 24 (1972), 29-62)
Goluzina, E.G.: ‘Ranges of values of systems of coefficients in the class of functions with positive real part in an annulus’, J. Soviet Math. 8, no. 6 (1977), 642–661. (Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. 44 (1972), 17-40)
Goluzina, E.G.: ‘Ranges of certain systems of functional in classes of functions with a positive real part’, J. Soviet Math. 19, no. 6 (1982), 1630–1636. (Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. 100 (1980), 17-25).
Düren, P.L.: Univalent functions, Springer, 1983.
Bank, B., Guddat, J., Kxatte, D., Kummer, B. and Tammer, K.: Nonlinear parametric optimization, Birkhäuser, 1983.
Nozicka, F., Guddat, J. and Hollatz, H.: Theorie der linearen parametrischen Optimierung, Akad. Verlag, 1974.
Dinkelbach, W.: Sensitivätsanalysen und parametrische Programmierung, Springer, 1969.
Zionts, S.: Linear and integer programming, Prentice Hall, 1974.
Geoffrion, A.M.: ‘Strictly concave parametric programming I, II’, Management Science 13 (1966/67), 244–253; 359-370.
Apostol, T.M.: Calculus, Blaisdell, 1967.
Aleksandrov, I.A.: Parametric representations in the theory of univalent functions, Moscow, 1976 (in Russian).
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc, 1969 (translated from the Russian).
Aleksandrov, I.A. and Sorokin, A.S.: ‘The problem of Schwarz for multiply connected circular domains’, Sib. Math. J. 13, no. 5 (1972), 671–692. (Sibirsk. Mat. Zh. 13, no. 5 (1972), 971-1000)
Hadamard, J.: ‘Mémoire sur le problème d’analyse relatif à l’équilibre des plaques élastiques encastrées’, in Oeuvres, Vol. 2, CNRS, 1968, pp. 515-642.
Hadamard, J.: Leçons sur le calcul des variations, 1, Hermann, 1910.
Bellma, R. and Angel, E.: Dynamic programming and partial differential equations, Acad. Press, 1972.
Popov, V.I.: ‘Quantization of control systems’, Soviet Math. Dokl 13, no. 6 (1972), 1668–1672. (Dokl. Akad. Nauk. SSSR 207, no. 5 (1972), 1048-1050)
Kufarev, P.P.: ‘On one-parameter families of analytic functions’, Mat. Sb. 13, no. 1 (1943), 87–118 (in Russian). English abstract.
Düren, P.L.: Univalent functions, Springer, 1983.
Kreĭn, M.G.: ‘Foundations of the theory of λ-zones of stability of a canonical system of linear differential equations with periodic coefficients’, Transl. Amer. Math. Soc. (2) 120 (1983), 1–70. (In memoriam: A.A. Andronov (1955), 413-498)
Yakubovich, V.A.: ‘On the dynamic stability of elastic systems’, Dokl. Akad Nauk SSSR 121, no. 4 (1958), 602–605 (in Russian).
Yakubovich, V.A.: ‘Regions of dynamic instability of Hamil-tonian systems’, Metody Vychisl 3 (1966), 51–69 (in Russian).
Yakubovich, V.A. and Starzhinskii, V.M.: Linear differential equations with periodic coefficients, 1-2, Wiley, 1975 (translated from the Russian).
Malkin, I.G.: Some problems in the theory of non-linear oscillations, Moscow, 1956 (in Russian).
Starzhinskii, V.M.: Inzh. Zh. Mekh. Tverd Tela 3 (1967), 174–180.
Fimin, V.N.: Mathematical theory of parameter resonance in linear distributed systems, Leningrad, 1972 (in Russian).
Schmidt, G.: Parametererregte Schwingungen, Deutsch. Verlag Wissenschaft., 1975.
Yakubovich, V.A. and Starzhinskii, V.M.: Parameter resonance in linear systems, Moscow, 1987 (in Russian).
Arnold, V.I. and Avez, A.: Problèmes ergodiques de la mécanique classique, Gauthier-Villars, 1967, § 20.5; Append. 29 (translated from the Russian).
Bers, L., John, F. and Schechter, M.: Partial differential equations, Interscience, 1964.
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Hörmander, L.: Pseudo-differential operators, Moscow, 1967 (in Russian; translated from the English).
Levi, E.E.:’ sulle equazioni lineari alle derivate parziali totalmente ellittiche’, Rend. R. Acc. Lincei, Classe Sci. (V) 16 (1907).
Levi, E.E.: ‘Sulle equazioni lineari totalmente ellittiche alle derivate parziali’, Rend. Circ. Mat. Palermo 24 (1907), 275–317.
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964.
Hörmander, L.: The analysis of linear partial differential operators, 1-4, Springer, 1983–1985, Chapts. 7; 18.
Cramer, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Johnson, N.L. and Kotz, S.: Distributions in statistics: continuous univariate distributions, Houghton Mifflin, 1970.
Davis, H.T.: Elements of statistics with application to economic data, Amer. Math. Soc, 1972.
Steklov, V.A.: ‘Sur certaines égalités générales communes à plusieurs séries de fonctions souvent employées dans l’analyse’, Zap. Nauchn. Fiz.-Mat. Obshch. Ser. 8 157 (1904), 1–32.
Nikol’skiĭ, S.M.: A course of mathematical analysis, 2, Mir, 1977 (translated from the Russian).
Il’in, V.A. and Poznyak, E.G.: Fundamentals of mathematical analysis, 2, Mir, 1982 (translated from the Russian).
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.
Kirillov, A.A. and Gvishiani, A.D.: Theorems and problems in functional analysis, Springer, 1982 (translated from the Russian).
Hewitt, E. and Stromberg, K.: Real and abstract analysis, Springer, 1965.
Cramer, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 2. Inference and relationship, Griffin, 1979.
Muirhead, R.J.: Aspects of multivariate statistical theory, Wiley, 1982.
Kuranishi, M.: ‘On E. Cartan’s prolongation theorem of exterior differential systems’, Amer. J. Math. 79 (1957), 1–47.
Kuranishi, M.: Lectures on involutive systems of partial differential equations, Soc. Mat. São Paulo, 1967.
Singer, I.M. and Sternberg, S.: The infinite groups of Lie and Cartan I. The transitive groups’, J. d’Anal. Math. 15 (1965), 1–114.
Matsuda, M.: ‘Cartan-Kuranishi’s prolongation of differential systems combined with that of Lagrange-Jacobi’, Publ. Math. RIMS 3 (1967), 69–84.
Hirsch, M.W.: Differential topology, Springer, 1976, Sect. 2.4.
Bose, R.C.: ‘Strongly regular graphs, partial geometries and partially balanced designs’, Pacific J. Math. 13, no. 2 (1963), 389–419.
Thas, J.A.: ‘Combinatorics of partial geometries and generalized quadrangles’, in M. Aigner (ed.): Higher Combinatorics, Reidel, 1977, pp. 183-199.
Thas, J.A.: ‘Construction of maximal arcs and partial geometries’, Geometrica Dedicata 3, no. 1 (1974), 61–64.
Clerck, F. de, Dye, R.H. and Thas, J.A.: ‘An infinite class of partial geometries associated with the hyperbolic quadric in PG(4n-1, 2)’, Europ. J. Comb. 1 (1980), 323–326.
Brouwer, A.E. and Lint, J.H. van: ‘Strongly regular graphs and partial geometries’, in D.M. Jackson and S.A. Vanstone (eds.): Enumeration and Design, Acad. Press, 1984, pp. 85-122.
Payne, S. and Thas, J.A.: Finite generalized quadrangles, Pitman, 1985.
Brouwer, A.E., Cohen, A.M. and Neumaier, A.: Distance regular graphs, Springer, 1989.
Batten, L.M.: Combinatorics of finite geometries, Cambridge Univ. Press, 1986, Chapt. 7.
Lint, J.H. van: ‘Partial geometries’, in Proc. internat. congress of mathematicians, Warsawa 1983, Vol. 2, PWN & North-Holland, 1984, pp. 1579-1590.
Parlett, B.: The symmetric eigenvalue problem, Prentice-Hall, 1980.
Wilkinson,. J.H.: The algebraic eigenvalue problem, Oxford Univ. Press, 1969.
Golub, G.H. and Loan, C.F. van: Matrix computations, Johns Hopkins Univ. Press, 1983.
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Fuchs, L.: Partially ordered algebraic systems, Pergamon, 1963.
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Bourbaki, N.: Elements of mathematics. Theory of sets, Addison-Wesley, 1968 (translated from the French).
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Rozen, V.V.: Partial operations on ordered sets, Saratov, 1973 (in Russian).
Skornyakov, L.A.: Elements of lattice theory, A. Hilger, 1977 (translated from the Russian).
Shatunovskiĭ, S.O.: Zap. Novoross. Obshch. Estestvoispytateleĭ 26 (1904), 21–25.
Shatunovskiĭ, S.O.: Proc. first All-Russian Congress of Mathematics Teachers, Vol. 1, 1913, pp. 276-281 (in Russian).
Shatunovskiĭ, S.O.: Introduction to analysis, Odessa, 1923 (in Russian).
Cantor, G.: ‘lieber unendliche Punktmannigfaltigkeiten, V, Math. Ann. 21 (1883), 545–591.
Cantor, G.: ‘Beiträge zur Begründung der transfiniten Mengenlehre, I’, Math. Ann. 46 (1895), 481–512.
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Moore, E.H. and Smith, H.L.: ‘A general theory of limits’, Amer. J. Math. 44 (1922), 102–121. See also the [6]-[9] to Lattice.
Aigner, M.: Combinatorial theory, Springer, 1979.
Dilworth, R.P.: ‘A decomposition theorem for partially ordered sets’, Ann. Math. (2) 51 (1950), 161–166.
Robertson, N. and Seymour, P.: ‘Graph minors — a survey’, in Surveys in Combinatorics 1985, Cambridge Univ. Press, 1985, pp. 153-171.
Rota, G.C.: ‘On the foundations of combinatorial theory. I: Theory of Möbius functions’, Z Wahrsch. 2 (1964), 340–368.
Todorčević, S.: ‘Directed nets and cofinal types’, Trans. Amer. Math. Soc. 290 (1985), 711–723.
Grätzer, G.: General lattice theory, Birkhäuser, 1978.
Belotserkovskiĭ, O.M. and Davydov, Yu. M.: The method of large particles in gas dynamics. Numerical experiments, Moscow, 1982 (in Russian).
D’yachenko, V.F.: ‘A new method for the numerical solution of nonstationary problems of gas dynamics with two spatial variables’, USSR Comp. Math. Math. Phys. 5, no. 4 (1965), 133–143. (Zh. Vychish. Mat. i Mat. Fiz. 5, no. 4 (1965), 680-688)
Evans, M.W. and Harlow, F.H.: The particle-in-cell method for hydrodynamical calculations, Los Alamos, 1957.
Gentry, R.A., Martin, R.E. and Daly, B.J.: Comput. Phys. 1, no. 1 (1966), 87–118.
The MAC-method, Los Alamos, 1966.
Amsden, A.A. and Harlow, F.H.: The S MAC-method: a numerical technique for calculating incompressible fluid flows, Los Alamos, 1970.
Berezin, Yu.A. and Vshivkov, V.A.: The particle method in the dynamics of dispersing plasms, Novosibirsk, 1980 (in Russian).
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Apostol, T.M.: Modular functions and Dirichtet series in number theory, Springer, 1976.
Andrews, G.E.: The theory of partitions, Addison-Wesley, 1976.
Engelking, R.: Dimension theory, PWN & North-Holland, 1978.
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1957.
Johnson, N.L. and Kotz, S.: Distributions in statistics: discrete distributions, Houghton Mifflin, 1970.
Hilbert, D.: Grundlagen der Geometrie, Springer, 1913.
Bieberbach, L.: Einleitung in die höhere Geometrie, Teubner, 1933.
Skornyakov, L.A.: ‘Protective planes’, Transi Amer. Math. Soc. (1) 1 (1953), 51–107. (Uspekhi Mat. Nauk 6, no. 6 (1951), 112-154)
Dembowski, P.: Finite geometries, Springer, 1968.
Reidemeister, K.: Vorlesungen über Grundlagen der Geometrie, Springer, 1968.
Artin, E.: Geometric algebra, Interscience, 1957.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969, pp. 231-239.
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Gomes Teixeira, F.: Traité des courbes, 1-3, Chelsea, reprint, 1971.
Lawrence, J.D.: A catalog of special plane curves, Dover, 1972, pp. 113-118.
Glagolev, N.A.: Protective geometry, Moscow, 1963 (in Russian).
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Hilbert, D.: Grundlagen der Geometrie, Teubner, reprint, 1968.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969.
Coxeter, H.S.M.: Projective geometry, Univ. Toronto Press, 1987, pp. 85-90; 145-146.
Salmon, G.: A treatise on conic sections, Longman, 1879, p. 267.
Uspenskiĭ, V.A.: Pascal’s triangle, Moscow, 1979 (in Russian).
The history of mathematics from Antiquity to the 19-th century, Vol. 2, Moscow, 1970 (in Russian).
Boyer, Ch.: A history of mathematics, Wiley, 1968.
Kline, M.: Mathematical thought from ancient to modern times, Oxford Univ. Press, 1972.
Pasch, M.: Vorlesungen über neuere Geometrie, Springer, reprint, 1926.
Hilbert, D.: Grundlagen der Geometrie, Teubner, reprint, 1962.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969, p. 178.
Hilton, P.J. and Wylie, S.: Homology theory. An introduction to algebraic topology, Cambridge Univ. Press, 1965.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Gray, B.: Homotopy theory, Acad. Press, 1975, p. 15ff, 130.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966, p. 75ff, 99ff.
Zhuravlev, Yu. I.: ‘An algebraic approach to the solution of pattern recognition and identification problems’, Probl. Kibernet. 33 (1978), 5–68; 232 (in Russian).
Aĭzerman, M.A., Braverman, E.M. and Rozonoer, L.I.: The method of potential functions in the theory of computer learning, Moscow, 1970 (in Russian).
Vapnik, V.N. and Chervonenkis, A.Ya.: The theory of pattern recognition, Moscow, 1974 (in Russian).
Fu, K.S.: Sequential methods in pattern recognition and learning, Acad. Press, 1968.
Boyer, R.S. and Moore, J.S.: ‘A fast string searching algorithm’, Comm. Assoc. Comput. Mach. 20 (1977), 762–772.
Knuth, D.E., Morris, J.H. and Pratt, V.R.: ‘Fast pattern matching in strings’, SIAM J. Comput. 6 (1977), 240–267.
Angluin, D. and Smith, C.: ‘Inductive inference: theory and methods’, Computing Surveys 15 (1983), 237–269.
Gold, E.M.: ‘Language identification in the limit’, Inform. and Control 10 (1967), 447–474.
Valiant, L.G.: ‘A theory of the learnable’, Comm. Assoc. Comput. Mach. 27 (1984), 1134–1142.
Andrews, H.L.: Introduction to mathematical techniques in pattern recognition, Wiley-Interscience, 1972.
Duda, O. and Hart, P.E.: Pattern classification and scene analysis, Wiley, 1973.
Fu, K.S. and Kak, A.C.: Syntactic methods in pattern rcognition, Acad. Press, 1974.
Grenander, U.: Lectures in pattern theory, 1-3, Springer, 1976–1979.
Sklansky, J.: Pattern recognition: introduction and foundations, Dowden, Hutchinson & Ross, 1973.
Tou, J.T. and Gonzales, R.C.: Pattern recognition principles, Addison-Wesley, 1974.
Tsypkin, Ya.Z.: Foundations of the theory of learning systems, Acad. Press, 1973 (translated from the Russian).
Ullmann, J.R.: Pattern recognition techniques, Crane, Russak & Co. 1973.
Pauli, W.: Works on quantum theory, Vol. 1–2, Moscow, 1975-1977 (in Russian; translated from the German).
Nelina, N.F.: Physics of elementary particles, Moscow, 1977 (in Russian).
Bril, D. and Wheeler, J.: The latest problems on gravitation, Moscow, 1961, pp. 381-427 (in Russian).
Pauli, W.: ‘Zur Quantenmechanik des magnetischen Elektrons’, Z Phys. 43, no. 601.
Pauli, W. (eds.): Handbuch der Physik, 24, Springer, 1933.
Wald, R.M.: General relativity, Chicago Press, 1984.
Choquet-Bruhat, Y. and Witt-Morette, C. De: Analysis, manifolds and physics, North-Holland, 1982 (translated from the French).
Rao, M.M.: Measure theory and integration, Wiley (Interscience), 1987, Chapt. 7.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Kennedy, H.C.: Peano. Life and works of Giuseppe Peano, Reidel, 1980.
Kennedy, H.C.: Selected works of Giuseppe Peano, Allen & Unwin, 1973.
Landau, E.: Grundlagen der Analysis, Akad. Verlagsgesellschaft, 1930.
Peano, G.: ‘Sur une courbe, qui remplit toute une aire plane’, Math. Ann. 36 (1890), 157–160.
Aleksandrov, P.S.: Introduction to set theory and general topology, Moscow, 1977 (in Russian).
Luzin, N.N.: Theory of functions of a real variable, Moscow, 1948 (in Russian).
Kuratowski, K.: Topology, 2, Acad. Press, 1966 (translated from the French).
Enos, H.: ‘Coarse uniformities on the rationals’, Proc. Amer. Math. Soc. 34 (1972), 623–626.
Isbell, J.: ‘d-final continua’, Proc. Amer. Math. Soc. 104 (1988), 953–964.
Ward, L.E.: ‘An irreducible Hahn—Mazurkiewicz theorem’, Houston J. Math. 3 (1977), 285–290.
Engelking, R.: General topology, Heldermann, 1989.
Aleksandrov, V.V. and Gorskiĭ, N.D.: Representation and processing of images, Kluwer, To appear (translated from the Russian).
Quinqueton, J. and Berthod, M.: ‘A locally adaptive Peano scanning alogorithm’, IEEE Trans. PAMI 3 (1981), 403–412.
Nguyen, P.T. and Quinqueton, J.:’ space-filling curves and texture analysis’, in Proc. 6th Internat. Conf. Pattern Recogn., 1982, pp. 282-285.
Butz, A.R.: ‘Space-filling curves and mathematical programming’, Inform. and Control 12 (1968), 314–330.
Peano, G.: ‘Démonstration de l’intégrabilité des équations différentielles ordinaires’, Math. Ann. 37 (1890), 182–228.
Petrovskiĭ, I.G.: Ordinary differential equations, Prentice-Hall, 1966 (translated from the Russian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Elderton, W.P.: Frequency curves and correlation, Harren, 1953.
Stuart, A. and Ord, J.K.: Kendall’s advanced theory of statistics, Griffin, 1987.
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Bol’shev, L.N.: ‘Asymptotically Pearson transformations’, Theory Probab. Appl. 8, no. 2 (1963), 121–146. (Teor. Veroyatnost. i Primenen. 8, no. 2 (1963), 129-155)
Johnson, N.L. and Kotz, S.: Distributions in statistics, 1. Continuous univariate distributions, Wiley, 1970.
Berger, M.: Geometry, 1, Springer, 1987 (translated from the French).
Darboux, G.: Leçons sur la théorie générale des surfaces et ses applications géométriques du calcul infinitesimal, 1-4, Gauthier-Villars 1887.
Kleene, S.C.: Introduction to metamathematics, North-Holland & Noordhoff, 1950, p. 139.
Peirce, B.: ‘Linear associative algebra’, Amer. J. Math. 4 (1881), 97–229.
Rowen, L.: Ring theory, I, Acad. Press, 1988, p. 36.
Jacobson, N.: Structure of rings, Amer. Math. Soc, 1956, p. 48, 50.
McConnell, J.C. and Robson, J.C.: Noncommutative Noetherian rings, Wiley, 1987.
Walfisz, A.Z.: Pell’s equation, Tbilisi, 1952 (in Russian).
Gel’fond, A.D.: The solution of equations in integers, Noordhoff, 1960 (translated from the Russian).
LeVeque, W.J.: Topics in number theory, Addison-Wesley, 1965.
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Clarendon Press, 1979.
Moiseev, N.N., Ivanilov, Yu.P. and Stolyarova, E.M.: Methods of optimization, Moscow, 1978 (in Russian).
Vasil’ev, F.P.: Numerical methods for the solution of extremum problems, Moscow, 1980 (in Russian).
Fiacco, A.V. and MacCormick, G.P.: Nonlinear programming: Sequential unconstrained minimization techniques, Wiley, 1968.
Cea, J.: Lectures on optimization: theory and algorithms, Springer, 1978.
Fletcher, R.: Practical methods of optimization, Wiley, 1987.
Luenberger, D.C.: Optimization by vector space methods, Wiley, 1969.
Peressini, A.L., Sullivan, F.E. and Uhl, J.J.: The mathematics of nonlinear programming, Springer, 1988.
Arnol’d, V.I.: Ordinary differential equations, M.I.T., 1973 (translated from the Russian).
Kamke, E.: Differentialgleichungen: Lösungsmethoden und Lösungen, 1, Chelsea, reprint, 1971.
Andronov, A.A., Vitt, A.A. and Khaĭkin, S.E.: Theory of oscillators, Dover, reprint, 1987 (translated from the Russian).
Hale, J.K.: Ordinary differential equations, Wiley (Interscience), 1969.
Guckenheimer, J. and Holmes, P.: Nonlinear oscillations, dynamical systems, and bifurcation of vectorfields, Springer, 1983.
Wiggins, S.: Global bifurcations and chaos, Springer, 1988.
Sanders, J.A. and Verhulst, F.: Averaging methods in nonlinear dynamical systems, Springer, 1985.
Arnold, V.I. and Avez, A.: Problèmes ergodiques de la mécanique classique, Gauthiers-Villars, 1967 (translated from the Russian).
Klein, F.: Vorlesungen über höhere Geometrie, Springer, 1926.
Bushmanova, G.V. and Norden, A.P.: Elements of conformai geometry, Kazan’, 1972 (in Russian).
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Coolidge, J.A.: Treatise on the circle and the sphere, Chelsea, reprint, 1971.
Dubois, Ph.H.: An introduction to psychological statistics, Harper & Row, 1965, p. 412ff.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984, p. 232ff (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Algèbre, Masson, 1981, Chapts. 4-5.
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. General topology, Addison-Wesley, 1966 (translated from the French).
Engelking, R.: General topology, Heldermann, 1989.
Gnedenko, B.V. and Kolmogorov, A.N.: Limit distributions for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Marczewski, E.: ‘On compact measures’, Fund. Math. 40 (1953), 113–124.
Ryll-Nardzewski, C.: ‘On quasi-compact measures’, Fund. Math. 40 (1953), 125–130.
Sazonov, V.V.: ‘On perfect measures’, Transl. Amer. Math. Soc. (2) 48 (1965), 229–254. (Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 391-414)
Ramachandran, D.: Perfect measures, 1-2, MacMillan, 1979.
Yen, Kia-An: ‘Forme mesurable de la théorie des ensembles sousliniens, applications à la théorie de la mesure’, Scientia Sinica XVIII (1975), 444–463.
Dickson, L.E.: History of the theory of numbers, 1, Chelsea, reprint, 1952.
Nankar, M.L.: ‘History of perfect numbers’, Ganita Bharati 1, no. 1-2 (1979), 7–8.
Slowinski, D.: ‘Searching for the 27th Mersenne prime’, J. Recreational Math. 11 (1979), 258–261.
Hagis, P.: ‘A lower bound for the set of odd perfect prime numbers’, Math. Comp. 27 (1973), 951–953.
Riele, H.J.J.: ‘Perfect numbers and aliquot sequences’, in H.W. Lenstra and R. Tijdeman (eds.): Computational Methods in Number Theory, Vol. 154, CWI, Amsterdam, 1982, pp. 141-157.
Riesel, H.: Prime numbers and computer methods for factorisation, Birkhäuser, 1985.
Kasch, F.: Modules and rings, Acad. Press, 1982 (translated from the German).
Faith, C.: Algebra, 1-2, Springer, 1973-1979.
Markov, V.T., Mikhalev, A.V., Skornyakov, L.A. and Tuganbaev, A.A.: ‘Modules’, J. Soviet Math. 23, no. 6 (10983), 2642–2706. (Itogi Nauk. Algebra. Topol. Geom. 19 (1981), 31-134)
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984, p. 62, 1442ff (translated from the Russian).
Caccoppoli, R.: ‘Misura e integrazione sugli insiemi dimensionalmente orientati I’, Rend. Accad. Naz. Lincei Ser. 8 12, no. 1 (1952), 3–11.
Caccoppoli, R.: ‘Misura e integrazione sugli insiemi dimen-sionalmente orientati II’, Rend. Accad. Naz. Lincei Ser. 8 12, no. 2(1952), 137–146.
Giorgi, E. de: ‘Sulla proprietà isoperimetrica dell’ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita’, Rend. Accad. Naz. Lincei Ser. 1 5, no. 2 (1958), 33–34.
Giusti, E.: Minimal surfaces and functions of bounded variation, Birkhäuser, 1984.
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Burago, Yu.D. and Zalgaller, V.A.: Geometric inequalities, Springer, 1988 (translated from the Russian).
Federer, H.: Geometric measure theory, Springer, 1969.
Griffiths, P.A.: ‘Periods of integrals on algebraic manifolds I’, Amer. J. of Math. 90 (1968), 568–625.
Griffiths, P.A.: ‘Periods of integrals on algebraic manifolds II’, Amer. J. of Math. 90 (1968), 805–865.
Griffiths, P.A.: ‘Periods of integrals on algebraic manifolds III’, Publ. Math. IHES 38 (1970), 125–180.
Griffiths, P.A.: ‘A transcendental method in algebraic geometry’, in Actes du congrès international des mathématiciens Nice, 1970, Vol. 1, Gauthier-Villars, 1971, pp. 113-119.
Deligne, P.: ‘Travaux de Griffiths’, in Sém. Bourbaki Exp. 376, Lecture notes in math., Vol. 180, Springer, 1971, pp. 213-235.
Schmid, W.: ‘Variation of Hodge structure: the singularities of the period mapping’, Invent. Math. 22 (1973), 211–319.
Cattani, E.H. and Kaplan, A.G.: ‘Existence of period mappings for Hodge structures of weight two’, Duke Math. J. 4, no. 1 (1977), 1–43.
Dubrovin, B.A.: ‘Theta-functions and non-linear equations’, Russian Math. Surveys 36, no. 2 (1981), 11–92. (Uspekhi Mat. Nauk 36, no. 2(1981), 11-80)
Kulikov, V.A.: Uspekhi Mat. Nauk 32, no. 4 (1977), 257–258.
Mumford, D.: Matematika 17, no. 4 (1973), 34–43.
Baily, W. and Borel, A.: ‘Compactification of arithmetic quotients of bounded symmetric domains’, Ann. of Math. 84 (1966), 442–528.
Cattani, E. and Kaplan, A.: ‘Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure’, Invent. Math. 67 (1982), 101–115.
Loouenga, E.: ‘A period mapping for certain semi-universal deformations’, Compos. Math. 30 (1975), 299–316.
Varchenko, A.N.: ‘Mapping of periods and intersection form’, Funct. Anal. Appl. 16, no. 2 (1982), 83–93. (Funkts. Anal. Prilozhen. 16, no. 2 (1982), 7-20)
Peters, C. and Steenbrink, J.: ‘Infinitesimal variations of Hodge structures’, in K. Ueno (ed.): Classical Algebraic and Analytic Manifolds, Birkhäuser, 1984, pp. 399-463.
Griffiths, P.: ‘Variation of Hodge structures’, in P. Griffiths (ed.): Topics in Transcendental Algebraic Geometry, Princeton Univ. Press, 1984, pp. 3-28.
Griffiths, P. and Schmid, W.: ‘Recent developments in Hodge theory’, in Discrete Subgroups of Lie Groups and Applications to Moduli, Oxford Univ. Press, 1975, pp. 31-128.
Cornalba, M. and Griffiths, P.:’ some transcendental aspects of algebraic geometry’, in R. Hartshorne (ed.): Algebraic Geometry (Arcata 1974), Proc. Symp. Pure Math., Vol. 29, Amer. Math. Soc.,’ 1975, pp. 3-110.
