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References
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian)
Balci, D.: Zur Theorie der topologischen n-Gruppen, Minerva, Munich, 1981
Rusakov, S.A.: ‘The subgroup structure of Dedekind n-ary groups’, in Finite groups (Proc. Gomel. Sem.), Minsk, 1978, pp. 81–104 (in Russian)
Rusakov, S.A.: ‘On the theory of nilpotent n-ary groups’, in Finite groups (Proc. Gomel. Sem.), Minsk, 1978, pp. 104–130 (in Russian)
Court, N.A.: College geometry, Barnes & Noble, 1952, p. 160
Berger, M.: Geometry, 1, Springer, 1987, Sect. 10.13.30 (translated from the French)
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956
Carnap, R.: Meaning and necessity, Univ. Chicago Press, 1947
Nash, J.: ‘Non-cooperative games’, Ann. of Math. 54 (1951), 286–295
Vorob’ev, N.N.: Foundations of game theory. Non-cooperative games, Moscow, 1984 (in Russian)
Vorob’ev, N.N.: Game theory. Lectures for economists and system scientists, Springer, 1977 (translated from the Russian)
Nash, J.: ‘C 1-isometric imbeddings’, Ann. of Math. 60 (1954), 383–396
Kuiper, N.: ‘On C 1-isometric imbeddings’, Proc. K. Ned. Akad. Wetensch. A58, no. 4 (1955), 545–556
Nash, J.: ‘The imbedding problem for Riemannian manifolds’, Ann. of Math. 63 (1956), 20–63
Burstin, C.: ‘Ein Beitrag zum Problem der Einbettung der Riemannschen Räume in euklidischen Räumen’, Mat. Sb. 38, no. 3–4 (1931), 74–85
Nash, J.: ‘Analyticity of the solutions of implicit function problems with analytic data’, Ann. of Math. 84 (1966), 345–355
Gromov, M.L. and Rokhlin, V.A.: ‘Embeddings and immersions in Riemannian geometry’, Russian Math. Surveys 25, no. 5 (1970), 1–57. (Uspekhi Mat Nauk 25 (1970), 53–62)
Gromov, M.L.: ‘Isometric imbeddings and immersions’, Soviet Math. Dokl. 11, no. 3 (1970), 1206–1209. (Dokl. Akad. Nauk SSSR 192 (1970), 794–797)
Hirsch, M.W.: Differential topology, Springer, 1976
Gromov, M.: Partial differential relations, Springer, 1986
Klingenberg, W.: A course in differential geometry, Springer, 1978 (translated from the German)
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1977
Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988 (translated from the French)
Do Carmo, M.: Differential geometry of curves and surfaces, Prentice Hall, 1976
O’Neill, B.: Elementary differential geometry, Acad. Press, 1966
Spivak, M.: Differential geometry, 2, Publish or Perish, 1979
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973
Struik, D.J.: Differential geometry, Addison-Wesley, 1950, Sect. 1–8
Mathematical theory of logical deduction, Moscow, 1967 (in Russian; translated from the English). Collection of translations
Shanin, N.A., et al.: An algorithm for computer search for a natural logical deduction in prepositional calculus, Moscow-Leningrad, 1965 (in Russian)
Prawitz, D.: Natural deduction, Almqvist & Wiksell, 1965
The history of mathematics from Antiquity to the beginning of the XIX-th century, 1, Moscow, 1970 (in Russian)
Nechaev, V.I.: Number systems, Moscow, 1975 (in Russian)
Davenport, H.: The higher arithmetic, Hutchinson, 1952
Scriba, C.J.: The concept of number, a chapter in the history of mathematics, with applications of interest to teachers, B.I. Mannheim, 1968
Schutte, K.: Proof theory, Springer, 1977
Gentzen, G.: M. Szabo (ed.): Collected papers, North-Holland, 1969
Waerden, B.L. van der: Algebra, 1, Springer, 1967 (translated from the German)
Kennedy, H.C.: Selected works of Guiseppe Peano, Allen & Unwin, 1973
Landau, E.: Grundlagen der Analysis, Akad. Verlagsgesellschaft, 1930
MacLane, S. and Birkhoff, G.: Algebra, Macmillan, 1967
Fuchs, L.: Partially ordered algebraic systems, Pergamon, 1963
Navier, L.: Mém. Acad Sci. 7 (1827), 375–394
Poisson, S.D.: J. Ecole Polytechn. 13 (1831), 1–174
Saint-Venant, B.: Acad Sci. Paris 17 (1843)
Stokes, G.G.: Trans. Cambridge Phil. Soc. 8 (1843), 287–319
Schlichting, G.: Grenzschicht Theorie, Braun, 1958
Thom, A. and Apelt, C.J.: Field computations in engineering and physics, v. Nostrand, 1961
Brailovskaya, I.Yu., Kuskova, T.V. and Chudov, L.A.: ‘Difference methods for solving the Navier-Stokes equation (a survey)’, in Numerical methods and programming, Vol. 11, Moscow, 1968, pp. 3–18 (in Russian)
Yanenko, N.N.: The method of fractional steps; the solution of problems of mathematical physics in several variables, Springer, 1971 