Carlson, J., N. Green, Griffiths, P. and Harris, J.: ‘Infinitesimal variations of Hodge structure I’, Compos. Math. 50 (1983), 109–205.
Donagi, R.: ‘Generic Torelli for hypersurfaces’, Compos. Math. 50 (1983), 325–353.
Green, M.: ‘The period maps for hypersurface sections of high degree of an algebraic variety’, Compos. Math. 55 (1984), 135–156.
Cox, D.A.: ‘Generic Torelli and infinitesimal variation of Hodge structure’, in S.J. Bloch (ed.): Algebraic Geometry (Bowdoin 1985), Proc. Symp. Pure Math., Vol. 46, Amer. Math. Soc., 1987, pp. 235-246.
Markushevich, A.I.: Theory of functions of a complex variable, 2, Chelsea, 1977 (translated from the Russian).
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955–1956 (translated from the Russian).
Hall, P.: The theory of groups, MacMillan, 1959.
Robinson, D.J.S.: Finiteness conditions and generalized soluble groups, I, Springer, 1972.
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Conley, C. and Zehnder, E.: ‘Morse type index theory for flows and periodic solutions for Hamiltonian equations’, Comm. Pure Appl. Math. 37 (1984), 207–253.
Lloyd, N.G.: ‘Limit cycles of polynomial systems-some recent developments’, in T. Bedford and J. Swift (eds.): New directions in dynamical systems, Cambridge Univ. Press, 1988, pp. 192-234.
Markus, L.: Lectures in differentiable dynamics, Amer. Math. Soc, 1980, Appendix II.
Neumann, D.A.: ‘Existence of periodic orbits on 2-manifolds’, J. Differential Eq. 27 (1987), 313–319.
Rabinowitz, P.H., Ambrosetti, A., Ekeland, I. and Zehnder, E.J. (eds.): Periodic solutions of Hamiltonian systems and related topics, Proc. NATO Adv. Res. Workshop, 1986, Reidel, 1987.
Sacker, R.J. and Sell, G.R.: ‘On the existence of periodic solutions on 2-manifolds’, J. Differential Eq. 11 (1972), 449–463.
Clifford, A.H. and Preston, G.B.: The algebraic theory of semi-groups, 1, Amer. Math. Soc, 1961.
Lyapin, E.S.: Semigroups, Amer. Math. Soc, 1974 (translated from the Russian).
Prosvirov, A.S.: ‘Periodic semigroups’, Mat. Zap. Uralsk. Univ. 8, no. 1 (1971), 77–94 (in Russian).
Shevrin, L.N.: ‘On the theory of periodic semigroups’, Soviet Math. Izv. Vyz. 18, no. 5 (1974), 172–181. (Izv. Vyzov. Mat. 18, no. 5 (1974), 205-215)
Putcha, M.: ‘Semilattice decompositions of semigroups’, Semigroup Forum 6, no. 1 (1973), 12–34.
Schwarz, S.: ‘Contribution to the theory of torsion semigroups’, Chekhoslov. Mat. Zh. 3 (1953), 7–21 (in Russian). English abstract.
Verhulst, F.: Nonlinear differential equations and dynamical systems, Springer, 1990.
Winfree, A.T.: The geometry of biological time, Springer, 1980.
Hale, J.K.: Differential equations, Birkhäuser, 1982.
Brillinger, D.: Time series: data analysis and theory, Holt, Rinehart & Winston, 1974.
Hannan, E.J.: Multiple time series, Wiley, 1970.
Freudenthal, H.: ‘Neuaufbau der Endentheorie’, Ann. of Math. 43 (1942), 261–279.
Freudenthal, H.: ‘Kompaktisierungen und Bikompaktisierungen’, Indag. Math. 13, no. 2 (1951), 184–192.
Sklyarenko, E.G.: ‘Bicompact extensions of semibicompact spaces’, Dokl. Akad. Nauk. SSSR 120, no. 6 (1958), 1200–1203 (in Russian).
Arkhangel’skiĭ,A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Isbell, J.R.: Uniform spaces, Amer. Math. Soc, 1964, Chapt. 7.
Ryser, H.J.: Combinatorial mathematics, Wiley & Math. Assoc. Amer., 1963.
Sachkov, V.N.: Combinatorial methods in discrete mathematics, Moscow, 1977 (in Russian).
Minc, H.: Permanents, Addison-Wesley, 1978.
Egorichev, G.P.: The solution of van der Waerden’s problem on permanents, Krasnoyarsk, 1980 (in Russian).
Falikman, D.I.: ‘Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix’, Math. Notes 29, no. 6 (1981), 475–479. (Mat. Zametki 29, no. 6 (1981), 931-938)
Knuth, D.E.: ‘A permanent inequality’, Amer. Math. Monthly 88 (1981), 731–740.
Lagarias, J.C.: The van der Waerden conjecture: two Soviet solutions’, Notices Amer. Math. Soc. 29, no. 2 (1982), 130–133.
Lint, J.H. van: ‘Notes on Egoritsjev’s proof of the van der Waerden conjecture’, Linear Algebra Appl. 39 (1981), 1–8.
Egorychev, G.P. [G.P. Egorichev]: The solution of van der Waerden’s problem for permanents’, Adv. in Math. 42 (1981), 299–305.
Lint, J.H. van: The van der Waerden conjecture: Two proofs in one year’, Math. Intelligencer 4 (1982), 72–77.
Wilson, R.M.: ‘Non-isomorphic triple systems’, Math. Zeitschr. 135 (1974), 303–313.
Schrijver, A.: ‘A short proof of Minc’s conjecture’, J. Comb. Theory (A) 25 (1978), 80–83.
Minc, H.: Nonnegative matrices, Wiley, 1988.
Sachkov, V.N.: Combinatorial methods in discrete mathematics, Moscow, 1977 (in Russian).
Riordan, J.: An introduction to combinatorial analysis, Wiley, 1958.
Passman, D.: Permutation groups, Benjamin, 1968.
Wielandt, H.: Finite permutation groups, Acad. Press, 1968 (translated from the German).
Burnside, W.: Theory of groups of finite order, Dover, reprint, 1955 (translated from the German).
Kaluzhnin, L.A. and Sushchanskiĭ, V.I.: Transformations and permutations, Moscow, 1979 (in Ukrainian).
Hall, M.: The theory of groups, Macmillan, 1959.
Kaluzhnin, L.A., Klin, M.Kh. and Sushchanskiĭ, V.I.:’ Exponentiation of permutation groups I’, Izv. Vyssch. Uchebn. Zaved. Mat., no. 8 (1979), 26-33 (in Russian)
Jordan, G: Traité des substitutions et des équations algébriques, Paris, 1957.
Kostrikin, A.I.: Introduction to algebra, Springer, 1982 (translated from the Russian).
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Hall, M.: The theory of groups, Macmillan, 1959.
Berezin, F. A.: The method of second quantization, Moscow, 1965 (in Russian).
Gårding, L. and Wightman, A.: ‘Representations of the anticommutation relations’, Proc. Nat. Acad. Sci. USA 40, no. 7 (1954), 617–621.
Garding, L. and Wightman, A.: ‘Representations of the commutation relations’, Proc. Nat. Acad. Sci. USA 40, no. 7 (1954), 622–626.
Bogolyubov, N.N., Logunov, A.A., Oksak, A.I. and Todorov, I.T.: General principles of quantum field theory, Kluwer, 1990, p. 265ff; 295 (translated from the Russian).
Emch, G.G.: Algebraic methods in statistical mechanics and quantum field theory, Wiley (Interscience), 1972.
Horuzhy, S.S. [S.S. Khorozhiĭ]: Introduction to algebraic quantum field theory, Kluwer, 1990, p. 256ff (translated from the Russian).
Zavialov, O.I.: Renormalized quantum field theory, Kluwer, 1990, p. 3ff (translated from the Russian).
Hàjek, J. and Sidák, Z.: Theory of rank tests, Acad. Press, 1967.
Lehmann, E.: Testing statistical hypotheses, Wiley, 1986.
Zabreyko, P.P. [P.P. Zabreiko], et al.: Integral equations-a reference text, Noordhoof, 1975 (translated from the Russian).
Perron, O.: ‘Zur Theorie der Matrizen’, Math. Ann. 64 (1907), 248–263.
Frobenius, G.: ‘Ueber Matrizen aus nicht negativen Elementen’, Sitzungsber. Königl. Preuss. Akad. Wiss. (1912), 456-477.
Gantmakher, F.R.: The theory of matrices, Chelsea, reprint, 1977 (translated from the Russian).
Seneta, E.: Nonnegative matrices, Allen & Unwin, 1973.
Lancaster, K.: Mathematical economics, MacMillan, 1968.
Perron, O.: ‘Ueber den Integralbegriff’, Sitzungsber. Heidelberg. Akad. Wiss. VA (1914), 1-16.
Bauer, H.: ‘Der Perronsche Integralbegriff und seine Beziehung auf Lebesguesschen’, Monatsh. Math. Phys. 26 (1915), 153–198.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Vinogradova, I.A. and Skvortsov, V.A.: ‘Generalized integrals and Fourier series’, Itogi Nauk. Mat. Anal. 1970 (1971), 67-107 (in Russian).
Perron, O.: ‘Eine neue Behandlung der ersten Randwertaufgabe für Δu=0’, Math. Z 18 (1923), 42–54.
Petrovskiĭ, I.G.: ‘Perron’s method for the solution of the Dirichlet problem’, Uspekhi Mat. Nauk 8 (1941), 107–114 (in Russian).
Wiener, N.: ‘Certain notions in potential theory’, J. Math. Phys. 3 (1924), 24–51.
Wiener, N.: ‘The Dirichlet problem’, J. Math. Phys. 3 (1924), 127–146.
Wiener, N.: ‘Note on paper of O. Perron’, J. Math. Phys. 4 (1925), 21–32.
Keldysh, M.V.: ‘On the solvability and stability of the Dirichlet problem’, Uspekhi Mat. Nauk 8 (1941), 171–231 (in Russian).
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Brelot, M.: ‘Familles de Perron et problème de Dirichlet’, Acta Sci. Math. (Szeged) 9 (1938–1940), 133–153.
Lebesgue, H.: ‘Sur des cas d’impossibilité du problème de Dirichlet ordinaire’, C.R. Séances Soc. Math. France 41 (1913), 17.
Lebesgue, H.: ‘Conditions de régularité, conditions d’irrégularité, conditions d’impossibilité dans le problème de Dirichlet’, C.R. Acad. Sci. 178 (1924), 349–354.
Netuka, I.: The Dirichlet problem for harmonie functions’, Amer. Math. Monthly 87 (1980), 621–628.
Zaremba, S.: ‘Sur le principe de Dirichlet’, Acta Math. 34 (1911), 293–316.
Ward, A.J.: ‘The Perron-Stieltjes integral’, Math. Z. 41 (1936), 578–604.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Vinogradova, I.A. and Skvortsov, V.A.: ‘Generalized integrals and Fourier series’, Itogi Nauk. Mat. Anal. 1970 (1971), 65-107 (in Russian).
Perron, O.: ‘Ueber eine Matrixtransformation’, Math. Z. 32 (1930), 465–473.
Diliberto, S.P.: ‘On systems of ordinary differential equations’, in S. Lefschetz, et al. (ed.): Contributions to the theory of nonlinear oscillations, Ann. Math. Studies, Vol. 20, Princeton Univ. Press, 1950, pp. 1-38.
Bylov, B.F., Vinograd, R.E., Grobman, D.M. and Nemytskiĭ, V.V.: The theory of Lyapunov exponents and its application to questions of stability, Moscow, 1966 (in Russian).
Izobov, N.A.: ‘Linear systems of ordinary differential equations’, J. Soviet Math. 5, no. 1 (1976), 45–96. (Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 71-146)
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Gomez Teixeira, F.: Traité des courbes, 1-3, Chelsea, reprint, 1971.
Fladt, K.: Analytische Geometrie spezieller ebener Kurven, Akad. Verlagsgesellschaft, 1962.
Artin, H.: Geometric algebra, Interscience, 1957.
Glagolev, N.A.: Projective geometry, Moscow, 1963 (in Russian)
Berger, M.: Geometry, I, Springer, 1987 (translated from the French).
Busemann, H. and Kelly, P.: Projective geometry and projective metrics, Acad. Press, 1953.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1963.
Coxeter, H.S.M.: Projective geometry, Blaisdell, 1964.
Coxeter, H.S.M.: The real projective plane, McGraw-Hill, 1949.
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian).
Bylov, B.F., Vinograd, R.E., Grobman, D.M. and Nemytskiĭ, V.V.: The theory of the Lyapunov exponent and its application to questions of stability, Moscow, 1966 (in Russian).
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Roseau, M.: Vibrations non linéaires et théorie de la stabilité, Springer, 1966.
Verhulst, F.: Nonlinear differential equations and dynamical systems, Springer, 1989.
Poincaré, H.: Les méthodes nouvelles de la mécanique céleste, 1-3, Gauthier-Villars, 1892–1899.
Poincaré, H.: Oeuvres de Henri Poincaré, Vol. 1-3, Gauthier-Villars, 1916–1965.
Charlier, C.: Die Mechanik des Himmels, 1-3, de Guyter, 1927.
Birkhoff, G.D.: Dynamical systems, Amer. Math. Soc, 1927.
Kolmogorov, A.N.: ‘On dynamic systems with an integral invariant on a torus’, Dokl. Akad. Nauk SSSR 93, no. 5 (1953), 763–766 (in Russian).
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Moser, J.K.: Lectures on Hamiltonian systems, Amer. Math. Soc, 1968.
Bogolyubov, N.N. and Krylov, N.M.: Méthodes approchées de la mécanique non-linéaire dans leur application à l’étude de la perturbation des mouvements périodiques et de divers phénomènes de résonance s’y rapportant, Acad. Sci. Ukraine, 1935.
Bogoliuboff, N.N. [N.N. Bogolyubov] and Kryloff, N.M. [N.M. Krylov]: Introduction to non-linear mechanics, Kraus, 1970 (translated from the Russian).
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).
Moiseev, N.N.: Asymptotic methods of non-linear mechanics, Moscow, 1969 (in Russian).
Chelomei, V.N.: ‘On the possibility of increasing stability of elastic systems by vibrations’, Dokl. Akad. Nauk SSSR 110, no. 3 (1956), 345–347 (in Russian).
Bogoliubov, N.N. [N.N. Bogolyubov], Mitropoliskiĭ, Yu.A. [Yu.A. Mitropol’skiĭ] and Samolenko, A.M. [A.M. Samoĭlenko]: Methods of accelerated convergence in non-linear mechanics, Springer, 1976 (translated from the Russian).
Bogolyubov, N.N.: On some statistical methods in mathematical physics, Kiev, 1945 (in Russian).
Dorodnitsyn, A.A.: ‘Asymptotic solution of the van der Pol equation’, Priklad. Mat. Mekh. 11 (1947), 313–328 (in Russian). English abstract.
Tikhonov, A.N.: ‘On dependence of solutions of differential systems on a small parameter’, Mat. Sb. 22 (64), no. 2, 193-204 (in Russian).
Pontryagin, L.S.: ‘Asymptotic behaviour of solutions of a system of differential equations with small parameter in front of the highest derivative’, Izv. Akad. Nauk SSSR Ser. Mat. 21 (1957), 605–626 (in Russian).
Mishchenko, E.F.: ‘Asymptotic calculation of periodic solutions of systems of differential equations with a small parameter in front of the derivatives’, Izv. Akad. Nauk SSSR Ser. Mat. 21 (1957), 627–654 (in Russian).
Blokhintsev:, D.I.: Grundlagen der Quantenmechanik, Deutsch. Verlag Wissenschaft., 953 (translated from the Russian).
Bogolyubov, N.N.: Lectures on quantum statistics, Gordon and Breach, 1967 (translated from the Russian).
Bogolyubov, N.N.: Selected works, 2, Kiev, 1970 (in Russian).
Bogolyubov, N.N. and Shirkov, D.V.: Introduction to the theory of quantized fields, Interscience, 1959 (translated from the Russian).
Bogolyubov, N.N., Logunov, A.A. and Todorov, LT.: Introduction to axiomatic quantum field theory, Benjamin, 1975 (translated from the Russian).
Akhiezer, A.I. and Berestetskiĭ, V.B.: Quantenelektrodynamik, H. Deutsch Verlag, Frankfurt a.M, 1962 (translated from the Russian).
Maslov, V.P.: Théorie des perturbations et méthodes asympto-tiques, Dunod, 1972 (translated from the Russian).
Smith, D.R.: Singular perturbation theory, Cambridge Univ. Press, 1985.
Eckhaus, W.: Matched asymptotic expansion and singular perturbations, North-Holland, 1973.
O’Malley, R.E., Jr.: Introduction to singular perturbation, Acad. Press, 1974.
Wasow, W.: Linear turning point theory, Springer, 1985.
Vasil’eva, A.B.: ‘Asymptotic behaviour of solutions to certain problems involving nonlinear differential equations containing a small parameter multiplying the highest derivatives’, Russian Math. Surveys 18, no. 3 (1963), 13–84. (Uspekhi Mat. Nauk 18, no. 3 (1963), 15-86)
Verhulst, F.: Nonlinear differential equations and dynamical systems, Springer, 1989.
Sanders, J.A. and Verhulst, F.: Averaging methods in nonlinear dynamical systems, Springer, 1985.
Grasman, J.: Asymptotic methods for relaxation oscillations and applications, Springer, 1987.
Eckhaus, W.: Asymptotic analysis of singular perturbations, North-Holland, 1979.
Arnol’d, V.I. and Avez, A.: Problèmes ergodiques de la mécanique classique, Gauthier-Villars, 1967 (translated from the Russian).
Bellman, R.: Perturbation techniques in mathematics, physics and engineering, Holt, Rinehart & Winston, 1964.
Peter, F. and Weyl, H.: ‘Die Vollständigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe’, Math. Ann. 97 (1927), 737–755.
Peter, F. and Weyl, H.: ‘Die Vollständigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe’, in Gesammelte Abh. H. Weyl, Vol. III, Springer, 1968, pp. 58-75.
Poctryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Hewitt, E. and Ross, K.A.: Abstract harmonic analysis, 1-2, Springer, 1979.
Chevalley, C.: Theory of Lie groups, 1, Princeton Univ. Press, 1946.
Palais, R.S. and Stewart, T.E.: ‘The cohomology of differentiable transformation groups’, Amer. J. Math. 83, no. 4 (1961), 623–644.
Mostow, G.D.: ‘Cohomology of topological groups and solvmanifolds’, Ann. of Math. 73, no. 1 (1961), 20–48.
Barut, A.O. and Raczka, R.: Theory of group representations and applications, PWN, 1977.
Wawrzynczyk, A.: Group representations and special functions, Reidel, 1984, Sect. 4.4.
Knapp, A.W.: Representation theory of semisimple groups, Princeton Univ. Press, 1988, p. 17.
Rashevskiĭ, P.K.: A course of differential geometry, Moscow, 1956 (in Russian).
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Hicks, N.J.: Notes on differential geometry, v. Nostrand, 1965.
Guggenheimer, H.W.: Differential geometry, Dover, reprint, 1977.
Peterson, K.M.: Mat. Sb. 1 (1866), 391–438.
Shulikovskiĭ, V.I.: Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Finikov, S.P.: Bending and related geometrical problems, Moscow-Leningrad, 1937 (in Russian).
Shirokov, P.A. and Shirokov, A.P.: Affine differential-geometrie, Teubner, 1962 (translated from the Russian).
Peterson, J.L.: Petri net theory and the modelling of systems, Prentice Hall, 1981.
Kotov, V.E.: Petri nets, Moscow, 1986 (in Russian).
Starke, P.H.: Petri-Netze, Deutsch. Verlag Wissenschaft., 1981.
Reissig, W.: Petri nets, Springer, 1985.
Salomaa, A.: Computation and automata, Cambridge Univ. Press, 1985.
Varshavsky, V.I. [V.I. Varshavskiĭ]: Self-timed control of concurrent processes, Kluwer, 1990 (translated from the Russian).
Pettis, B.J.: ‘On integration in vector spaces’, Trans. Amer. Math. Soc. 44, no. 2 (1938), 277–304.
Gel’fand, I.M.: ‘Sur un lemme de la théorie des espaces linéaires’, Zap. Naukovodosl. Inst. Mat. Mekh. Kharkov. Mat. Tov. 13, no. 1 (1936), 35–40.
Hildebrandt, T.: ‘Integration in abstract spaces’, Bull. Amer. Math. Soc. 59 (1953), 111–139.
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc, 1957.
Diestel, J. and Uhl, J.J., Jr.: Vector measures, Math. Surveys, 15, Amer. Math. Soc, 1977.
Talagrand, M.: Pettis integral and measure theory, Memoirs, 307, Amer. Math. Soc, 1984.
Bichteler, K.: Integration theory (with special attention to vector measures), Lecture notes in math., 315, Springer, 1973.
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wesley, 1975, Chapt.4;5;6 (translated from the French).
Pfaff, J.F.: Berl. Abh. (1814–1815), 76-135.
Euler, L.: ‘Institutiones calculi differentialis’, in G. Kowalewski (ed.): Opera Omnia; series prima; opère mathematica, Vol. 10, Teubner, 1980,Chapt. IX (in Latin).
Petrovskiĭ, I.G.: Ordinary differential equations, Prentice-Hall, 1966 (translated from the Russian).
Bogdanov, Yu.S.: Lectures on differential equations, Minsk, 1977 (in Russian).
Cartan, E.: ‘Sur la théorie des systèmes en involution et ses applications à la relativité’, Bull. Soc. Math. France 59 (1931), 88–118.
Rashevskiĭ, P.K.: Geometric theory of partial differential equations, Moscow-Leningrad, 1947 (in Russian).
Gérard, R. and Ramis, J.-R. (eds.): Equations différentielles et systèmes de Pfaff dans le champ complexe 1-2, Lecture notes in math., 712; 1015, Springer, 1979.
Libermann, P. and Marle, C.-M.: Symplectic geometry and analytical mechanics, Reidel, 1987, Chapt. V (translated from the French).
Libermann, P. and Marle, C.-M.: Symplectic geometry and analytical mechanics, Reidel, 1987, Chapt. V (translated from the French).
Cartan, E.: ‘Sur la théorie des systèmes en involution et ses applications à la relativité’, Bull. Soc. Math. France 59 (1931), 88–118.
Cartan, E.: Leçons sur les invariantes intégraux, Hermann, 1922.
Rashevskiĭ, P.K.: Geometric theory of partial differential equations, Moscow-Leningrad, 1947 (in Russian).
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Griffiths, P.A.: Exterior differential systems and the calculus of variations, Birkhäuser, 1983.
Libermann, P. and Marle, C.M.: Symplectic geometry and analytical mechanics, Reidel, 1987, Chapt. V, Appendix 3 (translated from the French).
Cartan, E.: Systèmes différentielles extérieurs et leur applications géométriques, Hermann, 1945.
Cartan, E.: ‘Sur l’intégration des systèmes d’équations aux différentielles totales’, Ann. Sci. Ec. Norm. Sup. 18 (1901), 241–311.
Kahler, E.: Einführung in die Theorie der Systeme von Differentialgleichungen, Teubner, 1934.
Kuranishi, M.: Lectures on exterior differential systems, Tata Inst., 1962.
Dieudonné, J.: Eléments d’analyse, 4, Gauthier-Villars, 1977, Chapt. XVIII, Sect. 13.
Kubo, R.: Thermodynamics, North-Holland, 1968.
Landau, L.D. and Lifshitz, E.M.: Statistical physics, 1, Pergamon, 1980 (translated from the Russian).
Fermi, E.: Thermodynamics, Dover, reprint, 1956.
Hajek, O.: Dynamical systems in the plane, Acad. Press, 1968.
Hirsch, M.W. and Smale, S.: Differential equations, dynamical systems, and linear algebra, Acad. Press, 1974.
Butkovsky, A.G. [A.G. Butkovskiĭ]: Phase portraits of control dynamical systems, Kluwer, 1990 (translated from the Russian).
Libermann, P. and Marle, C.M.: Symplectic geometry and analytical mechanics, Reidel, 1987 (translated from the French).
Khinchin, A.I.: Mathematical foundations of statistical mechanics, Dover, reprint, 1949 (translated from the Russian).
Ruelle, D.: Statistical mechanics, Benjamin, 1969.
Choquet-Bruhat, Y., Witt-Morette, C. de and Dillard-Bleick, M.: Analysis, manifolds and physics, North-Holland, 1977 (translated from the French).
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Gantmacher, F. [F.R. Gantmakher]: Lectures in analytical mechanics, Mir, 1975 (translated from the Russian).
Bhatia, N.P. and Szegö, G.P.: Stability theory of dynamical systems, Springer, 1970, p. 6, 14.
Butkovsku, A.G. [A.G. Butkovskiĭ]: Phase portraits of control dynamical systems, Kluwer, 1990 (translated from the Russian).
Hirsch, M.W. and Smale, S.: Differential equations, dynamical systems, and linear algebra, Acad. Press, 1974.
Anosov, D.V. and Arnold, V.I. (eds.): Dynamical systems, I, Springer, 1988, p. 159ff.
Landau, L.D. and Lifshitz, E.M.: Statistical physics, Pergamon, 1980 (translated from the Russian).
Sinai, Ya.G.: Theory of phase transitions, Pergamon, 1982 (translated from the Russian).
Frisch, H.L. and Lebowitz, J.L. (eds.): The equilibrium theory of classical fluids, Benjamin, 1964.
Stanley, H.E.: Introduction to phase transitions and critical phenomena, Pergamon, 1971.
Pontryagin, L.S.: Ordinary differential equations,’ Addison-Wesley, 1962 (translated from the Russian).
Arnol’d, V.I.: Geometrical methods in the theory of ordinary differential equations, Springer, 1983 (translated from the Russian).
Phragmén, H. and Lindelöf, H.: ‘Sur une extension d’un principe classique de l’analyse’, Acta Math. 31 (1908), 381–406.
Titchmarsh, E.: The theory of functions, Oxford Univ. Press, 1979.
Stoĭlov, S.: The theory of functions of a complex variable, 1-2, Moscow, 1962 (in Russian; translated from the Rumanian).
Evgrafov, M.A.: Analytic functions, Saunders, Philadelphia, 1966 (translated from the Russian).
Privalov, I.I.: Subharmonic functions, Moscow-Leningrad, 1937 (in Russian).
Solomentsev, E.D.: ‘Harmonic and subharmonic functions and their generalizations’, Itogi Nauk. Mat. Anal. Teor. Veryat-nost. Regulirovanie. 1962 (1964), 83-100 (in Russian).
Evgrafov, M.A.: ‘Generalization of the Phragmén-Lindelöf theorems for analytic functions to solutions of various elliptic systems’, Izv. Akad. Nauk SSSR Ser. Mat. 27 (1963), 843–854 (in Russian).
Landis, E.M.: Second-order equations of elliptic and parabolic type, Moscow, 1971 (in Russian).
Tikhonov, A.N.: ‘Uniqueness theorems for the heat equation’, Mat. Sb. 42 (1935), 199–216. (in Russian).
Cannon, J.R.: The one-dimensional heat equation, Addison-Wesley, 1984.
Ronkin, L.I.: Introduction to the theory of entire functions of several variables, Transl. Math. Mon., 44, Amer. Math. Soc, 1974 (translated from the Russian).
Procesi, C.: Rings with polynomial identities, M. Dekker, 1973.
Jacobson, N.: Structure of rings, Amer. Math. Soc, 1956.
Herstein, I.: Noncommutative rings, Math. Assoc. Amer., 1968.
Cohn, P.M.: Universal algebra, Reidel, 1981.
Shirshov, A.I.: ‘On rings with identity relations’, Mat. Sb. 43 (85), no. 2 (1957), 277–283 (in Russian).
Kostrikin, A.I.: ‘On Burnside’s problem’, Izv. Akad Nauk SSSR Ser. Mat. 3, no. 1 (1959), 3–34 (in Russian).
Higman, G.: ‘On a conjecture of Nagata’, Proc. Cambridge Philos. Soc. (1) 52 (1956), 1–4.
Higgins, P.J.: ‘Lie rings satisfying the Engel condition’, Proc. Cambridge Philos. Soc. (1) 50 (1954), 8–15.
Kemer, A.R.: ‘Solution of the problem as to whether associative algebras have a finite basis of identities’, Soviet Math. Dokl. 37 (1988), 60–64. (Dokl. Akad. Nauk SSSR 298 (1988), 273-277)
Rowen, L.H.: Polynomial identities in ring theory, Acad. Press, 1980.
Borwein, J.M. and Borwein, P.B.: Pi and the AGM, Interscience, 1987.
Beckmann, P.: A history of pi, The Golem Press, Boulder (Co.), 1971.
Stewart, I.: Galois theory, Chapman & Hall, 1979.
Mumford, D.: Lectures on curves on an algebraic surface, Princeton Univ. Press, 1966.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Artin, M.: ‘Algebraization of formal moduli I’ in Global Analysis. Papers in honor of K. Kodaira, Univ. Tokyo Press, 1969, pp. 21-77.
Chevalley, C.: ‘Sur la théorie de la variété de Picard’, Amer. J. Math. 82 (1960), 435–490.
Grothendieck, A.: ‘Technique de déscente et théorèmes d’existence en géométrie algébrique. V. Les schémas de Picard. Théorèmes d’existence’, Sém. Bourbaki 14 (1962), 232/01-232/19.
Grothendieck, A.: ‘Eléments de géométrie algébrique. I Le langage des schémas’, Publ. Math. IHES, no. 4 (1960), 1-228.
Mumford, D.: Lectures on curves on an algebraic surface, Princeton Univ. Press, 1966.
Oort, F.: ‘Algebraic group schemes in character zero are reduced’, Invent. Math. 2, no. 1 (1966), 79–80.
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)
Grothendieck, A.: Fondements de la géométrie algébrique, Secr. Math. Univ. Paris, 1961/62.
Altman, A. and Kleiman, S.: ‘Compactification of the Picard scheme I’, Adv. in Math. 35 (1980), 50–112.
Altman, A. and Kleiman, S.: ‘Compactification of the Picard scheme II’, Amer. J. Math. 101 (1979), 10–41.
Murre, J.P.: ‘On contravariant functors from the category of preschemes over a field into the category of abelian groups (with an application to the Picard functor)’, Publ. Math. IHES 23 (1964), 581–619.
Oort, F.: ‘Sur le schéma de Picard’, Bull. Soc. Math. France 90 (1962), 1–14.
Picard, H.: ‘Sur une propriété des fonctions entières’, C.R. Acad. Sci. Paris 88 (1879), 1024–1027.
Picard, E.: ‘Sur les fonctions entières’, C.R. Acad. Sci. Paris 89 (1879), 662–665.
Picard, E.: ‘Mémoire sur les fonctions entières’, Ann. Ecole Norm. Sup. 9 (1880), 145–166.
Shabat, B.V.: Introduction to complex analysis, 1-2, Moscow, 1976 (in Russian).
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Lohwater, A.: ‘The boundary behaviour of analytic functions’, Itogi Nauk. i Tekhn. Mat. Anal. 10 (1973), 99–259 (in Russian).
Griffiths, P. and King, J.: ‘Nevanlinna theory and holomorphic mappings between algebraic varieties’, Acta Math. 130 (1973), 145–220.
Picard, E.: ‘Démonstration d’un théorème général sur les fonctions uniformes liées par une équation algébrique’, Acta Math. 11 (1887-1888), 1–12.
Shabat, B.V.: Distribution of values of holomorphic mappings, Amer. Math. Soc, 1987 (translated from the Russian).
Conway, J.B.: Functions of one complex variables, Springer, 1978.
Griffiths, P.: Entire holomorphic mappings in one and several complex variables, Ann. of Math. Studies, 85, Princeton Univ. Press, 1976.
Picard, E.: ‘Sur les intégrales de différentielles totales algébriques’, C.R. Acad Sci. Paris 99 (1884), 961–963.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Mumford, D.: Abelian varieties, Oxford Univ. Press, 1974.
Griffiths, P. and Harris, J.: Principles of algebraic geometry, Wiley, 1978.
Chevalley, C.: ‘Sur la théorie de la variété de Picard’, Amer. J. Math. 82 (1960), 435–490.
Igusa, J.-I.: ‘On some problems in abstract algebraic geometry’, Proc. Nat. Acad Sci. USA 41, no. 11 (1955), 964–967.
Matsusaka, T.: ‘On the algebraic construction of the Picard variety I’, Jap. J. Math. 21, no. 2 (1951), 217–235.
Seshadri, C.: ‘Variété de Picard d’une variété complète’, Ann. Mat. Pura Appl. 57 (1962), 117–142.
Seshadri, G: ‘Universal property of the Picard variety of a complete variety’, Math. Ann. 158, no. 3 (1965), 293–296.
Lang, S.: Abelian varieties, Springer, 1983.
Rosenlicht, M.: ‘Generalized Jacobian varieties’, Ann. of Math. 59 (1954), 505–530.
Oort, F.: ‘A construction of generalized Jacobian varieties by group extensions’, Math. Ann. 147 (1962), 277–286.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Oort, F.: ‘Sur le schéma de Picard’, Bull. Soc. Math. France 90 (1962), 1–14.
Pick, G.: ‘Ueber eine Eigenschaft der konformen Abbildung kreisförmiger Bereiche’, Math. Ann. 77 (1916), 1–6.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc, 1969 (translated from the Russian).
Carathéodory, C.: Conformai representation, Cambridge Univ. Press, 1952.
Garnett, J.B.: Bounded analytic functions, Acad. Press, 1981.
Ahlfors, L.V.: Conformai invariants, topics in geometric function theory, McGraw-Hill, 1973.
Lang, S.: Introduction to complex hyperbolic spaces, Springer, 1987.
Rourke, C.P. and Sanderson, B.J.: Introduction to piecewiselinear topology, Springer, 1972.
Munkres, J.R.: ‘Elementary differential topology’, in J. Milnor and J. Stasheff (eds.): Characteristic classes, Princeton Univ. Press, 1974, pp. 270-359.
Milnor, J.: Two complexes which are homeomorphic but combinatorially distinct’, Ann. of Math. 74 (1961), 575–590.
Alexander, J.W.: ‘Combinatorial analysis situs’, Trans. Amer. Math. Soc. 28 (1926), 301–329.
Markov, A.A.: ‘The unsolvability of the homeomorphism problem’, Dokl. Akad. Nauk SSSR 121, no. 2 (1958), 218–220 (in Russian).
Kirby, R. and Siebenmann, L.: ‘On the triangulation of manifolds and the Hauptvermutung’, Bull. Amer. Math. Soc. 75 (1969), 742–749.
Edwards, R.D.: The double suspension of a certain homology 3-sphere in S 5’. Notices Amer. Math. Soc. 22, no. 2 (1975), A–334.
Cannon, J.W.: ‘Shrinking cell-like decompositions of manifolds. Codimension three’, Ann. of Math. 10 (1979), 83–112.
Stallings, J.R.: Lectures on polyhedral topology, Tata Inst. Fundam. Research, 1967.
Zeeman, E.C.: Seminar on combinatorial topology, IHES, 1963.
Kirby, R.C. and Siebenmann, L.C.: Foundational essays on topological manifolds, smoothings, and triangulations, Princeton Univ. Press, 1977.
Pierpont, J.: Lectures on the theory of functions of real variables, 1, Dover, reprint, 1959.
Hahn, H.: Reellen Funktionen, 1, Chelsea, reprint, 1948.
Pitman, E.J.: ‘The estimation of the location and scale parameters of a continuous population of any given form’, Biometrika 30 (1939), 391–421.
Girshick, M.A. and Savage, L.J.: ‘Bayes and minimax estimates for quadratic loss functions’, in J. Neyman (ed.): Proc. Second Berkeley Symp. Math. Statist. Prob., Univ. Calif. Press, 1951, pp. 53-73.
Zachs, S.: The theory of statistical inference, Wiley, 1971.
Lang, S.: Algebra, Addison-Wesley, 1984.
Cohn, P.M.: Algebra, 2, Wiley, 1977, Chapt. 9.
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, 1-2, Graylock, 1957–1961 (translated from the Russian).
Naimark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Flensted-Jensen, M.: Analysis on non-Riemannian symmetric spaces, Amer. Math. Soc, 1986.
Reiter, H.: Classical harmonic analysis and locally compact groups, Clarendon Press, 1968.
Dixmier, J.: C algebras, North-Holland, 1977 (translated from the French).
Hewitt, E. and Ross, K.A.: Abstract harmonic analysis, 2, Springer, 1979.
Zygmund, A.: Trigonometric series, 2, Cambridge Univ. Press, 1988.
Titchmarsh, E.C.: Introduction to the theory of Fourier integrals, Oxford Univ. Press, 1948.
Bochner, S.: Lectures on Fourier integrals, Princeton Univ. Press, 1959 (translated from the German).
Rudin, W.: Fourier analysis on groups, Wiley, 1962.
Weil, A.: l’Intégration dans les groupes topologiques et ses applications, Hermann, 1940.
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Hewitt, E. and Ross, K.A.: Abstract harmonic analysis, 1-2, Springer, 1979.
Reiter, H.: Classical harmonic analysis and locally compact groups, Oxford Univ. Press, 1968.
Schiff, L.I.: Quantum mechanics, McGraw-Hill, 1968.
Messiah, A.: Quantum mechanics, Ml, North-Holland, 1961.
Taylor, Th.T.:” Mechanics: classical and quantum, Pergamon, 1976, p. 124ff.
Hilbert, D.: Grundlagen der Geometrie, Teubner, reprint, 1962.
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
The principles of geometry, Moscow, 1956 (in Russian).
Bachmann, F.: Aufbau der Geometrie aus dem Spiegelungsbegriff Springer, reprint, 1973.
Doneddu, A.: Geometrie euclidienne plane, Dunod, 1965.
Rozenfel’d, B.A.: Multi-dimensional spaces, Moscow, 1966 (in Russian).
Dembowski, P.: Finite geometries, Springer, 1968.
Pickert, G.: Projektive Ebenen, Springer, reprint, 1975.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969.
Coxeter, H.S.M.: Projective geometry, Univ. Toronto Press, 1974.
Walker, R.J.: Algebraic curves, Springer, 1978.
Smogorzhevskiĭ, A.S. and Stolova, E.S.: Handbook of the theory of planar curves of the third order, Moscow, 1961 (in Russian).
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Brieskorn, E. and Knörrer, H.: Plane algebraic curves, Birkhäuser, 1986 (translated from the German).
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969, pp. 3-23.
Coxeter, H.S.M. and Greitzer, S.L.: Geometry revisited, Random House, 1967.
Berger, M.: Geometry, 2, Springer, 1987, Chapt. 10 (translated from the French).
Delone, B.N.: Theory of planigons’, Izv. Akad. Nauk SSSR Ser. Mat. 23, no. 3 (1959), 365–386 (in Russian).
Delone, B.N., Dolbilin, N.P. and Shtogrin, M.I.: ‘Combinatorial and metric theory of planigons’, Proc. Steklov Inst. Math. 148 (1978), 111–142. (Trudy Mat. Inst. Steklov. 148 (1978), 109-140)
Symmetry patterns, Moscow, 1980 (in Russian; translated from the English).
Grünbaum, B. and Shephard, G.C.: Tilings and patterns, Freeman, 1986.
Dress, A. and Huson, D.: ‘On tilings of the plane’, Geom. Ded. 24 (1987), 295–310.
Dress, A.: ‘Presentations of discrete groups in terms of parametrized Coxeter matrices-A systematic approach’, Adv. Math. 63 (1987), 196–212.
Weyl, H.: Symmetry, Princeton Univ. Press, 1952.
Il’yushin, A.A.: Plasticity: principles of the general mathematical theory, Moscow, 1963 (in Russian).
Il’yushin, A.A. and Lenskiĭ, V.S.: ‘A model and algorithm’, Prikladn. Probl. Prochnost. i Plastichnost. 1 (1975) (in Russian).
Il’yushin, A.A.: ‘Plasticity’, in Elastoplastic strains, Vol. 1, Moscow-Leningrad, 1948 (in Russian).
Birger, I.A.: ‘Some general solution methods for problems in plasticity theory’, Prikl. Mat. Mekh. 15, no. 6 (1951), 765–770 (in Russian).
Moskvitin, V.V.: Plasticity with variable loads, Moscow, 1965 (in Russian).
Koiter, W.T.: ‘General theorems for elastic-plastic media’, in I.N. Sneddon and R. Hill (eds.): Progress in Solid Mechanics, Vol. 1, North-Holland & Interscience, 1960, pp. 167-224.
Sokolovskiĭ, V.V.: Theorie der Plastizität, Deutsch. Verlag Wissenschaft., 1955 (translated from the Russian).
Hill, R.: The mathematical theory of plasticity, Oxford Univ. Press, 1950.
Rakhmatulin, Kh.A. and Dem’yanov, Yu.A.: Strength under intense short loading, Moscow, 1961 (in Russian).
Vasin, R.A., Lenskiĭ, V.S. and Lenskiĭ, E.V.: ‘Dynamic relations between stress and deformation’, in Problems in the dynamics of elastoplastic media, Moscow, 1975 (in Russian).
Truesdell, C.: A first course in rational continuum mechanics, Acad. Press, 1977.
Lenskiĭ, V.S.: ‘Experimental corroboration of basic postulates of a general theory of elastic-plastic strains’, in Problems of the Theory of Plasticity, Moscow, 1961, pp. 58-82 (in Russian).
Lenskiĭ, V.S. and Lenskiĭ, E.V.: ‘Trinomial relation in the general theory of plasticity’, Mekh. Tverd. Tela 4 (1985), 111–115 (in Russian).
Dao Zuy Bic: ‘On the uniqueness theorem in the theory of plasticity based on the hypothesis of local determinability’, Mekh. Tverd. Tela 1 (1982), 119–124 (in Russian).
Prager, W. and Hodge, P.G.: Theory of perfectly plastic solids, Wiley, 1951.
Reckling, K.A.: Plastizitätstheorie und ihre Anwendung auf Festigkeitsprobleme, Springer, 1967.
Hoffman, O. and Sachs, G.: Introduction to the theory of plasticity for engineers, McGraw-Hill, 1953.
Kachanov, L.M.: Fundamentals of the theory of plasticity, North-Holland, 1971 (translated from the Russian).
Encyklopädie der mathematischen Wissenschaften, 2/3, Teubner, 1903.
Darboux, G.: Leçons sur la theorie générale des surfaces et ses applications géométriques du calcul infinitesimal, 1, Gauthier-Villars, 1887.
Bianchi, L.: Vorlesungen über Differentialgeometrie, Teubner, 1910 (translated from the Italian).
Courant, R.: Dirichlet’s principle, conformai mapping, and minimal surfaces, Interscience, 1950.
Morrey, C.: ‘The problem of Plateau on a Riemannian manifold’, Ann. of Math. 49, no. 4 (1948), 807–851.
Rado, T.: On the problem of Plateau, Chelsea, reprint, 1951.
Nitsche, J.C.C.: ‘On new results in the theory of minimal surfaces’, Bull. Amer. Math. Soc. 71 (1965), 195–270.
Osserman, R.: ‘A proof of the regularity everywhere of the classical solution of Plateau’s problem’, Ann. of Math. (2) 91 (1970), 550–569.
Fomenko, A.T.: ‘Minimal compacta in Riemannian manifolds and Reĭfenberg’s conjecture’, Math. USSR Izv. 6 (1972), 1037–1066. (Izv. Akad. Nauk SSSR Ser. Mat. 36, no. 5 (1972), 1049-1079)
Nitsche, J.C.C.: ‘The boundary behaviour of minimal surfaces. Kellog’s theorem and branch points on the boundary’, Invent. Math. 8, no. 4 (1969), 313–333.
Osserman, R.: A survey of minimal surfaces, v. Nostrand Reinhold, 1969.
Federer, H.: Geometric measure theory, Springer, 1969.
Morrey, C.: Multiple integrals in the calculus of variations, Springer, 1966.
Fomenko, A.T. and Dao Chong Tkhi: Minimal surfaces and Plateau’s problem, Amer. Math. Soc., Forthcoming (translated from the Russian).
Struwe, M.: Plateau’s problem and the calculus of variations, Princeton Univ. Press, 1988.
Nitsche, J.C.C.: Vorlesungen über Minimalflächen, Springer, 1975.
Morrey, C.: Multiple integrals in the calculus of variations, Springer, 1966.
Reifenberg, E.: ‘Solution of Plateau’s problem for m-dimensional surfaces of varying topological type’, Acta Math. 104, no. 1/2 (1960), 1–92.
Federer, H.: Geometric measure theory, Springer, 1969.
Almgren, F.J.: ‘Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure’, Ann. of Math. (2) 87, no. 2 (1968), 321–391.
Fomenko, A.T.: ‘The multidimensional Plateau problem in Riemannian manifolds’, Math. USSR Sb. 18, no. 3 (1972), 487–527. (Mat. Sb. 89, no. 3 (1972), 475-519)
Fomenko, A.T.: ‘Minimal compacta in Riemannian manifolds and Reifenberg’s conjecture’, Math. USSR Izv. 6, no. 5 (1972), 1037–1066. (Izv. Akad. Nauk SSSR Ser. Mat. 36, no. 5 (1972), 1049-1079)
Bombieri, E., Giorgi, E. de and Giusti, E.: ‘Minimal cones and the Bernstein problem’, Invent. Math. 7, no. 3 (1969), 243–268.
Simons, J.: ‘Minimal varieties in Riemannian manifolds’, Ann. of Math. 88, no. 1 (1968), 62–105.
Lawson, H.: ‘The equivalent Plateau problem and interior regularity’, Trans. Amer. Math. Soc. 173, no. 446 (1972), 231–249.
Lawson, H. and Simons, J. ‘R’On stable currents and their application to global problems in real and complex geometry’, Ann. of Math. 98, no. 3 (1973), 427–450.
Fomenko, A.T.: ‘Bott periodicity from the point of view of an-dimensional Dirichlet functional’, Math. USSR Izv. 5, no. 3 (1971), 681–695. (Izv. Akad. Nauk SSSR Ser. Mat. 35, no. 3 (1971), 667-681)
Dao Chong Tkhi: ‘Multivarifolds and classical multidimensional Plateau problems’, Math. USSR Izv. 17 (1981), 271–298. (Izv. Akad. Nauk SSSR Ser. Mat. 44, no. 5 (1980), 1031-1065)
Fomenko, A.T.: ‘Multidimensional Plateau problem in Riemannian manifolds and extraordinary homology and cohomology theories I’, in Proc. Sem. Vektor. Tenzor. Anal., Vol. 17, 1974, pp. 3–176 (in Russian).
Fomenko, A.T.: ‘Multidimensional Plateau problem in Riemannian manifolds and extraordinary homology and cohomology theories II’, in Proc. Sem. Vektor. Tenzor. Anal., Vol. 18, 1978, pp. 4–93 (in Russian).
Dao Chong Tkhi: ‘On the stability of the homology of compact Riemannian manifolds’, Math. USSR Izv. 12 (1978), 463–468. (Izv. Akad. Nauk SSSR Ser. Mat. 42, no. 3 (1978), 500-505)
Fomenko, A.T.: ‘Multi-dimensional variational methods in the topology of extremals’, Russian Math. Surveys 36, no. 6 (1981), 127–165. (Uspekhi Mat. Nauk 36, no. 6 (1981), 125-169)
Hsiang, W.Y. and Lawson, H.B.: ‘Minimal submanifolds of low cohomogenety’, J. Diff. Geom. 5, no. 1 (1971), 1–38.
Brothers, J.E.: ‘Invariance of solutions to invariant parametric variational problems’, Trans. Amer. Math. Soc. 262, no. 1 (1980), 159–180.
Harvey, R. and Lawson, H.B.: ‘On boundaries of complex analytic varieties I’, Ann. of Math. 102 (1975), 233–290.
Harvey, R. and Lawson, H.B.: ‘On boundaries of complex analytic varieties II’, Ann. of Math. 106 (1977), 213–238.
Harvey, R. and Lawson, H.B.: ‘Calibrated geometries’, Acta Math. 148 (1982), 47–157.
Yau, S.S.-T.: ‘Kohn —Rossi cohomology and its application to the complex Plateau problem’, Ann. of Math. 113, no. 1 (1981), 67–110.
Meeks, W.H. and Yau, S.S.-T.: ‘The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Dehn’s lemma’, Topology 21, no. 4 (1982), 409–442.
Fomenko, A.T.: Plateau problem, 1-2, Gordon & Breach, 1990 (translated from the Russian).
Fomenko, A.T.: Variational principles in topology — Multidimensional minimal surface theory, Kluwer, 1990 (translated from the Russian).
Giusti, E.: Minimal surfaces and functions of bounded variation, Birkhäuser, 1984.
Fomenko, A.T. and Dao Chong Tkhi: Minimal surfaces and Plateau’s problem, Amer. Math. Soc, Forthcoming (translated from the Russian).
Stolzenberg, G.: Volumes, limits, and extensions of analytic varieties, Springer, 1966.
Chirka, E.M.: Complex analytic sets, Kluwer, 1989, § 19 (translated from the Russian).
Coxeter, H.S.M.: Regular polytopes, MacMillan, 1963.
Hilbert, D. and Cohn-Vossen, S.: Geometry and the imagination, Chelsea, reprint, 1952, p. 90ff (translated from the German).
Plessner, A.I.: ‘Über das Verhalten analytischer Funktionen auf dem Rande des Definitionsbereiches’, J. Reine Angew. Math. 158 (1928), 219–227.
Priwalow, I.I. [I.I. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Lohwater, A.J.: ‘The boundary behaviour of analytic functions’, Itogi Nauk. i Tekhn. Mat. Anal. 10 (1973), 99–259
Rudin, W.: Function theory in the unit ball of Cn, Springer, 1981.
Tsuji, M.: Potential theory in modern function theory, Chelsea, reprint, 1975.
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Noshiro, K.: Cluster sets, Springer, 1960.
The universal programming language PL/I, IBM Library, 1966.
Scott, R. and Sondac, N.: PL/I for programmers, Addison-Wesley, 1970.
Programming in PL/I OS ES, Moscow, 1979 (in Russian).
Bukhtiyarov, A.M., Frolov, G.D. and Olyunin, V.Yu.: Collection of problems in PL/I programming, Moscow, 1978 (in Russian).
American National Standard programming language PL/I, X3.53-1976, ANSI, 1976.
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1965, pp. 88-90.
Waerden, B.L. van der: Einführung in die algebraische Geometrie, Springer, 1939, Chapt. 1.
Berzolari, L.: ‘Algebraische Transformationen und Korrespondenzen’, in Enzyklopädie der mathematischen Wissenschaften, Vol. 3, Teubner, 1906, pp. 1787-2218.
Griffiths, P.A. and Harris, J.E.: Principles of algebraic geometry, Wiley, 1978.
Kleiman, S.L.: The enumerative theory of singularities’, in Real and complex singularities. Proc. Nordic Summer School Oslo 5-25 Aug. 1976, Sythoff & Noordhoff, 1977, pp. 297-396.
Plücker, J.: Neue Geometrie des Raumes gegründet auf die Betrachtung der geraden Linie als Raumelement, Teubner, 1868.
Rozenfel’d, B.A.: Non-Euclidean geometry, Moscow, 1955 (in Russian).
Klein, F.: Vorlesungen über höhere Geometrie, Springer, 1926.
Hirschfeld, J.W.P.: Finite projective spaces of three dimensions, Oxford Univ. Press, 1985.
Waerden, B.L. van der: Einführung in die algebraische Geometrie, Springer, 1939.
Sommerville, D.M.Y.: Analytical geometry of three dimensions, Cambridge Univ. Press, 1934.
Shabat, B.V.: Introduction to complex analysis, 2, Moscow, 1985 (in Russian).
Solomentsev, E.D.: ‘Harmonic and subharmonic functions and their generalizations’, Itogi Nauk. Mat. Anal. Teor. Veroy-atnost. Regulirovanie (1964), 83-100 (in Russian).
Rudin, W.: Function theory in polydiscs, Benjamin, 1969.
Rudin, W.: Function theory in the unit ball of Cn, Springer, 1980.
Vladimirov, V.S.: Methods of the theory of many complex variables, M.I.T, 1966 (translated from the Russian).
Gunning, R.C. and Rossi, H.: Analytic functions of several complex variables, Prentice-Hall, 1965.
Lelong, P.: ‘Fonctions plurisousharmonique; mesures de Radon associées. Applications aux fonctions analytiques’, in Colloque sur les fonctions de plusieurs variables, Brussels 1953, G. Thone & Masson, 1953, pp. 21-40.
Bremermann, H.J.: ‘Complex convexity’, Trans. Amer. Math. Soc. 82 (1956), 17–51.
Bremermann, HJ.: ‘On the conjecture of the equivalence of the plurisubharmonic functions and the Hartogs functions’, Math. Ann. 131 (1956), 76–86.
Bremermann, HJ.: ‘Note on plurisubharmonic and Hartogs functions’, Proc. Amer. Math. Soc. 7 (1956), 771–775.
Solomentsev, E.D.: ‘Harmonic and subharmonic functions and their generalizations’, Itogi Nauk. Mat. Anal. Teor. Veroyatnost. Regulirovanie (1964), 83-100 (in Russian).
Gamelin, T.W.: Uniform algebras and Jensen measures, Cambridge Univ. Press, 1979, Chapts. 5; 6.
Lelong, P. and Gruman, L.: Entire functions of several complex variables, Springer, 1980.
Ronkin, L.I.: Inroduction to the theory of entire functions of several variables, Amer. Math. Soc, 1974 (translated from the Russian).
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986.
Chirka, E.M.: Complex analytic sets, Kluwer, 1989, p. 292ff (translated from the Russian).
Pochhammer, L.: ‘Ueber ein Integral mit doppeltem Umlauf’, Math. Ann. 35 (1889), 470–494.
Jordan, C.: Cours d’analyse de l’Ecole Polytechn., 3, Gauthier-Villars, 1915.
Ince, E.L.: Ordinary differential equations, Dover, reprint, 1956.
Kamke, E.: Handbuch der gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Enzyklopädie der Elementarmathematik, 4. Geometrie, Deutsch. Verlag Wissenschaft, 1967 (translated from the Russian).
Poincaré, H.: ‘Mémoire sur les courbes définies par une équation différentielle’, J. de Math. 7 (1881), 375–422.
Poincaré, H.: ‘Mémoire sur les courbes définies par une équation différentielle’, J. de Math. 8 (1882), 251–296.
Poincaré, H.: ‘Mémoire sur les courbes définies par une équation différentielle’, J. de Math. 1 (1885), 167–244.
Poincaré, H.: ‘Mémoire sur les courbes définies par une équation différentielle’, J. de Math. 2 (1886), 151–217.
Bendixson, I.: ‘Sur les courbes définiés par des équations différentielles’, Acta Math. 24 (1901), 1–88.
Brouwer, L.E.J.: ‘On continuous vector distributions’, Verhand. K. Ned. Akad. Wet. Afd. Nat. I. Reeks 11 (1909), 850–858.
Brouwer, L.E.J.: ‘On continuous vector distributions’, Verhand. K. Ned. Akad. Wet. Afs. Nat. I. Reeks 12 (1910), 716–734.
Brouwer, L.E.J.: ‘On continuous vector distributions’, Verhand K. Ned Akad. Wet. Afd. Nat. I. Reeks 13 (1910), 171–186.
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
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).
Whitney, H.: ‘Regular families of curves’, Ann. of Math. 34, no. 2 (1933), 244–270.
Nemytskiĭ, V.V.: ‘A structure of one-dimensional limit integral manifolds on the plane and in three-dimensional space’, Vestn. Moskov. Univ., no. 10 (1948), 49-61 (in Russian).
Beck, A.: Continuous flows in the plane, Springer, 1974.
Gutierrez, C.: ‘Smoothing continuous flows on two-manifolds and recurrences’, Ergod. Th. & Dynam. Sys. 6 (1986), 17–44.
Hajek, O.: Dynamical systems in the plane, Acad. Press, 1968.
Lam, P.-F.: ‘Inverses of recurrent and periodic points under homomorphisms of dynamical systems’, Math. Syst. Theory 6 (1972), 26–36.
Markley, N.G.: ‘The Poincaré-Bendixson theorem for the Klein bottle’, Trans. Amer. Math. Soc. 135 (1969), 159–165.
Schwartz, A.J.: ‘A generalization of a Poincaré-Bendixson theorem to closed two-dimensional manifolds’, Amer. J. Math. 85 (1963), 453–458.
Poincaré, H.: Les méthodes nouvelles de la mécanique céleste, 3, Gauthier-Villars, 1899.
Bertrand, G.: ‘Equations de Fredholm à intégrales principales au sens de Cauchy’, C.R. Acad. Sci. Paris 172 (1921), 1458–1461.
Bertrand, G.: ‘La théorie des marées et les équations intégrales’, Ann. Sci. Ecole Norm. Sup. 40 (1923), 151–258.
Muskhelishvili, N.I.: Singular integral equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Khvedelidze, B.V.: ‘Some properties of singular integrals in the sense of the Cauchy — Lebesgue principal value’, Soobsh. Akad Nauk. GruzSSR 8, no. 5 (1947), 283–290 (in Russian).
Khvedelidze, B.V.: ‘The method of Cauchy-type integrals in the discontinuous boundary-value problems of the theory of holomorphic functions of a complex variable’, J. Soviet Math. 1, no. 3 (1977), 309–415. (Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 7 (1975), 5-162)
Hardy, G.H.: ‘The theory of Cauchy’s principal values’, Proc. London Math. Soc. 7, no. 2 (1909), 181–208.
Tricomi, F.: ‘Equazioni integrali contenenti il valor principale doppio’, Math. Z. 27 (1928), 87–133.
Giraud, G.: ‘Sur une classe générale d’équations à intégrales principales’, C.R. Acad. Sci. Paris 202, no. 26 (1936), 2124–2127.
Giraud, G.: ‘Equations à intégrales principales; étude suivie d’une application’, Ann. Sci. Ecole Norm. Sup. 51, no. 3-4 (1934), 251–372.
Mikhlin, S.G.: ‘Singular integral equations’, Uspekhi Mat. Nauk 3, no. 3 (1948), 29–112 (in Russian).
Mikhlin, S.G.: Multidimensional singular integrals and integral equations, Pergamon, 1965 (translated from the Russian).
Wall, C.T.C.: ‘Surgery of non-simply-connected manifolds’, Ann. of Math. (2) 84 (1966), 217–276.
Wall, C.T.C.: Surgery on compact manifolds, Acad. Press, 1970.
Smale, S.: ‘Generalized Poincaré’s conjecture in dimensions greater than four’, Ann. of Math. (2) 74 (1961), 199–206.
Smale, S.: ‘On the structure of manifolds’, Amer. J. Math. 84 (1962), 387–399.
Stallings, J.R.: ‘Polyhedral homotopy-spheres’, Bull. Amer. Math. Soc. 66 (1960), 485–488.
Freedman, M.H.: ‘The topology of four-dimensional manifolds’, J. Diff. Geometry 17 (1982), 357–453.
Dieudonné, J.: A history of algebraic and differential topology, Birkhäuser, 1989.
Andreotti, A. and Mayer, A.: ‘On period relations for abelian integrals on algebraic curves’, Ann. Sci. Scuola Norm. Sup. Pisa 21, no. 2 (1967), 189–238.
Griffiths, P. and Harris, J.: Principles of algebraic geometry, Wiley (Interscience), 1978.
Mumford, D.: Curves and their Jacobians, Univ. Michigan Press, 1975.
Arbarello, E., Cornalba, M., Griffiths, P. and Harris, J.: Geometry of algebraic curves, 1, Springer, 1985.
Arbarello, E.: ‘Fay’s triscant formula and a characterisation of Jacobian varieties’, in S.J. Bloch (ed.): Algebraic Geometry (Bowdoin, 1985), Proc. Symp. Pure Math., Vol. 46, Amer. Math. Soc, 1987, pp. 49-61.
Gunning, R.C.: ‘On theta functions for Jacobi varieties’, in S.J. Bloch (ed.): Algebraic Geometry (Bowdoin, 1985), Proc. Symp. Pure Math., Vol. 46, Amer. Math. Soc, 1987, pp. 89-98.
Sklyarenko, E.G.: ‘Homology and cohomology of general spaces’, Itogi Nauk. i Tekhn. Sovr. Probl. Mat. 50 (1989), Chapt. 8.
Sklyarenko, E.G.: ‘Poincaré duality and relations between the functors Ext and Tor’, Math. Notes 28, no. 5 (1980), 841–845. (Mat. Zametki 28, no. 5 (1980), 769-776)
Massey, W.: Homology and cohomology theory, M. Dekker, 1978.
Dold, A.: Lectures on algebraic topology, Springer, 1972, Sect. VIII.8.1.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966, Sect. 6.2.
Bott, R. and Tu, L.W.: Differential forms in algebraic topology, Springer, 1982, Chapt. I, Sect. 5.
Switzer, R.M.: Algebraic topology-homotopy and homology, Springer, 1975, p. 316.
Poincaré, H.: Oeuvres, Vol. 1, Gauthier-Villars, 1951, pp. UL-CXXXII.
Dulac, H.: ‘Recherches sur les points singuliers des equations différentielles’, J. Ecole Polytechn. Ser. II 9 (1904), 1–25.
Chen, K.-T.: ‘Equivalence and decomposition of vectorfields about an elementary critical point’, Amer. J. Math. 85 (1963), 693–722.
Bruhat, F.: ‘Travaux de Sternberg’, Sém. Bourbaki 13 (1960-1961), Exp. 2187.
Sternberg, S.: ‘On the structure of a local homeomorphism’, Amer. J. Math. 80 (1958), 623–631.
Nagumo, M. and Isé, K.: ‘On the normal forms of differential equations in the neighbourhood of an equilibrium point’, Osaka Math. J. 9 (1957), 221–234.
Hartman, P.: ‘On the local linearization of differential equations’, Proc. Amer. Math. Soc. 14 (1963), 568–573.
Arnal, D., Ben Ammar, M. and Pinczon, G.: The Poincaré-Dulac theorem for nonlinear representations of nilpotent Lie algebras’, Lett. Math. Phys. 8 (1984), 467–476.
Arnol’d, V.I.: Geometric methods in the theory of ordinary differential equations, Springer, 1977, Chapt. V (translated from the Russian).
Bryuno, A.D.: ‘Analytic forms of differential equations’, Trans. Moscow Math. Soc. 25 (1971), 131–288. (Trudy Moskov. Mat. Obshch. 25 (1971), 119-262)
Hunt, L.R. and Su, R.: ‘Linear equivalents of nonlinear time-varying systems’, in Internat. Symp. Math. Th. Networks and Systems Santa Monica, 1983, Vol. 4, Western Periodicals, 1981, pp. 119-123.
Jakubczyk, B. and Respondek, W.: ‘On the linearization of control systems’, Bull. Acad. Polon. Sci. Ser. Math. Astron. Phys. 28 (1980), 517–522.
Livingston, E.S. and Elliott, D.L.: ‘Linearization of families of vectorfields’, J. Diff. Equations 55 (1984), 289–299.
Poincaré, H.: C.R. Acad. Sci. Paris 132 (1901), 369–371.
Poincaré, H.: Bull. Astron. 27 (1910), 321–356.
Chetaev, N.G.: Dokl. Akad. Nauk SSSR 7 (1928), 103–104.
Chetaev, N.G.: ‘Sur les équations de Poincaré’, C.R. Acad. Sci. Paris 185 (1927), 1577–1578.
Chetaev, N.G.: Prikl. Mat. i. Mekh. 5, no. 2 (1941), 253–262.
Rühl, W.: The Lorentz group and harmonie analysis, Benjamin, 1970.
Barut, A.O. and Raczka, R.: Theory of group representations and applications, PWN, 1977, Chapt. 17.
Poincaré, H.: ‘Sur un théorème de géométrie’, Rend. Cire. Mat. Palermo 33 (1912), 375–407.
Birkhoff, G.: ‘Proof of Poincaré’s geometric theorem’, Trans. Amer. Math. Soc. 14 (1913), 14–22.
Pars, L.A.: A treatise on analytical dynamics, Heinemann, London, 1965.
Arnold, V.I. and Avez, A.: Problèmes ergodiques de la mécanique classique, Gauthier-Villars, 1967.
Birkhoff, G.D.: Dynamical systems, Amer. Math. Soc., 1927.
Klein, F.: Elementary mathematics from a higher viewpoint, MacMillan, 1939 (translated from the German).
Kagan, V.F.: Lobachevskiĭ and his geometry, Moscow, 1955 (in Russian).
Hilbert, D. and Cohn-Vossen, S.: Geometry and the imagination, Chelsea, reprint, 1952 (translated from the German).
Poincaré, H.: Oeuvres, Gauthier-Villars, 1916–1956.
Nevanlinna, R.: Uniformisierung, Springer, 1967.
Sansone, G. and Gerretsen, J.: Lectures on the theory of functions of a complex variable, 2. Geometric theory, Wolters-Noordhoff, 1969.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969, p. 90, 303.
Coxeter, H.S.M.: ‘Parallel lines’, Canad. Math. Bull. 21 (1978), 385–397.
Coxeter, H.S.M. and Greitzer, S.L.: Geometry revisited, Random House, 1967.
Coxeter, H.M.S.: Non-Euclidean geometry, Univ. Toronto Press, 1957.
Greenberg, M.J.: Euclidean and non-Euclidean geometries, Freeman, 1974.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 7 (1881), 375–422.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 8 (1882), 251–296.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 1 (1885), 167–244.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 2 (1886), 151–217.
Tamura, I.: The topology of foliations, Moscow, 1979 (in Russian; translated from the Japanese).
Godbillion, C.: Géométrie différentielle et mécanique analytique, Hermann, 1969.
Abels, H.: ‘Parallelizability of proper actions, global K-slices and maximal compact subgroups’, Math. Ann. 212 (1974), 1–19.
Bhatia, N.P. and Szegö, G.P.: Stability of dynamical systems, Springer, 1970.
Hajek, O.: ‘Parallelizability revisited’, Proc. Amer. Math. Soc. 27 (1971), 77–84.
Hajek, O.: Dynamical systems in the plane, Acad. Press, 1968.
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Hector, G. and Hirsch, U.: Introduction to the geometry of foliations, Viehweg & Sons, 1981.
Poincaré, H.: Les méthodes nouvelles de la mécanique céleste, I, Gauthier-Villars, 1899.
Fried, D.: The geometry of cross-sections to flows’, Topology 21 (1982), 353–371.
Poincaré, H.: ‘Sur le problème des trois corps et les équations de la dynamique’, Acta. Math. 13 (1890), 1–270.
Poincaré, H.:’ sur le problème des trois corps et les équations de la dynamique’, in Oeuvres, Vol. XII, Gauthier-Villars, 1952, pp. 262-479 (in particular, p. 314).
Carathéodory, C.: ‘Ueber den Wiederkehrsatz von Poincaré’, Sitz. Ber. Preuss. Akad. Wiss. Berlin (1919), 580-584.
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Khinchin, A. Ya.: ‘Eine Verschärfung des Poincaréschen Wiederkehrsatzes’, Comp. Math. 1 (1934), 177–179.
Chetaev, N.G.: ‘Sur la stabilité à la Poisson’, C.R. Acad. Sci. Paris 187 (1928), 637–638.
Chetaev, N.G.: Uchen. Zap. Kazan. Univ. 89, no. 2 (1929), 199–201.
Krylov, N.N. and Bogolyubov, N.N.: ‘La théorie de la mesure dans son application à l’étude des systèmes dynamiques de la mécanique non-linéaire’, Ann. of Math. 38, no. 1 (1937), 65–113.
Halmos, P.R.: ‘Invariant measures’, Ann. of Math. 48 (1947), 735–754.
Kac, M.: ‘On the notion of recurrence in discrete stochastic processes’, Bull. Amer. Math. Soc. 53 (1947), 1002–1010.
Kakutani, S.: ‘Induced measure preserving transformations’, Proc. Japan. Acad. 19 (1943), 635–641.
Petersen, K.: Ergodic theory, Cambridge Univ. Press, 1983.
Browder, W.: Surgery on simply connected manifolds, Springer, 1972
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 7 (1881), 375–422.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 8 (1882), 251–296.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 1 (1885), 167–244.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 2 (1886), 151–217.
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).
Lefschetz, S.: Differential equations: geometric theory, Interscience, 1957.
Alexandroff, P. [P.S. Aleksandrov] and Hopf, H.: Topologie, Chelsea, reprint, 1972, Chapt. XIV, Sect. 4.3.
Hirsch, M.W.: Differential topology, Springer, 1976.
Young, D.M. and Gregory, R.T.: A survey of numerical mathematics, Dover, reprint, 1988, pp. 19-55.
Cramer, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Ibragimov, I.A. and Has’minskiĭ, R.Z. [R.Z. Khas’minskiĭ]: Statistical estimation: asymptotic theory, Springer, 1981 (translated from the Russian).
Lehmann, E.L.: Theory of point estimation, Wiley, 1983.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Hirsch, M.W.: Differential topology, Springer, 1976, p. 4, 78.
Chillingworth, D.R.J.: Differential topology with a view to applications, Pitman, 1976, p. 221ft.
Il’in, V.A. and Poznyak, E.G.: Fundamentals of mathematical analysis, 2, Mir, 1982 (translated from the Russian).
Kudryavtsev, L.D.: A course of mathematical analysis, 1, Moscow, 1981 (in Russian).
Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988 (translated from the French).
Coolidge, J.: Algebraic plane curves, Dover, reprint, 1959.
Arkhangel’skiI, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984, p. 86 (translated from the Russian).
Kelley, J.L.: General topology, Springer, 1975.
Arkhangel’skiĭ, A.V.: ‘A survey of C p -theory’, Questions & Answers in Gen. Topol. 5 (1987), 1–109.
Engelkino, R.: General topology, Heldermann, 1989.
Chandrasekhar, S.: Hydrodynamic and hydromagnetic stability, Dover, reprint, 1981, Chapt. VII.
Hughes, Th. J.R. and Marsden, J.E.: A short course on fluid mechanics, Publish or Perish, 1976, § 18.
Batchelor, G.K.: An introduction to fluid dynamics, Cambridge Univ. Press, 1967, p. 180ff.
Poisson, S.: J. Ecole Polytechn. 8 (1809), 266–344.
Jacobi, C.G.J.: ‘Nova methodus, aequationes differentiales partiales primi ordinis inter numurum variabilium quemcunque propositas integrandi’, J. Reine Angew. Math. 60 (1862), 1–181.
Whittaker, E.T.: Analytical dynamics of particles and rigid bodies, Dover, reprint, 1944.
Lur’e, A.I.: Analytical mechanics, Moscow, 1961 (in Russian).
Goldstein, H.: Classical mechanics, Addison-Wesley, 1957.
Newell, A.C.: Solitons in mathematical physics, SIAM, 1985.
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Abraham, R. and Marsden, J.E.: Foundations of mechanics, Benjamin, 1978.
Gantmacher, F.R. [F.R. Gantmakher]: Lectures in analytical mechanics, Mir, 1975 (translated from the Russian).
Poisson, S.D.: Récherches sur la probabilité des jugements en matière criminelle et en matière civile, Paris, 1837.
Feller, W.: An introduction to probability theory and its applications, 1-2, Wiley.
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. Kedrova.
Linnik, Yu.V. and Ostrovskiĭ, I.V.: Decomposition of random variables and vectors, Amer. Math. Soc, 1977 (translated from the Russian).
Johnson, N.L. and Kotz, S.: Distributions in statistics: discrete distributions, Houghton Mifflin, 1970.
Bitsadze, A.V.: Equations of mathematical physics, Mir, 1980 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Maeda, F.-Y.: Dirichlet integrals on harmonic spaces, Springer, 1980.
Poisson, S.D.: ‘Remarques sur une équation qui se présente dans la théorie des attractions des sphéroĭdes’, Nouveau Bull. Soc. Philomathique de Paris 3 (1813), 388–392.
Rudin, W.: Function theory in the unit ball of Cn, Springer, 1980.
Kellogg, O.D.: Foundations of potential theory, F. Ungar, 1929. Re-issue: Springer, 1967.
Godunov, S.K. and Ryaben’kiĭ, V.S.: The theory of difference schemes, North-Holland, 1964.
Ladyzhenskaya, O.A.: The boundary value problems of mathematical physics, Springer, 1986 (translated from the Russian).
Marchuk, G.I. and Shaidurov, V.V.: Difference methods and their extrapolations, Springer, 1983 (translated from the Russian).
Samarskiĭ, A.A. and Andreev, V.B.: Méthodes aux différences pour équations elliptiques, Mir, 1978 (translated from the Russian).
Mikhlin, S.G.: The numerical performance of variational methods, Wolters-Noordhoff, 1971 (translated from the Russian).
Krasnosel’skiĭ, M.A., et al.: Approximate solution of operator equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Aubin, J.P.: Approximation of elliptic boundary value problems, Wiley, 1972.
Strang, G. and Fix, J.: An analyse of the finite element method, Prentice-Hall, 1973.
Ciarlet, Ph. G.: The finite element method for elliptic problems, North-Holland, 1978.
Hackbusch, W.: Multigrid methods and applications, Springer, 1985.
D’yakonov, E.G.: Minimization of computational work. Asymptotically optimal algorithms for elliptic problems, Moscow, 1989 (in Russian).
Samarskiĭ, A.A. and Nikolaev, E.S.: Numerical methods for grid equations, 1-2, Birkhäuser, 1989 (translated from the Russian).
Glowinski, R., Golub, G.H., Meurant, G.A. and Periaux, J. (eds.): First Internat. Symp. Domain Decomposition Methods For Partial Diff. Eqs., SIAM, 1988.
Canuto, C, Hussaini, M.Y., Quarteroni, A. and Zang, T.A.: Spectral methods in fluid dynamics, Springer, 1988.
Banerjee, P.K. and Butterfield, R.: Boundary element methods in engineering science, McGraw-Hill, 1981.
Hackbusch, W. and Trottenberg, U.: Multigrid methods, Springer, 1982.
Mccormick, S.F.: Multigrid methods, SIAM, 1987.
Birkhoff, G. and Lynch, R.E.: Numerical solution of elliptic problems, SIAM, 1984.
Johnson, C.: Numerical solution of partial differential equations by the finite element method, Cambridge Univ. Press, 1987.
Smith, G.D.: Numerical solution of partial differential equations: finite difference method, Clarendon Press, 1978.
Mitchell, A.R. and Griffiths, D.F.: The finite difference method in partial differential equations, Wiley, 1980.
Mitchell, A.R. and Wait, R.: Finite element analysis and applications, Wiley, 1985.
Poisson, S.D.: Mém. Acad. Sci. Paris 3 (1818), 121–176.
Tikhonov, A.N. and Samarskiĭ, A.A.: Equations of mathematical physics, Pergamon, 1963 (translated from the Russian).
Vladimirov, V.S.: Equations of mathematical physics, Mir, 1984 (translated from the Russian).
Whitham, G.B.: Linear and nonlinear waves, Wiley-Interscience, 1974, p. 229ff.
Bitsadze, A.V.: Equations of mathematical physics, Mir, 1980, p. 179 (translated from the Russian).
Poisson, S.D.: J. Ecole R. Polytechn. 11 (1820), 295–341.
Poisson, S.D.: ‘Suite du mémoire sur les intégrales définiés et sur la sommation des séries’, J. Ecole R. Polytechn. 12 (1823), 404–509.
Schwarz, H.A.: ‘Ueber die Integration der partiellen Differentialgleichung ∂2u / ∂x2 + ∂2u / ∂y2 =0 für die Fläche eines Kreises’, Vierteljahrsschr. Naturforsch. Ges. Zurich 15 (1870), 113–128.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Tikhonov, A.N. and Samarskiĭ, A.A.: Equations of mathematical physics, Pergamon, 1963 (translated from the Russian).
Solomentsev, E.D.: ‘Harmonic and subharmonic functions and their generalizations’, Itogi Nauk. Mat. Anal. Teor. Veroyatnost. Regulirovanie. 1962 (1964), 83-100 (in Russian).
Rudin, W.: Function theory in poly discs, Benjamin, 1969.
Vladimirov, V.S.: Generalized functions in mathematical physics, Mir, 1979 (translated from the Russian).
Hua, Lo-Ken: Harmonic analysis of functions of several complex variables in the classical domains, Amer. Math. Soc, 1963 (translated from the Russian).
Stein, E.M. and Weiss, G.: Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, 1975.
Rudin, W.: Function theory in the unit ball of Cn, Springer, 1980.
Borovkov, A.A.: Wahrscheinlichkeitstheorie, Birkhäuser, 1976 (translated from the Russian).
Gikhman, I.I., Skorokhod, A.V. and Yadrenko, M.I.: Probability theory and mathematical statistics, Kiev, 1979 (in Russian).
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1971, Chapt. 1.
Cohen, J.W.: The single server queue, North-Holland, 1982.
Szekely, G.J.: Paradoxes in probability theory and mathematical statistics, Reidel, 1986.
Poincaré, H.: Les méthodes nouvelles de la mécanique céleste, 3, Gauthier-Villars, 1899, Chapt. 26.
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Oxtoby, J.: Measure and category, Springer, 1971.
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1988.
Titchmarsh, E.C.: Introduction to the theory of Fourier integrals, Oxford Univ. Press, 1948.
Poisson, S.: Récherches sur la probabilité des jugements en matière criminelle et en matière civile, Paris, 1837.
Loeve, M.: Probability theory, Springer, 1977.
Borovkov, A.A.: Wahrscheinlichkeitstheorie, Birkhäuser, 1976 (translated from the Russian).
Laha, R.G. and Rohatje, V.K.: Probability theory, Wiley, 1979.
Pollard, H.: ‘The Poisson transform’, Trans. Amer. Math. Soc. 78, no. 2 (1955), 541–550.
Vladimirov, V.S.: Generalized functions in mathematical physics, Moscow, 1976 (in Russian).
Efimov, N.V.: Higher geometry, Mir, 1980 (translated from the Russian).
Postnikov, M.M.: Analytic geometry, Moscow, 1973 (in Russian).
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1963.
Busemann, H. and Kelly, P.: Protective geometry and projective metrics, Acad. Press, 1953.
Coolidge, J.: Algebraic plane curves, Dover, reprint, 1959.
Edwards, R.: Functional analysis, Holt, Rinehart & Winston, 1965.
Köthe, G.: Topological vector spaces, 1, Springer, 1979 (translated from the German).
Schaeffer, H.H.: Topological vector spaces, Macmillan, 1966.
Jarchow, H.: Locally convex spaces, Teubner, 1981.
Korn, G. and Korn, T.: Mathematical handbook for scientists and engineers, McGraw-Hill, 1961.
Triebel, H.: Analysis and mathematical physics, Reidel, 1987, p. 103.
Rektorys, K.: Applicable mathematics, Iliffe, 1969, p. 216.
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Bognár, J.: ‘Certain relations among the non-negativity properties of operators on spaces with an indefinite metric II’, Stud. Scient. Math. Hung. 1, no. 1-2 (1966), 97–102 (in Russian).
Dixmier, J.: C* algebras, North-Holland, 1977 (translated from the French).
Gohberg, I.C. [I.Ts. Gokhberg] and Kreĭn, M.G.: Introduction to the theory of linear nonselfadjoint operators, Amer. Math. Soc, 1969 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 2, Moscow, 1985 (in Russian).
Landkof, N.S.: Foundations of modern potential theory, Springer, 1972 (translated from the Russian).
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Bliedtner, J. and Hansen, W.: Potential theory. An analytic and probabilistic approach to balayage, Springer, 1986.
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Doob, J.L.: Classical potential theory and its probabilistic counterparts, Springer, 1983.
Grauert, H. and Fritzsche, K.: Several complex variables, Springer, 1976 (translated from the German).
Whitney, H.: Complex analytic varieties, Addison-Wesley, 1972.
Veldkamp, F.D.: ‘Polar geometry’, Indag. Math. 21 (1959), 512–551.
Veldkamp, F.D.: ‘Polar geometry’, Indag. Math. 22 (1960), 207–212.
Tits, J.: Buildings and BN-pairs of spherical type, Springer, 1974.
Buekenhout, F. and Shult, E.E.: ‘On the foundations of polar geometry’, Geom. Dedicata 3 (1974), 155–170.
Dembowski, P.: Finite geometries, Springer, 1968.
Efimov, N.V.: Higher geometry, Mir, 1980 (translated from the Russian).
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Busemann, H. and Kelly, P.: Projective geometry and projective metrics, Acad. Press, 1953.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1963.
Baer, R.: Linear algebra and projective geometry, Acad. Press, 1952.
Pedoe, D.: Geometry. A comprehensive course, Dover, reprint, 1988, Sect. 85.5.
Dembowsky, P.: Finite geometries, Springer, 1968.
Bombieri, E.: ‘Canonical models of surfaces of general type’, Publ. Math. IHES 42 (1973), 171–220.
Kodaira, K.: ‘Pluricanonical systems on algebraic surfaces of general type’, J. Math. Soc. Japan 20, no. 1-2 (1968), 170–192.
Matsusaka, T. and Mumford, D.: ‘Two fundamental theorems on deformations of polarized varieties’, Amer. J. Math. 86, no. 3 (1964), 668–684.
Mumford, D.: Geometric invariant theory, Springer, 1965.
Lieberman, D. and Mumford, D.: ‘Matsusaka’s big theorem’, in R. Hartshorne (ed.): Algebraic geometry (Arcata, 1974), Proc. Symp. Pure Math., Vol. 29, Amer. Math. Soc., 1975, pp. 513-530.
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1963.
Shabat, B.V.: Introduction to complex analysis, 2, Moscow, 1985 (in Russian).
Ahlfors, L.V.: Complex analysis, McGraw-Hill, 1979.
Grauert, H. and Fritzsche, K.: Several complex variables, Springer, 1976 (translated from the German).
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986.
Balk, M.B. and Zuev, M.F.: ‘On polyanalytic functions’, Russian Math. Surveys 25, no. 5 (1970), 201–223. (Uspekhi Mat. Nauk 25, no. 5 (1970), 203-226)
Vekua, I.N.: New methods for solving elliptic equations, North-Holland, 1967 (translated from the Russian).
Privalov, I.I. and Pchelin, B.M.: ‘Sur la théorie générale des fonctions polyharmoniques’, C.R. Acad. Sci. Paris 204 (1937), 328–330. (Mat. Sb. 2, no. 4 (1937), 745-758)
Nicolesco, M.: Les fonctions poly-harmoniques, Hermann, 1936.
Nicolesco, M.: ‘Nouvelles recherches sur les fonctions polyharmoniques’, Disq. Math. Phys. 1 (1940), 43–56.
Tolotti, C.: ‘Sulla struttura délie funzioni iperarmoniche in pui variabili independenti’, Giorn. Math. Battaglini 1 (1947), 61–117.
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Aronszaĭn, N., Creese, T.M. and Lipkin, L.J.: Polyharmonic functions, Clarendon Press, 1983.
Garabedian, P.R.: Partial differential equations, Chelsea, reprint, 1986.
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1960 (translated from the Russian).
Neumann, H.: Varieties of groups, Springer, 1967.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1;2 (translated from the French).
Kostrikin, A.I. and Manin, Yu.I.: Linear algebra and geometry, Gordon & Breach, 1989 (translated from the Russian).
Postnikov, M.M.: Linear algebra and differential geometry, Moscow, 1979 (in Russian).
Feller, W.: An introduction to probability theory and its applications, 1-2, Wiley, 1968.
Johnson, N.L. and Kotz, S.: Urn models and their application, Wiley, 1977.
Bruijn, N.G. de: ‘Polya’s theory of counting’, in E.F. Beckenbach (ed.): Applied combinatorial mathematics, Wiley, 1964, Chapt. 5.
Sachkov, V.N.: Combinatorial methods in discrete mathematics, Moscow, 1977 (in Russian).
Pölya, G.: ‘Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen’, Acta Math. 68 (1937), 145–254.
Harary, F. and Palmer, E.: Graphical enumeration, Acad. Press, 1973.
Kargapolov, M.I. and Merzlyakov, Yu.I.: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Wehrfritz, B.A.F.: Three lectures on polycylic groups, Queen Mary College London, 1973.
Mal’cev, A.I. [A.I. Mal’tsev]: ‘On certain classes of infinite soluble groups’, Transl. Amer. Math. Soc. (2) 2 (1956), 1–21. (Mat. Sb. 28 (1951), 567-588)
Wolf, J.A.: ‘Growth of finitely generated solvable groups and curvature of Riemannian manifolds’, J. Diff. Geom. 2 (1968), 421–446.
Milnor, J.: ‘Growth of finitely generated solvable groups’, J. Diff Geom. 2 (1968), 1–7.
Segal, D.: Polycyclic groups, Cambridge Univ. Press, 1983.
Auslander, L.: ‘On a problem of Philip Hall’, Ann. oi Math. 86 (1967), 112–116.
Segal, D.: ‘The general polycyclic group’, Bull. London Math. Soc. 19 (1987), 49–56.
Hirsch, K.A.: ‘On infinite soluble groups’, Proc. London Math. Soc. 44 (1938), 53–60.
Rudin, W.: Function theory in polydiscs, Benjamin, 1969.
Perepelkin, D.P.: A course of elementary geometry, 1, Moscow-Leningrad, 1948 (in Russian).
Hadamard, J.: Géométrie élémentaire, 1, Moscow, 1957 (in Russian; translated from the French).
Bachmann, F. and Schmidt, Z.: n-gons, Univ. Toronto Press, 1975 (translated from the German).
Enzyklopädie der Elementarmathematik, 4. Geometrie, Deutsch. Verlag Wissenschaft., 1967 (translated from the Russian).
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969.
Arbib, M.A. (ed.): Algebraic theory of machines, languages and semigroups, Acad. Press, 1968.
Clifford, A.H. and Preston, G.B.: The algebraic theory of semigroups, 2, Amer. Math. Soc., 1967.
Skornyakov, L.A.: ‘Generalizations of modules’, in Modules, Vol. 3, Novosibirsk, 1973, pp. 22-27 (in Russian).
Skornyakov, L.A. and Mikhalev, A.V.: ‘Modules’, Itogi Nauk. i Tekhn. Alg. Topol. Geom. 14 (1976), 57–190 (in Russian).
Fountain, J.: ‘Perfect semigroups’, Proc. Edinburgh Math. Soc. 20 (1976), 87–93.
Isbell, J.: ‘Perfect monoids’, Semigroup Forum 2 (1971), 95–118.
Yoh, R.W.: ‘Congruence relations on left canonic semigroups’, Semigroup Forum (1977), 175-183.
Eilenberg, S.: Automata, languages and machines, Acad. Press, 1974.
Aleksandrov, P.S.: Introduction to homological dimension theory and general combinatorial topology, Moscow, 1975 (in Russian).
Glaser, L.C.: Geometrical combinatorial topology, v. Nostrand, 1970.
Maunder, C.R.F.: Algebraic topology, v. Nostrand, 1972.
Aleksandrov, P.S.: Combinatorial topology, Graylock, 1956 (translated from the Russian).
Aleksandrov, A.D.: Die innere Geometrie der konvexen Flächen, Akademie-Verlag, 1955 (translated from the Russian).
Aleksandrov, A.D. and Zalgaller, V.A.: ‘Two-dimensional manifolds of bounded curvature’, Trudy Mat. Inst. Steklov. 63 (1962) (in Russian).
Volkov, Yu.A.: ‘Existence of a convex polyhedron with given curvature I’, Vestnik Leningrad. Univ. 15, no. 19 (1960), 75–86 (in Russian). English abstract.
Milka, A.D.: ‘Multidimensional spaces with polyhedral metric of nonnegative curvature I’, Ukrain. Geom. Sb. 5–6 (1968), 103–114 (in Russian).
Milka, A.D.: ‘Multidimensional spaces with polyhedral metric of nonnegative curvature II’, Ukrain. Geom. Sb. 7 (1970), 68–77, 185 (in Russian).
Stone, D.A.: ‘Geodesics in piecewise linear manifolds’, Trans. Amer. Math. Soc. 215 (1976), 1–44.
Busemann, H.: Convex surfaces, Interscience, 1958, Chapt. IV.
Enzyklopädie der Elementarmathematik, 4. Geometry, Deutsch. Verlag Wissenschaft, 1967 (translated from the Russian).
Hilbert, D. and Cohn-Vossen, S.: Geometry and the imagination, Chelsea, reprint, 1952 (translated from the German).
Aleksandrov, A.D.: Konvexe Polyeder, Akademie-Verlag, 1958 (translated from the Russian).
Lyusternik, L.A.: Convex figures and polyhedra, Moscow, 1956 (in Russian).
Brückner, M.: Vielecke und Vielflache: Theorie und Geschichte, Teubner, 1900.
Grünbaum, B.: Convex polytopes, Interscience, 1967.
Coxeter, H.S.M.: Regular polytopes, Dover, reprint, 1973.
Senechal, M. and Fleck, G. (eds.): Shaping space, Birkhäuser, 1988.
McMullen, P. and Shephard, G.C.: Convex polytopes and the upper bound conjecture, Cambridge Univ. Press, 1971.
Aleksandrov, P.S.: Combinatorial topology, Graylock, 1956 (translated from the Russian).
Rourke, K. and Sanderson, B.: Introduction to piecewiselinear topology, Springer, 1972.
Milnor, J.: ‘Two complexes which are homeomorphic but combinatorially distinct’, Ann. of Math. 74, no. 3 (1961), 575–590.
Kirby, R.C. and Siebenmann, L.C.: Foundational essays on topological manifolds, smoothings, and triangulations, Princeton Univ. Press, 1977.
Edwards, R.D.: ‘The double suspension of a certain homology 3-sphere is S 5’, Notices Amer. Math. Soc. 22, no. 2 (1975), A–334
Brehm, U. and Kühnel, W.: ‘A polyhedral model for Cartan’s hypersurfaces in S4’, Mathematika 33 (1986), 55–61.
Grünbaum, B.: ‘Regular polyhedra — old and new’, Aequat. Math. 16 (1977), 1–20.
McMullen, P., Schulz, Ch. and Wills, J.M.: ‘Polyhedral 2-manifolds in E 3 with unusually large genus’, Israel J. of Math. 46 (1983), 127–144.
Schulte, E. and Wills, J.M.: ‘A polyhedral realization of Felix Klein’s map {3, 7}8 on a Riemann surface of genus 3’, J. London Math. Soc. 32 (1985), 539–547.
Brehm, U.: ‘Maximally symmetric polyhedral realizations of Dyck’s regular map’, Mathematika 34 (1987), 229–236.
Munkres, J.R.: Elementary differential topology, Princeton Univ. Press, 1963.
Glaser, L.C.: Geometrical combinatorial topology, v. Nostrand, 1970.
Coxeter, H.S.M.: Regular polytopes, Dover, reprint, 1973.
Rozenfel’d, B.A.: Multi-dimensional spaces, Moscow, 1966 (in Russian).
Coxeter, H.S.M.: Regular complex polytopes, Cambridge Univ. Press, 1990.
Mishina, A.P. and Proskuryakov, I.V.: Higher algebra. Linear algebra, polynomials, general algebra, Pergamon, 1965 (translated from the Russian).
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Springer, 1988, Chapt. 4–7 (translated from the French).
Lang, S.: Algebra, Addison-Wesley, 1984.
Babenko, I.K.: ‘Problems of growth and rationality in algebra and topology’, Russian Math. Surv. 41, no. 2 (1986), 117–175. (Uspekhi Mat. Nauk 41, no. 2 (1986), 95-142)
Grigorchuk, R.I.: ‘On Milnor’s problem of group growth’, Soviet Math. Dokl. 28 (1983), 23–26. (Dokl. Akad. Nauk SSSR 271 (1983), 30-33)
Milnor, J.: ‘A note on curvature and fundamental group’, J. Din. Geom. 2 (1968), 1–7.
Efremovich, V.: ‘On proximity geometry of Riemannian manifolds’, Transi. Amer. Math. Soc. (2) 39 (1964), 167–170. (Uspekhi Mat. Nauk 8 (1953), 189-191)
Shvarts, A.: ‘A volume invariant of coverings’, Dokl. Akad. Nauk SSSR 105 (1955), 32–34 (in Russian).
Gromov, M.: ‘Groups of polynomial growth and expanding maps’, Publ. Math. IHES 53 (1981), 53–73.
Tits, J.: ‘Free subgroups in linear groups’, J. of Algebra 20 (1972), 250–270.
Wolf, J.A.: ‘Growth of finitely generated solvable groups and curvature of Riemannian manifolds’, J. Diff. Geom. 2 (1968), 421–446.
Milnor, J.W.: ‘Growth of finitely generated solvable groups’, J. Diff. Geom. 2 (1968), 447–449.
Lazard, M.: ‘Groupes analytiques p-adiques’, Publ. Math. IHES 26 (1965), 389–603.
Golod, E.S. and Shafarevich, I.R.: ‘On class field towers’, Transi. Amer. Math. Soc. (2) 48 (1965), 91–102. (Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 261-272)
Koch, H.: Galoissche Theorie der p-Erweiterungen, Deutsch. Verlag Wissenschaft., 1970.
Ufnarovskiĭ, V.A.: ‘A criterion for the growth of graphs and algebras defined by words’, Math. Notes 31 (1982), 238–241. (Mat. Zametki 31 (1982), 465-472)
Roos, J.-E.: ‘Relations between the Poincaré—Betti series of loop spaces and of local rings’, in M.P. Malliavin (ed.): Sem. Alg. P. Dubreil, Lecture notes in math., Vol. 740, Springer, 1979, pp. 285-322.
Löfwall, C.: On the subalgebra generated by one dimensional elements in the Yoneda Ext-algebra, Preprint Dept. Math., Univ. of Stockholm, 1976.
Avramov, L.: ‘Local algebra and rational homotopy’, Astérisque 113–114 (1984), 15-43.
Avramov, L.: ‘Local rings of finite simplicial dimension’, Bull. Amer. Math. Soc. 10 (1984), 289–291.
Chebyshev, P.L.: Complete collected works, 2, Moscow-Leningrad, 1947, pp. 23-51 (in Russian).
Tikhomirov, V.M.: Some questions in approximation theory, Moscow, 1976 (in Russian).
Timan, A.F.: Theory of approximation of functions of a real variable, Pergamon, 1963 (translated from the Russian).
Szegö, G.: Orthogonal polynomials, Amer. Math. Soc., 1975.
Nikol’skiĭ, S.M.: Quadrature formulas, Hindustan Publ. Comp., 1964 (translated from the Russian).
Suetin, P.K.: Classical orthogonal polynomials, Moscow, 1976 (in Russian).
Natanson, I.P.: Constructive function theory, 2, F. Ungar, 1965, Chapt. 6 (translated from the Russian).
Rivlin, T.J.: The Chebyshev polynomials, Wiley, 1974.
Powell, M.J.D.: Approximation theory and methods, Cambridge Univ. Press, 1981.
Achiezer, N.I. [N.I. Akhiezer]: Theory of approximation, F. Ungar, 1956 (translated from the Russian).
Korneĭchuk, N.P.: Extremal problems of aproximation theory, Moscow, 1976 (in Russian).
Dzyadyk, V.K.: Introduction to the theory of uniform approximation of functions by polynomials, Moscow, 1977 (in Russian).
Tikhomirov, V.M.: Some questions in approximation theory, Moscow, 1976 (in Russian).
Laurent, P.J.: Approximation et optimisation, Hermann, 1972.
Remez, E.Ya.: Foundations of numerical methods of Chebyshev approximation, Kiev, 1969 (in Russian).
Pinkus, A.M.: On L 1-approximation, Cambridge Univ. Press, 1989.
Schönhage, A.: Approximationstheorie, de Gruyter, 1971.
Watson, G.A.: Approximation theory and numerical methods, Wiley, 1980.
Cheney, E.W.: Introduction to approximation theory, McGraw-Hill, 1966.
Powell, M.J.D.: Approximation theory and methods, Cambridge Univ. Press, 1981.
Rice, J.R.: The approximation of functions, 1. Linear theory, Addison-Wesley, 1964.
Rivlin, T.J.: An introduction to the approximation of functions, Blaisdell, 1969.
Pontryagin, L.S.: ‘Characteristic classes of differentiable manifolds’, Transi Amer. Math. Soc. (1) 7 (1962), 279–331. (Mat. Sb. 21 (1947), 233-284)
Novikov, S.P.: ‘Topological invariance of rational Pontrjagin classes’, Soviet Math. Dokl. 6, no. 4 (1965), 921–923. (Dokl. Akad. Nauk SSSR 163 (1965), 298-300)
Bukhshtaber, V.M.: ‘The Chern—Dold character in cobordisms. I’, Math. USSR Sb. 12, no. 4 (1970), 573–594. (Mat. Sb. 83 (1970), 575-595)
Rokhlin, V.A. and Shvarč, A.S.: ‘The combinatorial invariance of Pontrjagin classes’, Dokl. Akad. Nauk SSSR 114 (1957), 490–493 (in Russian).
Milnor, J.: Matematika 3, no. 4 (1959), 3–53.
Milnor, J.: Matematika 9, no. 4 (1965), 3–40.
Stong, R.E.: Notes on cobordism theory, Princeton Univ. Press, 1968.
Kirby, R.C. and Siebenmann, L.C.: Foundational essays on topological manifolds, smoothings, and triangulations, Princeton Univ. Press, 1977.
Milnor, J.W. and Stasheff, J.D.: Characteristic classes, Princeton Univ. Press, 1974.
Anderson, D.W., Brown, E.H. and Peterson, F.P.:’ spin cobordism’, Ann. of Math. (To appear).
Dieudonne, J.: A history of algebraic and differential topology 1900–1960, Birkhäuser, 1989.
Pontryagin, L.S.: ‘The theory of topological commutative groups’, Ann. of Math. 35, no. 2 (1934), 361–388.
Pontryagin, L.S.: Topological groups, Gordon & Breach, 1966 (translated from the Russian).
Kampen, E. van: ‘Locally bicompact Abelian groups and their character groups’, Ann. of Math. 36 (1935), 448–463.
Kreĭn, M.G.: ‘Hermitian positive kernels on homogeneous spaces, I’, Ukrain. Mat. Zh. 1, no. 4 (1949), 64–98 (in Russian).
Krein, M.G.: ‘Hermitian positive kernels on homogeneous spaces, II’, Ukrain. Mat. Zh. 2, no. 1 (1950), 10–59 (in Russian).
Morris, S.: Pontryagin duality and the structure of locally compact Abelian groups, Cambridge Univ. Press, 1977.
Naimark, M.A.: Normed rings, Noordhoff, 1959 (translated from the Russian).
Hewitt, E. and Ross, K.: Abstract harmonic analysis, 2, Springer, 1970.
Smith, M.F.: ‘The Pontrjagin duality theorem in linear spaces’, Ann. of Math. 56, no. 2 (1952), 248–253.
Venkataraman, R.: ‘A characterization of Pontryagin duality’, Math. Z. 149, no. 2 (1976), 109–119.
Armacost, D.L.: The structure of locally compact abelian groups, M. Dekker, 1981.
Hochschild, G.: The structure of Lie groups, Holden-Day, 1965.
Aleksandrov, P.S.: ‘Topological duality theorems’, Trudy Mat. Inst. Steklov. 48 (1955), Part 1. Closed sets (in Russian).
Massey, W.: Homology and cohomology theory, M. Dekker, 1978.
Sklyarenko, E.G.: ‘Homology and cohomology of general spaces’, Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 50 (1989), 129–266 (in Russian).
Pontryagin, L.S.: Smooth manifolds and their applications in homology theory, Moscow, 1976 (in Russian).
Stong, R.E.: Notes on cobordism theory, Princeton Univ. Press, 1968.
Milnor, J.: Topology from the differentiable viewpoint, Virginia Press, 1966.
Pontryagin, L.S., Boltyanskiĭ, V.G., Gamkrelidze, R.V. and Mishchenko, E.F.: 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.
Lee, E.B. and Markus, L.: Foundations of optimal control theory, Wiley, 1967.
Berkovitz, L.D.: Optimal control theory, Springer, 1974.
Cesari, L.: Optimization-theory and applications, problems with ordinary differential equations, Springer, 1983.
Clarke, F.: Optimization and nonsmooth analysis, Wiley, 1983.
Pontryagin, L.S.: ‘Hermitian operators in a space with indefinite metric’, Izv. Akad. N auk. SSSR Ser. Mat. 8 (1944), 243–280 (in Russian).
Iokhvidov, I.S. and Kreĭn, M.G.: ‘Spectral theory of operators in a space with indefinite metric I’, Transi Amer. Math. Soc. (2) 13 (1960), 105–175. (Trudy Moskov. Mat. Obshch. 5 (1956), 367-432)
Iokhvidov, I.S. and Kreĭn, M.G.: ‘Spectral theory of operators in a space with indefinite metric II’, Trudy Moskov. Mat. Obshch. 8 (1959), 413–496 (in Russian).
Azizov, T.Ya. and Iokhvidov, I.S.: ‘Linear operators in Hilbert spaces with G-metric’, Russian Math. Surveys 26, no. 4 (1971), 45–97. (Uspekhi Mat. Nauk 26, no. 4 (1971), 43-92)
Kreĭn, M.G.: ‘Introduction to the geometry of indefinite J-spaces and the theory of operators in these spaces’, in Second Math. Summer School, Vol. 1, Kiev, 1965, pp. 15-92 (in Russian).
Naĭmark, M.A. and Ismagilov, R.S.: ‘Representations of groups and algebras in a space with indefinite metric’, Itogi Nauk. i Tekhn. Mat. Anal. (1969), 73-105 (in Russian).
Nagy, L.: State vector spaces with indefinite metric in quantum field theory, Noordhoff, 1966.
Azizov, T.Ya. and Iohidov, I.S. [I.S. Iokhvidov]: Linear operators in spaces with an indefinite metric, Wiley, 1989 (translated from the Russian).
Iohidov, I.S. [I.S. Iokhvidov], Kreĭn, M.G. and Langer, H.: Introduction to the spectral theory of operators in spaces with an indefinite metric, Akad. Verlag, 1982.
Pontryagin, L.S.: ‘Mappings of a 3-dimensional sphere into a n-dimensional complex’, Dokl. Akad. Nauk SSSR 34 (1942), 35–37 (in Russian).
Boltyanskiĭ, V.G.: The homotopy theory of continuous mapping and vector fields, Moscow, 1955 (in Russian).
Postnikov, M.M.: ‘The classification of continuous mappings of a three-dimensional polyhedron into a simply connected polyhedron of arbitrary dimension’, Dokl. Akad. Nauk SSSR 64, no. 4 (1949), 461–462 (in Russian).
Browder, W. and Thomas, E.: ‘Axioms for the generalized Pontryagin cohomology operations’, Quart. J. Math. 13 (1962), 55–60.
Thomas, E.: ‘A generalization of the Pontrjagin square cohomology operation’, Proc. Nat. Acad. Sci. USA 42 (1956), 266–269.
Thomas, E.: The generalized Pontryagin cohomology operations and rings with divided powers, Amer. Math. Soc., 1957.
Pontryagin, L.S.: ‘Sur une hypothèse fundamentale de la théorie de la dimension’, C.R. Acad. Sci. Paris 190 (1930), 1105–1107.
Boltyanskiĭ, V.G.: ‘On a theorem concerning addition of dimension’, Uspekhi Mat. Nauk 6, no. 3 (1951), 99–128 (in Russian).
Aleksandrov, P.S.: An introduction to homological dimension theory and general combinatorial topology, Moscow, 1975 (in Russian).
Dranishnikov, A.N.: ‘Homological dimension theory’, Russian Math. Surveys 43, no. 4 (1988), 11–63. (Uspekhi Mat. Nauk 43, no. 4 (1988), 11-55)
Dolzhenko, E.P.: ‘Boundary properties of arbitrary functions’, Math. USSR Izv. 1, no. 1 (1967), 1–12. (Izv. Akad. Nauk. SSSR Ser. Mat. 31, no. 1 (1967), 3-14)
Zajiček, L.: ‘Sets of σ-porosity and sets of σ-porosity (q)’, Casopis. Pešt. Mat. 101 (1976), 350–359.
Foran, J. and Humke, P.D.: ‘Some set-theoretic properties of σ-porous sets’, Real Anal. Exch. 6, no. 1 (1980/81), 114–119.
Tkadlec, J.: ‘Constructions of some non-σ-h-porous sets on the real line’, Real Anal. Exch. 9, no. 2 (1983/84), 473–482.
Agronsky, S.J. and Bruckner, A.M.: ‘Local compactness and porosity in metric spaces’, Real Anal. Exch. 11, no. 2 (1985/86), 365–379.
Shevchenko, Yu.A.: ‘On Vitali’s covering theorem’, Vestnik Moskov. Univ. Ser. 1. Mat. Mech, no. 3 (1989), 11-14 (in Russian).
Positional games, Moscow, 1967 (in Russian).
Berge, C.: Théorie générale des jeux à n personnes, Gauthier-Villars, 1957.
Kuhn, H.W.: ‘Extensive games and the problem of information’, in H.W. Kuhn, et al. (ed.): Contributions to the theory of games. Annals of Math. Stud., Vol. 28, Princeton Univ. Press, 1953, pp. 193-216.
Thompson, G.L.:’ signalling strategies in n-person games’, in H.W. Kuhn, et al. (ed.): Contributions to the theory of games, Annals of Math. Stud., Vol. 28, Princeton Univ. Press, 1953, pp. 267-277.
Vorob’ev, N.N.: ‘Dismembered strategies in positional games’, Probl. Kibernetiki, no. 7 (1962), 5-20 (in Russian).
Bui Kong Kyong: ‘Reduced-dismembered strategy in positional games’, Vestnik Leningrad. Gos. Univ. 1 (1969), 49–59 (in Russian).
Basar, T. and Olsder, G.J.: Dynamic noncooperative game theory, Acad. Press, 1989.
Luce, R.D. and Raiffa, H.: Games and decisions, Wiley, 1957.
Krasnosel’skiĭ, M.A.: Positive solutions of operator equations, Wolters-Noordhoff, 1964 (translated from the Russian).
Schaefer, H.H.: Banach lattices and positive operators, Springer, 1974.
Zaanen, A.C. and Luxemburg, W.: Riesz spaces, I, North-Holland, 1983.
Lukacs, E.: Characteristic functions, Griffin, 1970.
Zabreyko, P.P. [P.P. Zabreĭko], et al.: Integral equations — a reference text, Noordhoff, 1975, Chapt. III, § 3 (translated from the Russian).
Hochstadt, H.: Integral equations, Wiley-Interscience, 1973, p. 255ff.
Gantmacher, F.R. [F.R. Gantmakher]: The theory of matrices, I-II, Chelsea, reprint, Chapt. X (translated from the Russian).
Hewitt, E. and Ross, K.A.: Abstract harmonic analysis, 2, Springer, 1979.
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Bochner, S.: Lectures on Fourier integrals, Princeton Univ. Press, 1959 (translated from the German).
Rudin, W.: Fourier analysis on groups, Wiley, 1962.
Reiter, H.: Classical harmonic analysis and locally compact groups, Clarendon Press, 1968.
Dixmier, J.: C algebras, North-Holland, 1977 (translated from the French).
Bratteli, O. and Robinson, D.W.: Operator algebras and quantum statistical mechanics, 1, Springer, 1979.
Berezanskiy, Yu.M. [Yu.M. Berezanskiĭ]: Expansion in eigenfunctions of selfadjoint operators, Amer. Math. Soc., 1968 (translated from the Russian).
Krein, M.G.: ‘Hermitian positive kernels on homogeneous spaces I’, Ukr. Mat. Zh. 1, no. 4 (1949), 64–98 (in Russian).
Krein, M.G.: ‘Hermitian positive kernels on homogeneous spaces II’, Ukr. Mat. Zh. 2, no. 1 (1950), 10–59 (in Russian).
Reiter, H.: Classical harmonic analysis and locally compact groups, Oxford Univ. Press, 1968.
Hille, E.: Methods in classical and functional analysis, Addison-Wesley, 1972.
Dunford, N. and Schwartz, J.T.: Linear operators, 1–3, Interscience, 1958–1971, p. 906.
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Dixmier, J.: C* algebras, North-Holland, 1977 (translated from the French).
Raĭkov, D.N.: Dokl. Akad. Nauk. SSSR 54, no. 5 (1946), 391–394.
Pták, V.: ‘On the spectral radius in Banach algebras with involution’, Bull. London Math. Soc. 2 (1970), 327–334.
Palmer, T.W.: ‘Hermitian Banach *-algebras’, Bull. Amer. Math. Soc. 78 (1972), 522–524.
Gel’fand, I.M. and Naĭmark, M.A.: ‘Normed involution rings and their representations’, Izv. Akad. Nauk SSSR Ser. Mat. 12 (1948), 445–480 (in Russian).
Segal, I.: ‘Irreducible representations of operator algebras’, Bull. Amer. Math. Soc. 53 (1947), 73–88.
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Akhiezer, N.I. and Glazman, I.M.: Theory of linear operators in Hilbert space, 1–2, Pitman, 1981 (translated from the Russian).
Sherman, S.: ‘Order in operator algebras’, Amer. J. Math. 73, no. 1 (1951), 227–232.
Kreĭn, M.G. and Rutman, M.A.: ‘Linear operators leaving invariant a cone in a Banach space’, Transl. Amer. Math. Soc. (1) 10 (1962), 199–325. (Uspekhi Mat. Nauk 3, no. 1 (1948), 3-95)
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Krasnosel’skiĭ, M.A. and Sobolev, A.V.: ‘On cones of finite rank’, Soviet Math. Dokl. 16, no. 6 (1975), 1621–1625. (Dokl. Akad. Nauk SSSR 225, no. 6 (1975), 1256-1259)
Krasnosel’skiĭ, M.A., et al.: Integral operators in spaces of summable functions, Noordhoff, 1967 (translated from the Russian).
Dixmier, J.: C* algebras, North-Holland, 1977 (translated from the French).
Krasnosel’skiĭ, M.A.: Positive solutions of operator equations, Wolters-Noordhoff, 1964 (translated from the Russian).
Dunford, N. and Schwartz, J.T.: Linear operators, II, Wiley-Interscience, 1988, p. 906ff.
Reed, M. and Simon, B.: Methods of modem mathematical physics, I: Functional analysis, Acad. Press, 1972, p. 195ff.
Vulikh, B.Z.: Functional analysis for scientists and technologists, Pergamon, 1963, Sect. 13.6 (translated from the Russian).
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Hilbert, D. and Bernays, P.: Grundlagen der Mathematik, 1–2, Springer, 1968–1970.
Landau, H.J. (ed.): Moments in mathematics, Amer. Math. Soc., 1987, p. 56ff.
Jordan, C.: ‘Sur la série de Fourier’, C.R. Acad. Sci. Paris 92 (1881), 228–230.
Lebesgue, H.: Leçons sur l’intégration et la récherche des fonctions primitives, Gauthier-Villars, 1928.
Wells, R.O., jr.: Differential analysis on complex manifolds, Springer, 1980.
Chern, S.S.: Complex manifolds without potential theory, Springer, 1979.
Onischik, A.L.: ‘Pseudoconvexity in the theory of complex spaces’, J. Soviet Math. 14, no. 4 (1980), 1363–1406. (Itogi Nauk. i Tekhn. Algebra. Topol Geom. 15 (1977), 93-171)
Schneider, M: ‘Familien negativer Vektorraumbündel und l-konvexe Abbildungen’, Abh. Math. Sem. Univ. Hamburg 47 (1978), 150–170.
Umemura, H.: ‘Some results in the theory of vector bundles’, Nagoya Math. J. 52 (1973), 97–128.
Salomaa, A.: Computation and automata, Cambridge Univ. Press, 1985.
Yablonskiĭ, S.V., Gavrilov, G.P. and Kudryavtsev, V.B.: Functions of the algebra of logic and Post classes, Moscow, 1966 (in Russian).
Ehrenfeucht, A., Karhumäki, J. and Rozenberg, G.: ‘The (generalized) Post corresponding problem with lists consisting of two words is decidable’, Theor. Comp. Sc. 21 (1982), 119–144.
Karhumäki, J. and Simon, I.: ‘A note on elementary homomorphisms and the regularity of equality sets’, EATCS Bull. 9 (1979), 16–24.
Post, E.: ‘A variant of a recursively unsolvable problem’, Bull. Amer. Math. Soc. 52 (1946), 264–268.
Salomaa, A.: Formal languages, Acad. Press, 1987.
Post, E.L.: ‘Formal reductions of the general combinatorial decision problem’, Amer. J. Math. 65, no. 2 (1943), 197–215.
Markov, A.A.: Theory of algorithms, Israel Progr. Sci. Transi., 1961 (translated from the Russian). Also: Trudy Mat. Inst. Steklov. 42 (1954).
Curry, H.B.: Foundations of mathematical logic, McGraw-Hill, 1963.
Postnikov, M.M.: ‘The classification of continuous mappings of a three-dimensional polyhedron into a simply connected polyhedron of arbitrary dimension’, Dokl. Akad. N auk SSSR 64, no. 4 (1949), 461–462 (in Russian).
Postnikov, M.M.: Studies on the homotopy theory of continuous mappings, 1–2, Moscow, 1955 (in Russian).
Postnikov, M.M.: ‘Localization of topological spaces’, Russian Math. Surveys 32, no. 6 (1977), 121–184. (Uspekhi Mat. Nauk 32, no. 6 (1977), 117-181)
Mosher, R. and Tangora, M.: Cohomology operations and applications in homotopy theory, Harper & Row, 1968, Chapt. 13.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Brown, E.H.: ‘Finite computability of Postnikov complexes’, Ann. of Math. (2) 65 (1957), 1–20.
Baues, H.J.: Obstruction theory of homotopy classification of maps, Springer, 1977.
Hilton, P., Mislin, G. and Roitberg, J.: Localization of nilpotent groups and spaces, North-Holland, 1975.
Whitehead, G.W.: Elements of homotopy theory, Springer, 1978, Chapt. IX.
Gray, B.: Homotopy theory, Acad. Press, 1975, Chapt. 17.
Triebel, H.: Analysis and mathematical physics, Reidel, 1986, Sect. 10.1.4.
Zauderer, E.: Partial differential equations, Wiley-Interscience, 1989, p. 92.
Rektorys, K.: Applicable mathematics, Iliffe, 1969, Sects. 12.3, 14.7.
Egorov, D.F.: Papers in differential geometry, Moscow, 1970 (in Russian).
Shulikovskiĭ, V.I.: Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Günter, N.M.: Potential theory and its applications to basic problems of mathematical physics, F. Ungar 1967 (translated from the French).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Tichonoff, A.N. [A.N. Tikhonov] 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.
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Levi, E.E.: ‘Sulle equazioni lineari alle derivate parziali totalmente ellittiche’, Rend. R. Acc. Lincei, Classe Sci. (V) 16 (1907), 932–938.
Levi, E.E.: ‘Sulle equazioni lineari totalmente ellittiche alle derivate parziali’, Rend. Circ. Mat. Palermo 24 (1907), 275–317.
Kellogg, O.D.: Foundations of potential theory, F. Ungar, 1929. Re-issue: Springer, 1967.
Vaĭnberg, M.M.: Variational method and method of monotone operators in the theory of nonlinear equations, Wiley, 1973 (translated from the Russian).
Gajewski, H., Grögor, K. and Zacharias, K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akad. Verlag, 1974.
Günter, N.M. [N.M. Gyunter]: Potential theory and its application to basic problems of mathematical physics, F. Ungar, 1967 (translated from the Russian).
Sretenskiĭ, L.N.: Theory of the Newton potential, Moscow-Leningrad, 1946 (in Russian).
Landkof, N.S.: Foundations of modern potential theory, Springer, 1972 (translated from the Russian).
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
Kellogg, O.D.: Foundations of potential theory, F. Ungar, 1929. Re-issue: Springer, 1967.
Keldysh, M.V.: ‘On the resolutivity and the stability of the Dirichlet problem’, Uspekhi Mat. Nauk 8 (1941), 171–231 (in Russian).
Bitsadze, A.V.: Equations of mathematical physics, Mir, 1980 (translated from the Russian).
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Vladimirov, V.S.: Equations of mathematical physics, M. Dekker, 1971 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Mikhlin, S.G.: Linear partial differential equations, Moscow, 1977 (in Russian).
Tikhonov, A.N. and Samarskiĭ, A.A.: Equations of mathematical physics, Pergamon, 1963 (translated from the Russian).
Helms, L.L.: Introduction to potential theory, Wiley-Interscience, 1969.
Tsuji, M.: Potential theory in modern function theory, Chelsea, reprint, 1975.
Wermer, J.: Potential theory, Lecture Notes in Math., 408, Springer, 1974.
Doob, J.L.: Classical potential theory and its probabilistic counterpart, Springer, 1984.
Dellacherie, C. and Meyer, P.A.: Probabilities and potential, A-B, North-Holland, 1978–1982 (translated from the French).
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Fabrikant, V.I.: Applications of potential theory in mechanics, Kluwer, 1989.
Brelot, M.: Lectures on potential theory, Tata Inst. Fundam. Research, 1960.
Brelot, M.: ‘Les étapes et les aspects multiples de la théorie du potentiel’, Enseign. Math. 18, no. 1 (1972), 1–36.
Bauer, H.: Harmonische Räume und ihre Potentialtheorie, Springer, 1966.
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Meyer, P.A.: Probability and potentials, Blaisdell, 1966.
Hunt, G.A.: ‘Markov processes and potentials, I’, Illinois J. Math. 1 (1957), 44–93.
Hunt, G.A.: ‘Markov processes and potentials, II’, Illinois J. Math. 1 (1957), 316–362.
Hunt, G.A.: ‘Markov processes and potentials, III’, Illinois J. Math. 2 (1958), 151–213.
Blumenthal, R. and Getoor, R.: Markov processes and potential theory, Acad. Press, 1968.
Boboc, N., Bucur, Gh. and Cornea, A.: Order and convexity in potential theory: H-cones, Springer, 1981.
Bliedtner, J. and Hansen, W.: Potential theory. An analytic and probabilistic approach to balayage, Springer, 1986.
Fukushima, M.: Dirichtet forms and Markov processes, North-Holland, 1980.
Kral, J., Lukeš, J. and Veselý, J. (eds.): Potential theory. Surveys and problems, Springer, 1988.
Brelot, M., Bauer, H., Bony, J.-M., Deny, J. and Mokobodzki, G. (eds.): Potential theory, Cremonese, 1970.
Dellacherie, C. and Meyer, P.A.: Probabilities and potential, C, North-Holland, 1988 (translated from the French).
Maeda, F.Y.: Dirichlet integrals on harmonic spaces, Lecture notes in math., 803, Springer, 1980.
Röckner, M.: ‘Markov property of generalized fields and axiomatic potential theory’, Math. Ann. 264 (1983), 153–177.
Novikov, P.: ‘Sur le problème inverse de potentiel’, Dokl. Akad. Nauk SSSR 18, no. 3 (1938), 165–168.
Tikhonov, A.N.: ‘On the stability of inverse problems’, Dokl. Akad Nauk SSSR 39, no. 5 (1943), 195–198 (in Russian).
Sretenskiĭ, L.N.: Theory of the Newton potential, Moscow-Leningrad, 1946 (in Russian).
Ivanov, V.K.: The inverse problem of potential of a body close to a given body’, Izv. Akad. Nauk. SSSR Ser. Mat. 20, no. 6 (1956), 793–818 (in Russian).
Ivanov, V.K.: ‘An integral equation in the inverse problem for the logarithmic potential in closed form’, Dokl. Akad. Nauk SSSR 105, no. 3 (1955), 409–411 (in Russian).
Ivanov, V.K.: ‘On the solvability of the inverse problem for the logarithmic potential in closed form’, Dokl. Akad. Nauk SSSR 106, no. 4 (1956), 598–599 (in Russian).
Lavrentiev, M.M. [M.M. Lavrent’ev]: Some improperly posed problems of mathematical physics, Springer, 1967 (translated from the Russian).
Prilepko, A.I.: ‘Uniqueness of the solution of the exterior inverse problem of the Newtonian potential’, Diff Eq. 2 (1966), 56–64. (DifferentsiaVnye Uravneniya 2 (1966), 107-124)
Prilepko, A.I.: ‘On inverse problems in potential theory’, Diff. Eq. 3 (1967), 14–20. (Differentsial’nye Uravneniya 3 (1967), 30-44)
Prilepko, A.I.: ‘Inverse external contact problems for generalized magnetic potentials generated by variable magnetic densities’, Diff Eq. 6 (1970), 31–39. (Differentsial’nye Uravneniya 6 (1970), 27-49)
Prilepko, A.I.: ‘The interior inverse potential problem for a body differing slightly from a given body’, Diff. Eq. 8 (1972), 90–96. (Differentsial’nye Uravaneniya 8 (1972), 118-125)
Prilepko, A.I.: ‘The inverse problem of a metaharmonic potential for a body close to a given body’, Sibirsk. Mat. Zh. 6, no. 6 (1965), 1332–1356 (in Russian).
Prilepko, A.I.: ‘Interior inverse problems of generalized potentials’, Siberian Math. J. 12, no. 3 (1971), 447–460. (Sibirsk. Mat. Zh. 12 (1971), 630-647)
Prilepko, A.I.: ‘On the stability and uniqueness of a solution of inverse problems of generalized potentials of a simple layer’, Siberian Math. J. 12, no. 4 (1971), 594–601. (Sibirsk. Mat. Zh. 12 (1971), 828-836)
Prilepko, A.I.: ‘Mixed inverse problems of potential theory in the case of stellar bodies’, Siberian Math. J. 12, no. 6 (1971), 969–978. (Sibirsk. Mat. Zh. 12 (1971), 1341-1353)
Tikhonov, A.N. and Arsenin, V.Ya.: Solutions of ill-posed problems, Winston, 1977 (translated from the Russian).
Anger, G.: Inverse and improperly posed problems in differential equations, Akad. Verlag, 1979.
Lavrent’ev, M.M.: Some improperly posed problems of mathematical physics and analysis, Amer. Math. Soc., 1986 (translated from the Russian).
Schulze, B.W. and Wildenhain, G.: Methoden der Potentialtheorie für elliptische Differentialgleichungen beliebiger Ordnung, Birkhäuser, 1977.
Ramm, A.G.: Scattering by obstacles, Reidel, 1986, p. 71.
Aharonov, O., Schiffer, M. and Zalcman, L.: ‘Potato kugel’, Israel J. of Math. 40 (1981), 331–339.
Hobson, E.W.: ‘On Green’s function for a circular disc with application to electrostatic problems’, Trans. Cambridge Philos. Soc. 18 (1990), 277–291.
Fabrikant, V.I.: Applications of potential theory in mechanics. Selection of new results, Kluwer, 1989.
Fabrikant, V.I.: J. Sound and Vibration 121 (1988), 1–12.
Fabrikant, V.I.: ‘Potential of several arbitrarily located disks’, Austral. Math. Soc. Ser. B 29 (1988), 342–351.
Fabrikant, V.I.: ‘Mixed problems of potential theory in spherical coordinates’, Z Angewandte Math. Mech. 67 (1987), 507–518.
Fabrikant, V.I.: J. Applied Phys. 61 (1987), 813–816.
Sneddon, I.N.: Mixed boundary value problems in potential theory, North-Holland, 1966.
Ufliand, Ia.S. [Ya.S. Ufliand]: Survey of articles on the application of integral transforms in the theory of elasticity, Applied Math. Res. Group File, PSR-24/6, North Carolina State Univ. (translated from the Russian).
Ufliand, Ya.S.: Method of dual equations in mathematical physics, Leningrad, 1977 (in Russian).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Vladimirov, V.S.: Equations of mathematical physics, M. Dekker, 1971 (translated from the Russian).
Kupradze, V.D.: The method of potentials in elasticity theory, Moscow, 1963 (in Russian).
Milne-Thomson, L.M.: Theoretical hydrodynamics, Macmillan, 1949
Kràl, J.: Integral operators in potential theory, Springer, 1980.
Simader, C.G.: On Dirichlet’s boundary value problem, Springer, 1972.
Colton, D. and Kress, R.: Integral equation methods in scattering theory, Wiley, 1983.
Jawson, M. and Symm, G.: Integral equation methods in potential theory and elastostatics, Acad. Press, 1977.
Stromberg, K.: An introduction to classical real analysis, Wadsworth, 1981.
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964. English translation: Blackie, 1951.
Marsden, J.: Basic complex analysis, Freeman, 1973.
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1988.
Cramer, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Waerden, B.L. van der: Mathematische Statistik, Springer, 1951.
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1988.
Hajek, J. and Sidak, Z.: Theory of rank tests, Acad. Press, 1967.
Waerden, B.L. van der: Mathematische Statistik, Springer, 1957.
Cramer, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Narkiewicz, W.: Elementary and analytic theory of algebraic numbers, Springer & PWN, 1990, p. 394ff.
Neukirch, J.: Class field theory, Springer, 1986, p. IV, §9.
Bitsadze, A.V.: Foundations of the theory of analytic functions of a complex variable, Moscow, 1972 (in Russian).
Markushevich, A.I.: Theory of analytic functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Titchmarsh, E.: The theory of functions, Oxford Univ. Press, 1979.
Bieberbach, L.: Analytische Fortsetzung, Springer, 1955.
Landau, E. and Gaier, D.: Darstellung und Begrundung einiger neuerer Ergebnisse der Funktionentheorie, Springer, reprint, 1986.
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, 1–2, Moscow, 1985 (in Russian).
Bochner, S. and Martin, W.T.: Several complex variables, Princeton Univ. Press, 1948.
Yanushauskas, A.I.: Double series, Novosibirsk, 1980 (in Russsian).
Rudin, W.: Function theory in polydiscs, Benjamin, 1969.
Narasimhan, R.: Several complex variables, Univ. Chicago Press, 1971.
Diedrich, K. and Remmert, R.: Funktionentheorie, I, Springer, 1972.
Golubets, V.V.: Lectures on the theory of wings, Moscow-Leningrad, 1949 (in Russian).
Kármán, T. von and Burgers, J.M.: General aerodynamic theory-Perfect fluid, Springer, 1936.
Muskhelishvili, N.I.: Singular integral equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Curle, N. and Davies, H.J.: Modem fluid dynamics, II, v. Nostrand Reinhold, 1971.
Chandrasekhar, S.: Hydrodynamic and hydromagnetic stability, Dover, reprint, 1981.
Yih, C.-S.: Stratified flows, Acad. Press, 1980.
Landau, L.D. and Lifshitz, E.M.: Fluid mechanics, Pergamon, 1959, p. 203, 208 (translated from the Russian).
Engelking, R.: General topology, Heldermann, 1989.
Engelking, R.: General topology, Heldermann, 1989.
Istrăţescu, V.I.: Inner product structures, Reidel, 1987.
Rudin, W.: Functional analysis, McGraw-Hill, 1979.
Yosida, K.: Functional analysis, Springer, 1980.
Bourbaki, N.: Elements of mathematics. Integration, Addison-Wesley, 1975, Chapt.6;7;8 (translated from the French).
Bauer, H.: Probability theory and elements of measure theory, Holt, Rinehart & Winston, 1972, p. 13ff (translated from the German).
Kokorin, A.I. and Kopytov, V.M.: Fully ordered groups, Israel Progr. Sci. Transi., 1974 (translated from the Russian).
Fuchs, L.: Partially ordered algebraic systems, Pergamon, 1963.
Kleene, S.C.: Introduction to metamathematics, North-Holland & Noordhoff, 1952.
Suppes, P.: Introduction to logic, v. Nostrand, 1957.
Grzegorczyk, A.: An outline of mathematical logic, Reidel, 1974.
Hilbert, D. and Bernays, P.: Grundlagen der Mathematik, 1–2, Springer, 1934–1939.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Novikov, P.S.: Elements of mathematical logic, Oliver & Boyd, 1964 (translated from the Russian).
Takeuti, G.: Proof theory, North-Holland, 1975.
Bell, J. and Machover, M.: A course in mathematical logic, North-Holland, 1977.
Hatcher, W.S.: Foundations of mathematics, Saunders, 1968.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Ershov, Yu.L. and Palyutin, E.A.: Mathematical logic, Moscow, 1970 (in Russian).
Manin, Yu.L.: A course in mathematical logic, Springer, 1977 (translated from the Russian).
Church, A.: Introduction to Mathematical logic, 1, Princeton Univ. Press, 1956.
Takeuti, G.: Proof theory, North-Holland, 1987.
Aczel, P.: Non well-founded sets, Centre Study of Language and Inform., Stanford Univ., 1987.
Barwise, J. and Etchemendy, J.: The liar. An essay on truth and circularity, Oxford Univ. Press, 1987.
Dellacherie, C. and Meyer, P.-A.: Probabilities and potential, B, North-Holland, 1982 (translated from the French).
Liptser, R.S. and Shiryayev, A.N.: Statistics of random processes, II, Springer, 1978, p. 301 ff (translated from the Russian).
Liptser, R.S. and Shiryayev, A.N.: Martingales, Kluwer, 1989 (translated from the Russian).
Dellacherie, C.: Capacités et processus stochastique, Springer, 1972.
Dellacherie, C. and Meyer, P.A.: Probabilities and potential, A-C, North-Holland, 1978–1988 (translated from the French).
Mendelson, E.: Introduction to mathematical logic, v. Nostrand, 1964.
Kleene, S.C.: Introduction to metamathematics, North-Holland & Noordhoff, 1950, Chapt. VII, § 35.
Fraissé, R.: Course of mathematical logic, 1, Reidel, 1973, Sect. 5.1.1ff.
Magnus, W., Karrass, A. and Solitar, D.: Combinatorial group theory: presentations of groups in terms of generators and relations, Wiley-lnterscience, 1966.
Coxeter, H.S.M. and Moser, W.O.J.: Generators and relations for discrete groups, Springer, 1965.
Privalov, I.I.: Einführung in die Funktionentheorie, 1–3, Teubner, 1965–1967 (translated from the Russian).
Gunning, R.C. and Rossi, H.: Analyic functions of several complex variables, Prentice Hall, 1965.
Whyburn, G.T.: Topological analysis, Princeton Univ. Press, 1964.
Chirka, E.M.: Complex analytic sets, Kluwer, 1989 (translated from the Russian).
Lasker, E.: ‘Zur Theorie der Moduln und Ideale’, Math. Ann. 60 (1905), 20–116.
Noether, E.: ‘Idealtheorie in Ringbereichen’, Math. Ann. 83 (1921), 24–66.
Atiyah, M.F. and MacDonald, I.: Introduction to commutative algebra, Addison-Wesley, 1969.
Zariski, O. and Samuel, P.: Commutative algebra, 1–2, Springer, 1975.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Goldman, O.: ‘Rings and modules of quotients’, J. of Algebra 13, no. 1 (1969), 10–47.
Lesieur, L. and Croisot, R.: Algèbre noethérienne non commutative, Gauthier-Villars, 1963.
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Faith, C.: Algebra, 1–2, Springer, 1973–1976.
Cohn, P.M.: Free rings and their relations, Acad. Press, 1971.
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Lang, S.: Algebra, Addison-Wesley, 1974.
Rowen, L.: Ring theory, I, Acad. Press, 1988, p. 163.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Skornyakov, L.A.: Elements of lattice theory, A. Hilger, 1977 (translated from the Russian).
Hasse, H.: Vorlesungen über Zahlentheorie, Springer, 1950.
Ribenboim, P.: The book of prime number records, Springer, 1988.
Riesel, H.: Prime numbers and computer methods for factorisation, Birkhäuser, 1985.
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Bressoud, D.M.: Factorization and primality testing, Springer, 1989.
Andrunakievich, V.A. and Ryabukhin, Yu.M.: Radicals of algebras and lattice theory, Moscow, 1979 (in Russian).
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Herstein, I.: Noncommutative rings, Math. Assoc. Amer., 1968.
Kudryavtsev, L.D.: A course of mathematical analysis, 1, Moscow, 1981 (in Russian).
Nikol’skiĭ, S.M.: A course of mathematical analysis, 1, Mir, 1977 (translated from the Russian).
Boas, R.P.: A primer of real functions, Math. Assoc. Amer., 1981.
Apostel, T.M.: Mathematical analysis, Addison-Wesley, 1974.
Cameron, P.: ‘Finite permutation groups and finite simple groups’, Bull. London Math. Soc. 13 (1981), 1–22.
Krasner, M. and Kaloujnine, L.: ‘Produit complet des groupes de permutations et problème d’extension de groupes II’, Acta Sci. Math. (Szeged) 14 (1951), 39–66.
Wielandt, H.: Finite permutation groups, Acad. Press, 1968.
Pogorelov, B.A.: ‘Primitive permutation groups of small degree’, in VI All-Union Symp. Group Theory, Kiev, 1980, pp. 146-157; 222 (in Russian).
Shmidt, O.Yu.: Abstract theory of groups, Freeman, 1966 (translated from the Russian).
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975
Cohn, P.M.: Algebra, 1, Wiley, 1982, p. 165.
Birkhoff, G. and MacLane, S.: A survey of modem algebra, MacMillan, 1953, p. 79.
Uspenskiĭ, V.A.: Leçons sur les fonctions calculables, Hermann, 1966 (translated from the Russian).
Mal’tsev, A.I.: Algorithms and recursive functions, Wolters-Noordhoff, 1970 (translated from the Russian).
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Calude, C.: Theories of computational complexity, North-Holland, 1988.
Manin, Yu.I.: A course in mathematical logic, Springer, 1977 (translated from the Russian).
Kleene, S.C.: Introduction to metamathematics, Chapts. IX; XI, §54, North-Holland & Noordhoff, 1959.
Odifreddi, P.: Classical recursion theory, North-Holland, 1989.
Uspenskiĭ, V.A.: Leçons sur les fonctions calculables, Hermann, 1966 (translated from the Russian).
Mal’tsev, A.I.: Algorithms and recursive functions, Wolters-Noordhoff, 1970 (translated from the Russian).
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Mendelson, E.: Introduction to mathematical logic, v. Nostrand, 1964.
Calude, C.: Theories of computational complexity, North-Holland, 1988.
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Herstein, I.: Noncommutative rings, Math. Assoc. Amer., 1968.
Rowen, L.: Ring theory, I, II, Acad. Press, 1988.
Lang, S.: Algebra, Addison-Wesley, 1984.
Gauss, C.F.: Disquisitiones Arithmeticae, Yale Univ. Press, 1966 (translated from the Latin).
Vinogradov, I.M.: Elements of number theory, Dover, 1954 (in Russian).
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Atiyah, M. F.: ‘Vector bundles over an elliptic curve’, Proc. London Math. Soc. (3) 7 (1957), 414–452.
Bungart, L.: ‘On analytic fibre bundles-I. Holomorphic fibre bundles with infinite dimensional fibres’, Topology 7 (1968), 55–68.
Frenkel, J.: ‘Cohomologie non Abélienne et espaces fibrés’, Bull. Soc. Math. France 85 (1957), 135–220.
Grauert, H.: ‘Analytische Faserungen über holomorphvollständigen Räumen’, Math. Ann. 135 (1958), 263–273.
Grothendieck, A.: ‘Sur la classification des fibres holomorphes sur la sphere de Riemann’, Amer. J. Math. 79 (1957), 121–138.
Ramanathan, A.: ‘Stable principal bundles on a compact Riemann surface’, Math. Ann. 213 (1975), 129–152.
Ven, A. van de: ‘Twenty years of classifying algebraic vectorbundles’, in A. Beauville (ed.): Journées de géométrie algébrique d’Angers, Sijthoff & Noordhoff, 1980, pp. 3-20.
Hartshorne, R.: ‘Four years of algebraic vectorbundles’, in A. Beauville (ed.): Journées de géométrie algébrique d’Angers, Sijthoff & Noordhoff, 1980, pp. 21-29.
Okonek, C., Schneider, M. and Spindler, H.: Vector bundles on complex projective spaces, Birkhäuser, 1980.
Hicks, N.J.: Notes on differential geometry, v. Nostrand, 1965.
Chen, B.Y.: Geometry of submanifolds, M. Dekker, 1973.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces, Springer, 1988 (translated from the French).
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1963.
Do Carmo, M.: Differential geometry of curves and surfaces, Prentice-Hall, 1976.
Guggenheimer, H.: Differential geometry, McGraw-Hill, 1963.
Hilbert, D. and Cohn-Vossen, S.: Geometry and the imagination, Chelsea, reprint, 1952 (translated from the German).
O’Neill, B.: Elementary differential geometry, Acad. Press, 1966.
Spivak, M.: A comprehensive introduction to differential geometry, 1–5, Publish or Perish, 1979.
Lyapin, E.S.: Semigroups, Amer. Math. Soc., 1974 (translated from the Russian).
Clifford, A.H. and Preston, G.B.: The algebraic theory of semigroups, 1–2, Amer. Math. Soc., 1961–1967.
Bishop, R.L. and Crittenden, R.J.: Geometry of manifolds, Acad. Press, 1964.
Nomizu, K.: Lie groups and differential geometry, Math. Soc. Japan, 1956.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Fibre spaces and their applications, Moscow, 1958 (in Russian; translated from the English).
Steenrod, N.E.: The topology of fibre bundles, Princeton Univ. Press, 1951.
Husemoller, D.: Fibre bundles, McGraw-Hill, 1966.
Dieudonné, J.: A history of algebraic and differential topology 1900–1960, Birkhauser, 1989.
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Grothendieck, A., et al. (eds.): Revêtements étales et groupe fondamental, Sem. Geom. Alg., 1, Springer, 1971.
Giraud, J.: Cohomologie non abélienne, Springer, 1971.
Serre, J.-P.: Cohomologie Galoisienne, Springer, 1973.
Demazure, M. and Gabriel, P.: Groupes algébriques, 1, Masson, 1970.
Lang, S. and Tate, J.: ‘Principal homogeneous spaces over abelian varieties’, Amer. J. Math. 80 (1958), 659–684.
Lyapin, E.S.: Semigroups, Amer. Math. Soc., 1963, Chapt. IV, Sect. 3 (translated from the Russian).
Beran, L.: Orthomodular lattices, Reidel, 1985, p. 4ff.
Grätzer, G.: Lattice theory, Freeman, 1971, p. 23ff.
Kurosh, A.G.: Lectures on general algebra, Chelsea, reprint, 1963, p. 78; 86; 162 (translated from the Russian).
Jacobson, N.: The theory of rings, Amer. Math. Soc., 1943.
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt.1; 2 (translated from the French).
Struik, D.J.: Lectures in classical differential calculus, Dover, reprint, 1988, p. 13.
Millman, R.S. and Parker, G.D.: Elements of differential geometry, Prentice Hall, 1977, p. 26.
Hörmander, L.: The analysis of linear partial differential operators, 1, Springer, 1983.
Carmichael, R.: Groups of finite order, Dover, reprint, 1956, p. 97.
Hall, M, jr.: The theory of groups, MacMillan, 1959, p. 124.
Huppert, B.: Endliche Gruppen, I, Springer, 1967, p. 64.
Hörmander, L.: The analysis of linear partial differential operators, II, Springer, 1983.
Chetaev, N.G.: Stability of motion, Moscow, 1965 (in Russian).
Lindsay, R.B. and Margenau, H.: Foundations of physics, Dover, reprint, 1957.
Germeĭer, Yu.B.: Introduction to the theory of operations research, Moscow, 1971 (in Russian).
Vorob’ev, N.N.: ‘The present state of the theory of differential games’, Russian Math. Surveys 25, no. 2 (1970), 77–136. (Uspekhi Mat. Nauk 25, no. 2 (1970), 81-140)
Germeĭer, Yu.B.: Non-antagonistic games, Reidel, 1986 (translated from the Russian).
Venttsel’, E.S.: Operations research, Moscow, 1972 (in Russian).
Vilkas, E.: ‘Axiomatic definition of the value of a matrix game’, Theory Probab. Appl. 8, no. 3 (1963), 304–307. (Teor. Veroyatnost. i Primenen. 8, no. 3 (1963), 324-327)
Basar, T. and Olsder, G.J.: Dynamic noncooperative game theory, Acad. Press, 1982.
Vorob’ev, N.N.: Game theory, Springer, 1977 (translated from the Russian).
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967, pp. 164-165.
Sacks, G.E.: Degrees of unsolvability, Princeton Univ. Press, 1961
Grünbaum, B.: Convex polytopes, Wiley, 1967.
Grünbaum, B.: Convex polytopes, Wiley, 1967.
Privalov, I.I.: Mat. Sb. 32 (1925), 464–471.
Privalov, I.I.: Subharmonic functions, Moscow-Leningrad, 1937 (in Russian).
Brelot, M: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Privalov, I.I.: ‘Sur les fonctions conjuguées’, Bull. Soc. Math. France 44 (1916), 100–103.
Privalov, I.I.: The Cauchy integral, Saratov, 1918 (in Russian).
Privalov, I.I.: Boundary properties of single-valued analytic functions, Moscow, 1941 (in Russian).
Priwalow, I.I. [I.I. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1–2, Cambridge Univ. Press, 1988.
Khvedelidze, B.V.: ‘The method of Cauchy-type integrals in the discontinuous boundary-value problems of the theory of holomorphic functions of a complex variable’, J. Soviet Math. 7, no. 3 (1977), 309–414. (Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 7 (1975), 5-162)
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Douady, A.: ‘Le problème des modules pour les sous-espaces analytiques compacts d’un espace analytique donné’, Ann. Inst. Fourier 16 (1966), 1–95.
Serre, J.-P.: Cohomologie Galoisienne, Springer, 1964.
Koch, H.: Galoissche Theorie der p-Erweiterungen, Deutsch. Verlag Wissenschaft., 1970.
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1967.
Golod, E.S. and Shafarevich, I.R.: ‘On the class field tower’, Izv. Akad. Nauk SSSR Ser. Mat. 28, no. 2 (1964), 261–272 (in Russian).
Kolmogorov, A.N.: Grundbegriffe der Wahrscheinlichkeitsrechnung, Chelsea, reprint, 1950 (translated from the Russian).
Finetti, B. de: Theory of probability, 1–2, Wiley, 1974.
Kolmogorov, A.N.: Foundations of the theory of probability, Chelsea, reprint, 1950 (translated from the Russian).
Gnedenko, B,V. and Kolmogorov, A.N.: Limit distributions for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Prokhorov, Yu.V.: ‘The method of characteristic functional’, in Proc. Fourth Berkeley Symp. Math. Stat. Probab., Vol. 2, Univ. Calif. Press, 1961, pp. 403-419.
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. Kedrova.
Gnedenko, B.V.: A course of probability theory, Moscow, 1969 (in Russian).
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Neveu, J.: Bases mathématiques du calcul des probabilités, Masson.1970.
Loève, M.: Probability theory, I-II, Springer, 1977.
Billingsley, P.: Probability and measure, Wiley, 1979.
Arley, N. and Buch, K.R.: Introduction to the theory of probability and statistics, Wiley, 1950.
Dixon, W.J. and Massey, F.J.: Introduction to statistical analysis, McGraw-Hill, 1957.
Bateman, H. and Erdélyi, A.: Higher transcendental functions, 2. Bessel functions, parabolic cylinder functions, orthogonal polynomials, McGraw-Hill, 1953.
Jahnke, E. and Emde, F.: Tables of functions with formulae and curves, Dover, reprint, 1945 (translated from the German).
Krazer, A. and Franz, W.: Transzendente Funktionen, Akademie-Verlag, 1960.
Lebedev, N.N.: Special functions and their applications, Prentice-Hall, 1965 (translated from the Russian).
Kolmogorov, A.N.: Foundations of the theory of probability, Chelsea, reprint, 1950 (translated from the Russian).
Gnedenko, B.V.: The theory of probability, Chelsea, reprint, 1962 (translated from the Russian).
Billingsley, P.: Probability and measure, Wiley, 1979.
Loève, M.: Probability theory, Springer, 1977.
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Ibragimov, I.A. and Linnik, Yu.V.: Independent and stationary sequences of random variables, Wolters-Noordhoff, 1971 (translated from the Russian).
Prokhorov, Yu. V.: ‘Multidimensional distributions: inequalities and limit theorems’, J. Soviet Math. 2, no. 5 (1976), 5–24. (Itogi Nauk, i Tekhn. 10 (1972))
Yurinskiĭ, V.V.: ‘Exponential bounds for large deviations’, Theory Probab. Appl. 19, no. 1 (1974), 154–159. (Teor. Veroyat-nost. i Primenen. 19, no. 1 (1974), 152-153)
Ellis, R.S.: Entropy, large deviations, and statistical mechanics, Springer, 1985.
Stroock, D.W.: An introduction to the theory of large deviations, Springer, 1984.
Wentzell, A.D.: Limit theorems on large deviations for Markov stochastic processes, Kluwer, 1990.
Cramér, H.: Sur un nouveau théorème-limite de la théorie des probabilités, Actualités Sci. et Industr., 5–24, Hermann, 1938.
Groeneboom, P., Oosterhoff, J. and Ruymgaart, F.H.: ‘Large deviation theorems for empirical probability measures’, Ann. Probl. 7 (1979), 553–586.
Kolmogorov, A.N.: Grundbegriffe der Wahrscheinlichkeitsrechnung, Chelsea, reprint, 1950 (translated from the Russian).
Gnedenko, B.V. and Kolmogorov, A.N.: Limit distributions for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Neveu, J.: Mathematical foundations of the calculus of probabilities, Holden-Day, 1965 (translated from the French).
Billingsley, P.: Probability and measure, Wiley, 1979.
Bernoulli, J.: Ars conjectandi, Basle, 1713.
Moivre, A. de: Doctrine of chances, Paris, 1756.
Laplace, P.S.: Theorie analytique des probabilités, Paris, 1812.
Chebyshev, P.L.: Oeuvres de P.L. Chebyshev, Chelsea, reprint, 1961.
Liapounoff, A.M. [A.M. Lyapunov]: Nouvelle forme du théorème sur la limite de probabilité, St. Petersburg, 1901.
Markov, A.A.:’ studies on a remarkable case of dependent trials’, Izv. Akad. N auk SSSR Ser. 6 1 (1907) (in Russian).
Markov, A.A.: Wahrscheinlichkeitsrechnung, Berlin, 1912 (translated from the Russian).
Bernshteĭn, S.N.: Probability theory, Moscow-Leningrad, 1946 (in Russian).
Gnedenko, B.V.: The theory of probability, Chelsea, reprint, 1962 (translated from the Russian).
Borovkov, A.A.: Wahrscheinlichkeitstheorie, Birkhäuser, 1976 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1–2, Wiley, 1957–1971.
Poincaré, H.: Calcul des probabilités, Gauthier-Villars, 1912.
Mises, R. von: Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und theoretischen Physik, Wien, 1931.
Gnedenko, B.V. and Kolmogorov, A.N.: ‘Probability theory’, in Mathematics in the USSR during 30 years: 1917–1947, Moscow-Leningrad, 1948, pp. 701-727 (in Russian).
Kolmogorov, A.N.: ‘Probability theory’, in Mathematics in the USSR during 40 years: 1917–1957, Vol. 1, Moscow, 1959 (in Russian).
Kolmogorov, A.N.: Grundbegriffe der Wahrscheinlichkeitsrechnung, Chelsea, reprint, 1950 (translated from the Russian).
Prohorov, Yu.V. [Yu.V. Prokhorov]: Probability theory, Springer, 1969 (translated from the Russian).
Billingsley, P.: Probability and measure, Wiley, 1979.
Breiman, L.: Probability, Addison-Wesley, 1968.
Chow, Y.S. and Tercher, H.: Probability theory. Independence, interchangeability, martingales, Springer, 1978.
Loève, M.: Probability theory, 1–2, Springer, 1977.
Carnap, R.: The logical foundations of probability, Univ. Chicago Press, 1962.
Finetti, B. de: Theory of probability, Wiley, 1974.
Bauer, H.: Probability theory and elements of measure theory, Holt, Rinehart & Winston, 1972.
Liptser, R.Sh. and Shiryayev, A.N.: Theory of martingales, Kluwer, 1989 (translated from the Russian).
Liptser, R.Sh. and Shiryayev, A.N.: Statistics of random processes, I–II, Springer, 1977–1978 (translated from the Russian).
Paulaskas, V. and Rackauskas, A.: Approximation theory in the central limit theorem, Kluwer, 1989 (translated from the Russian).
Gihman, I.I. [I.I. Gikhman] and Skorohod, A.V. [A.V. Skorokhod]: The theory of stochastic processes, I–III, Springer, 1974–1979 (translated from the Russian).
Dynkin, E.B.: Markov processes, I–II, Springer, 1965 (translated from the Russian).
Wentzell, A.D.: Limit theorems on large deviations for Markov stochastic processes, Kluwer, 1990 (translated from the Russian).
Skorohod, A.V.: Random processes with independent increments, Kluwer, 1991 (translated from the Russian).
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1966, Sect. 15.6.
Dubois, Ph.H.: Introduction to psychological statistics, Harper & Row, 1965, p. 287.
Hopcroft, J.E. and Ullman, J.D.: Introduction to automata theory, languages and computation, Addison-Wesley, 1979.
Whittaker, E. and Robinson, G.: The calculus of observations, Blackie, 1944.
Linnik, Yu.V.: Methoden der kleinsten Quadrate in moderner Darstellung, Deutsch. Verlag Wissenschaft., 1961 (translated from the 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).
Daletskiĭ, Yu. L.: ‘Functional integrals connected with operator evolution equations’, Russian Math. Surveys 17, no. 5 (1962), 1–107. (Uspekhi Mat. Nauk 17, no. 5 (1962), 3-115)
Potapov, V.P.: ‘The multiplicative structure of J-contractive matrix functions’, Trudy Moskov. Mat. Obshch. 4 (1955), 125–236 (in Russian).
Ginzburg, Yu.P.: ‘Multiplicative representations of J-contractive operator functions I’, Mat. Issled. (Kishinev) 2, no. 2 (1967), 52–83 (in Russian).
Reed, M. and Simon, B.: Methods of modern mathematical physics, 2, Acad. Press, 1972.
Dollard, J.D. and Friedman, Ch.N.: Product integration, Addison-Wesley, 1979.
Tsalenko, M.Sh. and Shul’geĭfer, E.G.: Fundamentals of category theory, Moscow, 1974 (in Russian).
MacLane, S.: ‘Duality for groups’, Bull. Amer. Math. Soc. 56 (1950), 485–516.
MacLane, S.: Categories for the working mathematician, Springer, 1971.
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Odifreddi, P.: Classical recursion theory, North-Holland, 1989, p. 306ff.
Serre, J.-P.: Cohomologie Galoisienne, Springer, 1964.
Koch, H.: Galoissche Theorie der p-Erweiterungen, Deutsch. Verlag Wissenschaft., 1970.
Cassels, J.W.S. and Fröhlich, A.: Algebraic number theory, Acad. Press, 1986.
Ershov, A.P.: ‘Human and aesthetic factors in programming’, Cybernetics 8, no. 5 (1972), 809–813. (Kibernetika 8, no. 5 (1972), 95-99)
Turski, W.M.: Methodology of programming, Moscow, 1981 (in Russian).
Aho, A. and Ullman, J.: The theory of parsing, translation and compiling, 2, Prentice-Hall, 1973.
Ershov, A.P. (ed.): The ALPHA automatic programming system, Acad. Press, 1971 (translated from the Russian).
Kas’yanov, V.N. and Pottosin, I.V.: The technology of translation, Novosibirsk, 1979 (in Russian).
Kas’yanov, V.N.: Optimizing program transformations, Moscow, 1988 (in Russian).
Lyubimskiĭ, E.Z., Martinyuk, V.V. and Trifonov, N.P.: Programming, Moscow, 1980 (in Russian).
Dykstra, E.W.: A discipline of programming, Prentice-Hall, 1976.
Meyer, B. and Baudoin, C: Méthodes de programmation, 1–2, Eyrolles, 1978.
Gries, D.: The science of programming, Springer, 1981.
Krinitskii, N.A., Mironov, G.A. and Frolov, T.D.: Programming and algorithmic languages, Moscow, 1979 (in Russian).
Pratt, T.: Programming languages: design and implementation, Prentice-Hall, 1975.
Tennent, R.D.: Principles of programming languages, Prentice Hall, 1981.
Henson, M.C.: Elements of functional languages, Blackwell, 1987.
King, K.N.: Modula-2, Heath, 1988.
Kerninghan, B.W. and Ritchie, D.M.: The C programming language, Prentice Hall, 1988.
Condillac, M.: Prolog, Dunod, 1986.
Findlay, W. and Watt, D.A.: Pascal, Pitman, 1981.
Malcolm, D.G., Rosenboom, J.H., Clark, C.E. and Fazar, W.: ‘Applications of a technique for research and development program evaluation’, Operations Research 7, no. 5 (1959), 646–669.
Kelley, J.E., Jr. and Walker, M.R.: ‘Critical path planning and scheduling’, in Proc. Eastern Joint Computer Conference, Boston, 1959.
Roy, B.: Cheminement et connexité dans les graphes. Application aux problèmes d’ordonnancement, Dunod, 1962.
Adel’son, G.M.: ‘On some aspects of project management’, in A.A. Fridman (ed.): Studies in Discrete Mathematics, Moscow, 1973, pp. 105-134 (in Russian).
Fulkerson, D.R.: ‘A network flow computation for project cost curves’, Manag. Sci. 7 (1961), 161–178.
Kelley, J.E., Jr.: ‘Critical path planning and scheduling. Mathematical basis’, Operations Research 9 (1961), 296–320.
Levner, E.V. and Nemirovsky, A.S.: ‘A network flow algorithm for just-in-time project scheduling’, in Proc. Sem. Project Management and Scheduling, Compiegne, 1990.
Ford, L.R., Jr. and Fulkerson, D.R.: Flows in networks, Princeton Univ. Press, 1962.
Moder, J.J. and Phillips, C.R.: Project management with CPM and PERT, v. Nostrand Reinhold, 1970.
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.: Sequencing and scheduling: algorithms and complexity, Report BS-R8909, CWI, Amsterdam, 1989.
Antonisse, J.M., Hee, K.M. van and Lenstra, J.K.: ‘Exercise-constrained project scheduling: an international exercise in DSS development’, in A. Lewandowski (ed.): Internat. Comparative Study in DSS, NASA, Laxenburg, 1988.
Berger, M.: Geometry, I, Springer, 1987, Sect. 2.4.9.6 (translated from the French).
Birman, M.S. and Solomyak, M.Z.: Spectral theory of self-adjoint operators in Hilbert space, Reidel, 1987 (translated from the Russian).
Dunford, N. and Schwartz, J.T.: Linear operators, I, Wiley, 1988.
Krasnosel’skiĭ, M.A., et al.: Approximate solution of operator equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Fletcher, C.A.J.: Computational Galerkin methods, Springer, 1984.
Aleksandrov, P.S.: ‘Une définition des nombres de Betti pour un ensemble fermé quelconque’, C.R. Acad. Sci. Paris 184 (1927), 317–319.
Aleksandrov, P.S.: ‘Untersuchungen über Gestalt und Lage abgeschlossener Mengen beliebiger Dimension’, Ann. of Math. 30 (1929), 101–187.
Aleksandrov, P.S.: ‘On the concept of space in topology’, Uspekhi Mat. Nauk 2, no. 1 (1947), 5–57 (in Russian).
Aleksandrov, P.S.: Einführung in die Mengenlehre und die allgemeine Topologie, Deutsch. Verlag Wissenschaft., 1984 (translated from the Russian).
Aleksandrov, P.S. and Ponomarev, V.I.: ‘Projection spectra’, in J. Novák (ed.): General Topology and Its Relations to Modern Analysis and Algebra, Vol. 2, Czechoslovak. Acad. Sci., 1967, pp. 25-30 (in Russian).
Aleksandrov, P.S. and Fedorchuk, V.V.: ‘The main aspects in the development of set-theoretical topology’, Russian Math. Surveys 33, no. 3 (1978), 1–53. (Uspekhi Mat. Nauk 33, no. 3 (1978), 3-48)
Ponomarev, V.I.: ‘Projective spectra and continuous mappings of paracompacta’, Transl. Amer. Math. Soc. (2) 39 (1964), 133–164. (Mat. Sb. 60, no. 1 (1963), 89-119)
Zaĭtsev, V.I.: ‘Projection spectra’, Trans. Moscow Math. Soc. 27 (1972), 135–200. (Trudy Moskov. Mat. Obshch. 27 (1972), 129-119)
Eilenberg, S. and Steenrod, N.: Foundations of algebraic topology, Princeton Univ. Press, 1966.
Mardešić, S.: ‘On covering dimension and inverse limits of compact spaces’, III. J. Math. 4 (1960), 278–291.
Mardešić, S. and Rubin, L.: ‘Approximate inverse systems of compacta and covering dimension’, Pacific J. Math. 138 (1989), 129–144.
Mardešić, S. and Segal, J.: ‘Stability of almost commutative inverse systems for compacta’, Topology Appl. 31 (1989), 285–299.
Pasynkov, B.A.: ‘On spectra and dimension of topological spaces’, Mat. Sb. 57 (99) (1962), 449–476 (in Russian).
Hodge, W.V.D. and Pedoe, D.: Methods of algebraic geometry, 1, Cambridge Univ. Press, 1947.
Artin, E.: Geometric algebra, Interscience, 1957.
Hilbert, D.: Grundlagen der Geometrie, Teubner, reprint, 1968.
Baer, R.: Linear algebra and projective geometry, Acad. Press, 1952.
Coxeter, H.S.M.: The real projective plane, Cambridge Univ. Press, 1961.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Zariski, O. and Samuel, P.: Commutative algebra, 1–2, Springer, 1975.
Mumford, D.: Algebraic geometry, 1: Complex projective varieties, Springer, 1976.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Cartan, E.: ‘Sur les variétés à connexion protective’, Bull. Soc. Math. France 52 (1924), 205–241.
Cartan, E.: Leçons sur la théorie des espaces à connexionprojective, Gauthier-Villars, 1937.
Kobayashi, S. and Nagano, T.: ‘On projective connections’, J. Math, and Mech. 13, no. 2 (1964), 215–235.
Kobayashi, S.: Transformation groups in differential geometry, Springer, 1972.
Hodge, W.V.D. and Pedoe, D.: Methods of algebraic geometry, 1, Cambridge Univ. Press, 1947.
Bass, H.: ‘Finitistic homological dimension and a homological generalization of semi-primary rings’, Trans. Amer. Math. Soc. 95 (1960), 466–488.
Popescu, N.: Abelian categories with applications to rings and modules, Acad. Press, 1973, Sect. 3.10.
Finikov, S.P.: Projective-differential geometry, Moscow-Leningrad, 1937 (in Russian).
Norden, A.P.: Spaces with an affine connection, Moscow-Leningrad, 1976 (in Russian).
Kobayashi, S.: Transformation groups in differential geometry, Springer, 1972.
Efimov, N.V.: Higher geometry, Mir, 1980 (translated from the Russian).
Glagolev, N.A.: Projective geometry, Moscow, 1963 (in Russian).
Busemann, H. and Kelly, P.J.: Projective geometry and projective metrics, Acad. Press, 1953.
Kobayashi, S.: Transformation groups in differential geometry, Springer, 1972.
Wilczynski, F.: ‘Geometria projectiva differenziale’, Mém. Acad. Belgique 3, no. 2 (1911).
Fubini, G. and Čech, E.: Geometria projettiva differenziale, 1–2, Zanichelli, 1926-1927.
Bol, G.: Projektive Differentialgeometrie, 1–3, Vandenhoeck & Ruprecht, 1950–1967.
Finikov, S.P.: Projective differential geometry, Moscow-Leningrad, 1937 (in Russian).
Finikov, S.P.: Theorie der Kongruenzen, Akademie-Verlag, 1959 (translated from the Russian).
Norden, A.P.: Spaces with an affine connection, Nauka, Moscow-Leningrad, 1976 (in Russian).
Kagan, V.F.: Foundations of the theory of surfaces in a tensor setting, 2, Moscow-Leningrad, 1948 (in Russian).
Cartan, E.: Leçons sur la théorie des espaces à connexion projective, Gauthier-Villars, 1937.
Fubini, G. and Čech, E.: Introduction à la géométrie projective différentielle des surfaces, Gauthier-Villars, 1931.
Glagolev, N.A.: Projective geometry, Moscow-Leningrad, 1963 (in Russian).
Hilbert, D. and Cohn-Vossen, S.E.: Anschauliche Geometrie, Springer, 1932.
Coxeter, H.S.M.: The real projective plane, Cambridge Univ. Press, 1961.
Hilbert, D.: Grundlagen der Geometrie, Springer, 1913.
Hartshorne, R.: Foundations of projective geometry, Benjamin, 1967.
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Aleksandrov, P.S.: Lectures on analytic geometry, Moscow, 1968 (in Russian).
Efimov, N.V. and Rozendorn, E.R.: Linear algebra and multi-dimensional geometry, Moscow, 1970 (in Russian).
Artin, E.: Geometric algebra, Interscience, 1957.
Veblen, O. and Young, J.W.: Projective geometry, 1–2, Blaisdell, 1938–1946.
Blaschke, W.: Projektive Geometrie, Wolfenbütteler Verlagsanstalt, 1947.
Dieudonné, J.A.: La géométrie des groupes classiques, Springer, 1955.
Carter, R.W.: Simple groups of Lie type, Wiley, 1972, Chapt. 1.
Kan, D.M.: ‘Adjoint functors’, Trans. Amer. Math. Soc. 87 (1958), 294–329.
MacLane, S.: Categories for the working mathematician, Springer, 1971.
Busemann, H. and Kelley, P.J.: Projective geometry andprojective metrics, Acad. Press, 1953.
‘Hilbert’s problems’, Bull. Amer. Math. Soc. 8 (1902), 437-479 (translated from the German).
Busemann, H.: The geometry of geodesics, Acad. Press, 1955.
Busemann, H.: Metric methods in Finster spaces and in the foundations of geometry, Princeton Univ. Press, 1942.
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
Kaplansky, J.: ‘Protective modules’, Ann. of Math. 68, no. 2 (1958), 372–377.
Suslin, A.A.: ‘Projective modules over a polynomial ring are free’, Soviet Math. Dokl. 17, no. 4 (1976), 1160–1164. (Dokl. Akad. Nauk SSSR 229, no. 5 (1976), 1063-1066)
Quillen, D.: ‘Projective modules over polynomial rings’, Invent. Math. 36 (1976), 167–171.
Bass, H.: Algebraic K-theory, Benjamin, 1968.
Serre, J.-P.: ‘Faisceaux algébriques cohérents’, Ann. of Math. 61 (1975), 197–278.
Lam, T.Y.: Serre’s conjecture, Springer, 1978.
Ojanguran, M. and Sridharan, R.: ‘Cancellation of Azumaya algebras’, J. of Algebra 18 (1971), 501–505.
Kunz, E.: Introduction to commutative algebra and algebraic geometry, Birkhäuser, 1985.
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).
Finikov, S.P.: Projective differential geometry, Moscow-Leningrad, 1937 (in Russian).
Bol, G.: Projektive differentialgeometrie, I, II, Vandenhoeck & Ruprecht, 1950.
Cartan, E.: Leçons sur la theorie des espaces à connexion projective, Gauthier-Villars, 1937.
Fubini, G. and Čech, E.: Introduction à la géométrie projective différentielle des surfaces, Gauthier-Villars, 1931.
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
MacLane, S.: Homology, Springer, 1963.
Blass, A.R.: ‘Injectivity, projectivity and the axiom of choice’, Trans. Amer. Math. Soc. 255 (1979), 31–59.
Coxeter, H.S.M.: Projective geometry, Cambridge Univ. Press, 1987.
Baer, R.: Linear algebra and projective geometry, Acad. Press, 1972.
Skornyakov, L.A.: ‘Projective planes’, Uspekhi Mat. Nauk 6, no. 6 (1951), 112–154 (in Russian).
Karteszi, F.: Introduction to finite geometries, North-Holland, 1976.
Hall, M: The theory of groups, MacMillan, 1959, Chapt. 20.
Dembowski, P.: Finite geometries, Springer, 1968.
Room, T.G. and Kirkpatrick, P.B.: Miniquaternion geometry, Cambridge Univ. Press, 1971.
Kantor, W.M.: ‘Primitive permutation groups of odd degree, and an application to finite projective planes’, J. Algebra 106 (1987), 15–45.
Pickert, G.: Projektive Ebenen, Springer, 1975.
Hughes, D.R. and Piper, F.C.: Projective planes, Springer, 1973.
Lüneburg, H.: Translation planes, Springer, 1979.
Staudt, K.G.C. von: Beiträge zur Geometrie der Lage, I, Nürnberg, 1865.
Fano, G.: ‘Sui postulati fondamentali della geometria proiettiva’, Giornale di Mat. 30 (1892), 106–132.
Singer, I.: ‘A theorem in finite projective geometry and some applications to number theory’, Trans. Amer. Math. Soc. 43 (1938), 377–385.
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Curtis, C. and Reiner, I.: Representation theory of finite groups and associative algebras, Interscience, 1962.
Mackey, G.W.: ‘Unitary representations of group extensions, I’, Acta Math. 99 (1958), 265–311.
Bargmann, V.: ‘Irreducible unitary representations of the Lorentz group’, Ann. of Math. 48 (1947), 568–640.
Curtis, C. and Reiner, I.: Methods of representation theory, 1–2, Wiley, 1981–1987.
Isaacs, I.M.: Character theory of finite groups, Acad. Press, 1976.
Mumford, D.: Algebraic geometry, 1. Complex projective varieties, Springer, 1976.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Lusin, N.N.: ‘Sur les ensembles projectifs de M. Henri Lebesgue’, CR. Acad. Sci. Paris 180 (1925), 1572–1574.
Sierpiński, W.: ‘Sur une classe d’ensembles’, Fund. Math. 7 (1925), 237–243.
Kuratowski, K.: Topology, 1, Acad. Press, 1966 (translated from the French).
Kuratowski, K. and Mostowski, A.: Set theory, North-Holland, 1976 (translated from the Polish).
Sierpinski, W.: Les ensembles projectifs et analytiques, Gauthier-Villars, 1950.
Luzin, N.N.: Collected works, Vol. 2, Moscow, 1958, p. 242; 268 (in Russian).
Jech, T.J.: Set theory, Acad. Press, 1978.
Hinman, P.: Recursion-theoretic hierarchies, Springer, 1978.
Novikov, P.S.: Selected works, Moscow, 1979 (in Russian).
Kozlova, Z.I.: ‘On projective operations and the separability of projective sets’, Izv. Akad. Nauk SSSR Ser. Mat. 26, no. 2 (1962), 223–260 (in Russian).
Kantorovich, L.V. and Livenson, E.M.: Fund. Math. 18 (1932), 214–279.
Martin, D.A.: ‘Descriptive set theory: projective sets’, in J. Barwise (ed.): Handbook of Mathematical Logic, North-Holland, 1977, pp. 783-815.
Moschovakis, Y.: ‘New methods and results in descriptive set theory’, in Proc. Internat. Congress Mathematicians, Vancouver 1974, Vol. 1, Canad. Math. Congres, 1975, pp. 251-257.
Kanoveĭ, V.G.: ‘On some problems of descriptive set theory and the connection between constructability and definability’, Soviet Math. Dokl. 22, no. 1 (1980), 163–167. (Dokl. Akad. Nauk SSSR 253, no. 4 (1980), 800-803)
Lyubetskiĭ, V.A.: ‘Random sequences of numbers, and A 2-sets’, in Studies in Set Theory and Non-Classical Logics, Moscow, 1976, pp. 96-122 (in Russian).
Kechris, A.: ‘On transfinite sequences of projective sets with an application to ∑2 equivalence relations’, in Logic Colloquium’ 77, North-Holland, 1978, pp. 155-160.
Mauldin, R.: ‘Non-isomorphic projective sets’, Mathematika 23, no. 2 (1976), 151–155.
Marcus, S.: ‘Hamelsche Basis und projective Mengen’, Math. Nachr. 17, no. 3–6 (1959), 143–150.
Kozlova, Z.I. and Filippov, V.P.: ‘Classes of projective sets in certain topological spaces of uncountable weight II’, Soviet Math. Izv. Vuz. 22, no. 7 (1978), 27–31. (Izv. Vyzov. Mat. 7 (1978), 33-39)
Artin, E.: Geometric algebra, Interscience, 1957.
Hodge, W.V.D. and Pedoe, D.: Methods of algebraic geometry, 1, Cambridge Univ. Press, 1947.
Dembowski, P.: Finite geometries, Springer, 1968.
Segre, B.: Lectures on modern geometry, Cremonese, 1961.
Veblen, O. and Young, J.W.: Projective geometry, 1–2, Blaisdell, 1938–1946.
Baer, R.: Linear algebra and projective geometry, Acad. Press, 1952.
Mumford, D.: Lectures on curves on an algebraic surface, Princeton Univ. Press, 1966.
Grothendieck, A.: ‘Eléments de géométrie algébrique’, Publ. Math. IHES 1–4 (1960–1967).
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Glagolev, N.A.: Projective geometry, Moscow, 1963 (in Russian).
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Hughes, D.R. and Piper, F.C.: Projective planes, Springer, 1973.
Kustaanheimo, P.: ‘On a relation of order in geometries over a Galois field’, Soc. Sci. Fenn. Comment. Phys.-Math. 20, no. 8 (1957).
Veblen, O. and Young, J.W.: Projective geometry, 1, Blaisdell, 1938.
Hirschfeld, J.W.P.: Projective geometries over finite fields, Clarendon Press, 1979.
Baer, R.: Linear algebra and projective geometry, Acad. Press, 1952.
Hodge, W.V.D. and Pedoe, D.: Methods of algebraic geometry, 1, Cambridge Univ. Press, 1947.
Dunford, N. and Schwartz, J.T.: Linear operators, Wiley-Interscience, 1988, Chapts. X; XV.
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Arnol’d, V.I.: Ordinary differential equations, M.I.T., 1973 (translated from the Russian).
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.
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Cesari, L.: Asymptotic behavior and stability problems in ordinary differential equations, Springer, 1959.
Wintner, A.: ‘The non-local existence problem of ordinary differential equations’, Amer. J. Math. 67 (1945), 277–284.
Shemetkov, L.A.: Formations of finite groups, Moscow, 1978 (in Russian).
Robinson, D.J.S.: A course in the theory of groups, Springer, 1982.
Kleene, S.C.: Mathematical logic, Wiley, 1967.
Fraenkel, A. and Bar-Hille, Y.: Foundations of set theory, North-Holland, 1958.
Ershov, Yu.L., Lavrov, I.A., Taimanov, A.D. and Taĭtslin, M.A.: ‘Elementary theories’, Russian Math. Surveys 20, no. 4 (1965), 35–105. (Uspekhi Mat. Nauk. 20, no. 4 (1965), 37-108)
Takeuti, G.: Proof theory, North-Holland, 1975.
Girard, J.-Y.: Proof theory and logical complexity, 1, Bibliopolis, 1987.
Bell, J. and Machover, M.: A course in mathematical logic, North-Holland, 1977.
Manin, Yu.L.: A course in mathematical logic, Springer, 1977 (translated from the Russian).
Barwise, J. (ed.): Handbook of mathematical logic, North-Holland, 1977.
Grothendieck, A. and Dieudonné, J.: ‘Eléments de géométrie algébrique’, Publ. Math. IHES 2–3 (1961–1963).
Artin, M., Grothendieck, A. and Verdier, J.L. (eds.): ‘Théorie des topos et cohomologie étale des schémas’, in SGA 4, Lecture notes in math., Vol. 269; 270; 305, Springer, 1972–1973.
Grothendieck, A. (ed.): ‘Revêtements étales et groupe fondamental’, in SGA 1, Lecture notes in math., Vol. 224, Springer, 1971.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Bourbaki, N.: Elements of mathematics. General topology, Chapt. I, §10, Addison-Wesley, 1966 (translated from the French).
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Bell, J. and Machover, M.: A course in mathematical logic, North-Holland, 1977.
Wójcicki, R.: Theory of logical calculi, Kluwer, 1988.
Tarski, A.: Introduction to logic, Oxford Univ. Press, 1946.
Kleene, S.C.: Introduction to metamathematics, North-Holland & Noordhoff, 1959.
Strawson, P.F.: Introduction to logical theory, Methuen, 1952.
Bell, J. and Machover, M.: A course in mathematical logic, North-Holland, 1977.
Mendelson, E.: Introduction to mathematical logic, v. Nostrand, 1964.
Ziembinski, Z.: Practical logic, Reidel, 1976, Chapt. V, § 5.
Wójcicki, R.: Theory of logical calculi, Kluwer, 1988, p. 13; 61.
Kleene, S.C.: Introduction to metamathematics, North-Holland & Noordhoff, 1959, p. 144; 226.
Kleene, S.C.: Introduction to metamathematics, North-Holland & Noordhoff, 1959.
Wójcicki, R.: Theory of logical calculi, Kluwer, 1988, p. 12.
Efremovich, V.A.: ‘Infinitesimal spaces’, Dokl. Akad. Nauk SSSR 76 (1951), 341–343 (in Russian).
Efremovich, V.A.: ‘Geometry of proximities I’, Mat. Sb. 31 (73), no. 1 (1952), 189–200 (in Russian).
Riesz, F.:’ stetigkeitsbegriff und abstrakte Mengen’, in Internat. Congress Mathematicians IV, Rome, Vol. 2, R. Accad. Lincei, Rome, 1909, pp. 18-24.
Smirnov, Yu. M.: ‘On proximity spaces’, Mat. Sb. 31 (73), no. 3 (1952), 543–574 (in Russian).
Smirnov, Yu. M.: ‘On the completeness of proximity spaces I’, Trudy Moskov. Mat. Obshch. 3 (1954), 271–306 (in Russian).
Smirnov, Yu. M.: ‘On the completeness of proximity spaces II’, Trudy Moskov. Mat. Obshch. 4 (1955), 421–438 (in Russian).
Smirnov, Yu. M.: ‘On dimensions of proximity spaces’, Mat. Sb. 38(80), no. 3 (1956), 283–302 (in Russian).
Polyakov, V.Z.: ‘Regularity and the product of proximity spaces’, Mat. Sb. 67 (109), no. 3 (1965), 428–439 (in Russian).
Polyakov, V.Z.: ‘On the regularity of the proximity product of regular spaces’, Mat. Sb. 68 (110), no. 2 (1965), 242–250 (in Russian).
Polyakov, V.Z.: ‘On extension of Cartesian products’, Math. USSR-Sb. 5, no. 4 (1968), 559–569 (Mat. Sb. 76 (118), no. 4 (1968), 593-604)
Samuel, P.: ‘Ultrafilters and compactifications of uniform spaces’, Trans. Amer. Math. Soc. 64 (1948), 100–132.
Isbell, J.R.: ‘On finite-dimensional uniform spaces’, Pacific J. Math. 9 (1959), 107–121.
Naimpally, S.A. and Warrack, B.D.: Proximity spaces, Cambridge Univ. Press, 1970.
Radó, T.: ‘Ueber den Begriff der Riemannschen Flächen’, Acta Szeged 2 (1925), 101–121.
Calabi, E. and Rosenlicht, M.: ‘Complex analytic manifolds without countable base’, Proc. Amer. Math. Soc. 4 (1953), 335–340.
Springer, G.: Introduction to Riemann surfaces, Addison-Wesley, 1957.
Nevanlinna, R.: Uniformisierung, Springer, 1953.
Bing, R.H.: ‘A homogeneous indecomposable plane continuum’, Duke Math. J. 15 (1948), 729–742.
Bing, R.H.: ‘On snake-like continua’, Duke Math. J. 18 (1951), 853–863.
Bing, R.H.: ‘Concerning hereditarily indecomposable continua’, Pacific J. Math. 1 (1951), 43–51.
Bing, R.H.: ‘Each homogeneous nondegenerate chainable continuum is a pseudo-arc’, Proc. Amer. Math. Soc. 10 (1959), 345–346.
Krasinkiewicz, J.: ‘Mapping properties of hereditarily indecomposable continua’, Houston J. Math. 8 (1982), 507–516.
Krasinkiewicz, J. and Minc, P.: ‘Mappings onto indecomposable continua’, Bull. Acad. Polon. Sci. 25 (1977), 675–680.
Moïse, E.E.: ‘An indecomposable plane continuum which is homeomorphic to each of its non-degenerate subcontinua’, Trans. Amer. Math. Soc. 63 (1948), 581–594.
Oversteegen, L. and Tymchatyn, E.: ‘On hereditarily indecomposable compacta’, in H. Toruńczyk, S. Jackowski and S. Spiez (eds.): Geometric & Algebraic Topology, Banach Center Publ., Vol. 18, P.W.N., 1986, pp. 407-417.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Skolem, T.: ‘Untersuchungen über die Axiome des Klassenkalküls und über Produktations-und Summationsprobleme, welche gewisse Klassen von Aussagen betreffen’, in Selected works in logic, Universitetsforlaget Oslo, 1970, pp. 67-101.
McKinsey, J.C.C. and Tarski, A.: ‘On closed elements in closure algebras’, Ann. of Math. 47 (1946), 122–162.
Rasiowa, H. and Sikorski, R.: The mathematics of metamathematics, PWN, 1963.
Dragalin, A.G.: Mathematical intuitionism: an introduction to proof theory, Amer. Math. Soc., 1988 (translated from the Russian).
Fourman, M.P. and Scott, D.S.:’ sheaves and logic’, in C.J. Mulvey, M.P. Fourman and D.S. Scott (eds.): Applications of Sheaves, Lecture notes in math., Vol. 753, Springer, 1979, pp. 302-401.
Balbes, R. and Dwinger, P.: Distributive lattices, Univ. of Missouri Press, 1974.
Freyd, P.J.: ‘Aspects of topoi’, Bull. Austral. Math. Soc. 7 (1972), 1–76.
Johnstone, P.T.: Stone spaces, Cambridge Univ. Press, 1982.
Rasiowa, H.: An algebraic approach to non-classical logics, North-Holland, 1974.
Urquhart, A.: ‘Free Heyting algebras’, Algebra Universalis 3 (1973), 94–97.
Vickers, S.: Topology via logic, Cambridge Univ. Press, 1989.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Arkhangel’skiĭ, A.V.: ‘Classes of topological groups’, Russian Math. Surveys 36, no. 3 (1981), 151–174. (Uspekhi Mat. Nauk 36, no. 3 (1981), 127-146)
Engelking, R.: General topology, Heldermann, 1989.
Kunen, K. and Vaughan, J.E. (eds.): Handbook of set-theoretic topology, North-Holland, 1984, Chapts. 1–2.
Engelking, R.: General topology, Heldermann, 1989.
Arkhangel’skiĭ, A.V. and Ponomarev, V.l.: Fundamentals of general topology: problems and exercises, Reidel, 1984, p. 136 (translated from the Russian).
Ermine, J.: ‘Cohérence de certaines images directes à supports propres dans le cas d’un morphisme fortement p-convexe’, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 6 (1979), 1–18.
Onishchik, A.L.: ‘Pseudoconvexity in the theory of complex spaces’, J. Soviet Math. 14 (1980), 1363–1407. (Itogi Nauk. i Tekhn. Algebra Topol. Geom. 15 (1977), 93-171)
Catlin, D.: ‘Boundary invariants of pseudo-convex domains’, Ann. of Math. 120 (1984), 529–586.
Catlin, D.: ‘Subelliptic estimates for the \(\bar \partial \)-Neumann problem on pseudo-convex domains’, Ann. of Math. 126 (1987), 131–191.
d’Angelo, J.: ‘Real hy persurfaces, orders of contact, and applications’, Ann. of Math. 115 (1982), 615–637.
d’Angelo, J.: ‘Finite type conditions for real hypersurfaces in C n’, in S.G. Krantz (ed.): Complex Analysis, Lecture notes in math., Vol. 1268, Springer, 1987, pp. 83-110.
Fefferman, C.L. and Kohn, J.J.: ‘Hölder estimates on domains of complex dimension two and on three dimensional CR manifolds’, Adv. in Math. 69 (1988), 223–303.
Folland, G.B. and Kohn, J.J.: The Neumann problem for the Cauchy—Riemann complex, Ann. of Math. Studies, 75, Princeton Univ. Press, 1972.
Greiner, P.: ‘On subelliptic estimates of the \(\bar \partial \)-Neumann problem in C2’, J. Diff. Geometry 9 (1974), 239–250.
Hörmander, L.: The analysis of linear partial differential operators, 3, Springer, 1985, Chapt. 22.
Kohn, J.J.: ‘Boundary behavior of \(\bar \partial \) on weakly pseudo-convex domains’, J. Diff. Geometry 6 (1972), 523–542.
Kohn, J.J. and Nirenberg, L.: ‘A pseudo-convex domain not admitting a holomorphic support function’, Math. Ann. 201 (1973), 265–268.
Sibony, N.: ‘Une classe de domaines pseudo-convexes’, Duke Math. J. 55 (1987), 299–319.
Henkin, G.M. and Leiterer, J.: Andreotti—Grauert theory by integral formulas, Akad. Verlag, 1988.
Henkin, G.M. and Leiterer, J.: Theory of functions on complex manifolds, Birkhäuser, 1983.
Krantz, S.G.: Function theory of several complex variables, Wiley, 1982.
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986.
Kohn, J.J. and Nirenberg, L.: ‘An algebra of pseudo-differential operators’, Commun. Pure Appl. Math. 18, no. 1–2 (1965), 269–305.
Hörmander, L.: ‘Pseudo-differential operators’, Commun. Pure Appl. Math. 18, no. 3 (1965), 501–517.
Kohn, J.J. and Nirenberg, L.: ‘Non-coercive boundary value problems’, Commun. Pure Appl. Math. 18, no. 3 (1965), 443–492.
Hörmander, L.: ‘Pseudo-differential operators and non-elliptic boundary problems’, Ann. of Math. 83, no. 1 (1966), 129–209.
Hörmander, L.: ‘Pseudo-differential operators and hypoelliptic equations’, in A.P. Calderòn (ed.): Singular Integrals, Proc. Symp. Pure Math., Vol. 10, Amer. Math. Soc., 1966, pp. 138-183.
Agranovich, M.S. and Vishik, M.I.: Pseudo-differential operators, Moscow, 1988 (in Russian).
Eskin, G.I.: Boundary value problems for elliptic pseudodifferential equations, Amer. Math. Soc., 1981 (translated from the Russian).
Grushin, V.V.: Pseudodifferential operators, Moscow, 1975 (in Russian).
Shubin, M.A.: Pseudodifferential operators and spectral theory, Springer, 1987 (translated from the Russian).
Friedrichs, K.O.: Pseudo-differential operators, Courant Inst., 1970.
Trèves, F.: Introduction to pseudodifferential and Fourier integral operators, 1-2, Plenum, 1980.
Taylor, M.: Pseudo-differential operators, Springer, 1974.
Kumanogo, H.: Pseudo-differential operators, M.I.T., 1981.
Duistermaat, J.: Fourier integral operators, Courant Inst., 1973.
Maslov, V.P. and Fedoryuk, M.V.: Quasi-classical approximation for the equations of quantum mechanics, Reidel, 1981 (translated from the Russian).
Agranovich, M.S.: ‘Elliptic singular integro-differential operators’, Russian Math. Surveys 20, no. 5 (1965), 1–121. (Uspekhi Mat. Nauk 20, no. 5 (1965), 3-120)
Boutet de Monvel, L.: ‘Boundary value problems for pseudodifferential operators’, Acta Math. 126 (1971), 11–51.
Hörmander, L.: ‘The Weyl calculus of pseudo-differential operators’, Commun. Pure Appl. Math. 32, no. 3 (1979), 359–443.
Cordes, H.O.: Elliptic pseudo-differential operators — an abstract theory, Lecture notes in math., 756, Springer, 1979.
Cordes, H.O.: Spectral theory of linear differential operators and comparison algebras, Cambridge Univ. Press, 1986.
Egorov, Yu.V.: Linear differential equations of principal type, Consultants Bureau, 1986 (translated from the Russian).
Grubb, G.: Functional calculus of pseudo-differential boundary problems, Birkhäuser, 1986.
Helffer, B.: ‘Théorie spectrale pour des opérateurs globalement elliptiques’, Astérisque 112 (1984).
Hörmander, L.: ‘Pseudo-differential operators of type 1,1’, Comm. Partial Diff Eq. 13, no. 9 (1988), 1085–1111.
Hörmander, L.: ‘Continuity of pseudo-differential operators of type 1,1’, Comm. Partial Diff. Eq. 14, no. 2 (1989), 231–243.
Ivrii, V.: Precise spectral asymptotics for elliptic operators, Lecture notes in math., 1100, Springer, 1984.
Rempel, S. and Schulze, B.-W.: Index theory of elliptic boundary problems, Akad. Verlag, 1982.
Hörmander, L.: The analysis of linear partial differential operators, 1–4, Springer, 1983–1985.
Plamenevskiĭ, B.A.: Algebras of pseudodifferential operators, Kluwer, 1989 (translated from the Russian).
Taylor, M: Pseudodifferential operators, Princeton Univ. Press, 1981.
Chazarain, J. and Piriou, A.: Introduction to the theory of linear partial differential equations, North-Holland, 1982 (translated from the French).
Efimov, N.V. and Rozendorn, E.R.: Linear algebra and multi-dimensional geometry, Moscow, 1970 (in Russian).
Rozenfel’d, B.A.: Multi-dimensional spaces, Moscow, 1966 (in Russian).
Landau, L.D. and Lifshitz, E.M.: The classical theory of fields, Addison-Wesley, 1962 (translated from the Russian).
Witt, E.: Theorie der quadratischen Formen in beliebigen Körpern’, J. Reine Angew. Math. 176 (1937), 31–44.
Dieudonné, J.: La géométrie des groupes classiques, Springer, 1955.
Hawking, S. and Ellis, G.: The large scale structure of space-time, Cambridge Univ. Press, 1973.
Misner, C, Thorne, K. and Wheeler, J.: Gravitation, Freeman, 1973.
O’Neill, B.: Semi-Riemannian geometry, Acad. Press, 1983.
Rozenfel’d, B.A.: Non-Euclidean spaces, Moscow, 1969 (in Russian).
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1968.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Cartan, E.:’ sur la structure des groupes infinis de transformations’, in Oeuvres complètes, Vol. 2, Gauthier-Villars, 1953, pp. 571-624.
Cartan, E.:’ sur la structure des groupes infinis de transformations’, in Oeuvres complètes, Vol. 2, Gauthier-Villars, 1953, pp. 625-714.
Cartan, E.: ‘Les groupes de transformations continus, infinis, simples’, in Oeuvres complètes, Vol. 2, Gauthier-Villars, 1953, pp. 857-925.
Cartan, E.: ‘Les groupes de transformations continus, infinis, simples’, in Oeuvres complètes, Vol. 2, Gauthier-Villars, 1953, pp. 1335-1384.
Guillemin, V.: ‘Infinite dimensional primitive Lie algebras’, J. Diff. Geom. 4, no. 3 (1970), 257–282.
Kobayashi, S.: Transformation groups in differential geometry, Springer, 1972.
Kobayashi, S. and Nagano, T.: ‘On filtered Lie algebras and geometric structures I’, J. Math. Mech. 13, no. 5 (1964), 875–907.
Kobayashi, S. and Nagano, T.: ‘On filtered Lie algebras and geometric structures III’, J. Math. Mech. 14, no. 5 (1965), 679–706.
Kuranishi, M.: ‘On the local theory of continuous infinite pseudo groups I’, Nagoya Math. J. 15 (1959), 225–260.
Kuranishi, M.: ‘On the local theory of continuous infinite pseudo groups II’, Nagoya Math. J. 19 (1961), 55–91.
Libermann, P.: ‘Pseudogroupes infinitésimaux attachées aux pseudogroupes de Lie’, Bull. Soc. Math. France 87, no. 4 (1959), 409–425.
Shnider, S.: ‘The classification of real primitive infinite Lie algebras’, J. Diff Geom. 4, no. 1 (1970), 81–89.
Singer, I.M. and Sternberg, S.: ‘The infinite groups of Lie and Cartan. I. The transitive groups’, J. d’Anal. Math. 15 (1965), 1–114.
Wilson, R.L.: ‘Irreducible Lie algebras of infinite type’, Proc. Amer. Math. Soc. 29, no. 2 (1971), 243–249.
Albert, C. and Molino, P.: Pseudogroupes de Lie transitifs, I-II, Hermann, 1984–1987.
Pommaret, J.F.: Systems of partial differential equations and Lie pseudogroups, Gordon & Breach, 1978.
Cartan, E.: La géométrie des espaces Riemanniennes, Gauthier-Villars, 1925.
Guillemin, V. and Sternberg, S.: Deformation theory of pseudogroup structures, Mem. Amer. Math. Soc., 64, Amer. Math. Soc., 1966.
Pollack, A.S.: ‘The integrability of pseudogroup structures’, J. Diff. Geom. 9, no. 3 (1974), 355–390.
Griffiths, P.A.: ‘Deformations of G-structures. Part A: General theory of deformations’, Math. Ann. 155, no. 4 (1964), 292–315.
Griffiths, P.A.: ‘Deformations of G-structures. Part B: Deformations of geometric G-structures’, Math. Ann. 158, no. 5 (1965), 326–351.
Pommaret, J.F.: ‘Théorie des déformations des structures’, Ann. Inst. H. Poincaré Nouvelle Sér. 18 (1973), 285–352. English abstract.
Berard Bergery, L., Bourgignon, J.P. and Lafontaine, J.: ‘Déformations localement triviales des variétés Riemanniennes’, in Differential Geometry, Proc. Symp. Pure Math., Vol. 27, Amer. Math. Soc., 1975, pp. 3-32.
Spencer, D.C.: ‘Deformation of structures on manifolds defined by transitive, continuous pseudogroups I. Infinitesimal deformations of structure’, Ann. of Math. 76, no. 2 (1962), 306–398.
Spencer, D.C.: ‘Deformation of structures on manifolds defined by transitive, continuous pseudogroups II. Deformations of structure’, Ann. of Math. 76, no. 3 (1962), 399–445.
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, 1, Interscience, 1963, Chapt. 1.
Haefliger, A.: ‘Homotopy and integrability’, in J.N. Mordeson, et al. (ed.): Structure of arbitrary purely inseparable extension fields, Lecture notes in math., Vol. 173, Springer, 1971, pp. 133-163.
Pommaret, J.F.: Systems of partial differential equations and Lie pseudogroups, Gordon & Breach, 1978.
Hazewinkel, M. and Gerstenhaber, M. (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988.
Seifert, H. and Threlfall, W.: A textbook of topology, Acad. Press, 1980 (translated from the German).
Spanier, E.: Algebraic topology, McGraw-Hill, 1966.
Munkres, J.: Elements of algebraic topology, Addison-Wesley, 1984.
Dieudonné, J.: A history of algebraic and differential topology 1900–1960, Birkhäuser, 1989.
Kelley, J.L.: General topology, Springer, 1975.
Čech, E.: Topological spaces, Interscience, 1966.
Čech, E.: Topological spaces, Interscience, 1966.
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Engeling, R.: General topology, Heldermann, 1989.
Urabe, M.: ‘Green functions of pseudo-periodic differential operators’, in M. Urabe (ed.): Japan-United States Sem. Ordinary Differential and Functional Eq., Springer, 1971, pp. 106-122.
Goldstein, J.A.: ‘Asymptotics for bounded semigroups on Hilbert space’, in R. Nagel, et al. (ed.): Aspects of Positivity in Funct. Anal., North-Holland, 1986, pp. 49-62.
Tits, J.: Buildings and BN-pairs of spherical type, Springer, 1974, Sect. 8.2.
Bourbaki, N.: Eléments de mathématique. Algèbre, Hermann, 1959, Chapt. 9. Formes sesquilinéaires et formes quadratiques.
Dieudonné, J.: La géométrie des groupes classiques, Springer, 1963.
Rashewski, P.K. [P.K. Rashevskiĭ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Rozenfel’d, B.A.: Non-Euclidean spaces, Moscow, 1969 (in Russian).
Einstein, A.: Collected scientific works, 1, Moscow, 1965 (in Russian; translated from the English).
Beem, J.K. and Ehrlich, P.E.: Global Lorentzian geometry, M. Dekker, 1981.
Hawking, S.W. and Ellis, G.F.R.: The large scale structure of space-time, Cambridge Univ. Press, 1973.
O’Neill, B.: Semi-Riemannian geometry. With applications to relativity, Acad. Press, 1983.
Sachs, R.K. and Wu, H.: General relativity for mathematicians, Springer, 1977.
Misner, C, Thorne, K. and Wheeler, J.: Gravitation, Freeman, 1973.
Chisholm, J.S.R. and Common, A.K.: Clifford algebras and their applications in mathematical physics, Reidel, 1986.
Hestenes, D.: New foundations for classical mechanics, Reidel, 1986.
Schouten, J.A.: Ricci-calculus, Springer, 1954, p. 11ff (translated from the German).
Vygodskiĭ, M.Ya.: Differential geometry, Moscow-Leningrad, 1949 (in Russian).
Kagan, V.F.: Foundations of the theory of surfaces in a tensor setting, 2, Moscow-Leningrad, 1949 (in Russian).
Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988 (translated from the French).
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969, p. 320, 378.
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1957.
Greenberg, M.J.: Euclidean and non-Euclidean geometries, Freeman, 1974.
Rosenfeld, B. [B. Rozenfel’d]: A history of non-Euclidean geometry, Springer, 1988 (translated from the Russian).
Schouten, J.A.: Ricci-calculus, Springer, 1954, p. 11ff (translated from the German).
Saver, R. and Szabó, I. (eds.): Mathematische Hilfsmittel des Ingenieurs, III, Springer, 1968, p. Sect. G.II.6.
Coxeter, H.S.M. and Greitzer, S.: Geometry revisited, Math. Assoc. Amer., 1967.
Maxwell, E.A.: Geometry by transformations, Cambridge Univ. Press, 1975.
Berger, M.: Geometry, 1–2, Springer, 1987 (translated from the French).
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Robinson, D.J.S.: A course in the theory of groups, Springer, 1982.
Mishina, A.P. and Skornyakov, L.A.: Abelian groups and modules, Moscow, 1969 (in Russian).
Sklyarenko, E.G.: ‘Relative homological algebra in categories of modules’, Russian Math. Surveys 33, no. 3 (1978), 97–137. (Uspekhi Mat. Nauk 33, no. 3 (1978), 85-120)
Faith, C.: Algebra: rings, modules and categories, 1, Springer, 1973.
Fuchs, L.: Infinite abelian groups, 1–2, Acad. Press, 1970–1973.
Rotman, J.: Introduction to homological algebra, Acad. Press, 1979.
Pontrygin, L.S.: ‘On the theory of differential games’, Russian Math. Surveys 21, no. 4 (1966), 193–246. (Uspekhi Mat. Nauk 21, no. 4 (1966), 219-274)
Krasovskiĭ, N.N. and Subbotin, A.I.: Game-theoretical control problems, Springer, 1988 (translated from the Russian).
Isaacs, R.: Differential games, Wiley, 1965.
Petrosyan, L.A.: Differential pursuit games, Leningrad, 1977 (in Russian).
Gal, S.: ‘Search games with mobile and immobile hider’, SIAM J. Control Optim. 17 (1979), 332–349.
Olsder, G.J. and Papavassilopoulos, G.P.: ‘About when to use the searchlight’, J. Math. Anal. Appl. 136 (1988), 466–478.
Friedman, A.: Differential games, Wiley, 1971.
Hajek, O.: Pursuit games, Acad. Press, 1975.
Basar, T. and Olsder, G.J.: Dynamic noncooperative game theory, Acad. Press, 1982.
Grünbaum, B.: Convex polytopes, Wiley, 1967.
McMullen, P. and Shephard, G.C.: Convex polytopes and the upper bound conjecture, Cambridge Univ. Press, 1971.
Greub, W.H.: Linear algebra, Springer, 1967.
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979, p. Chapt. XIII.
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Strunkov, S.P. et al. (1995). P. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3791-9_4
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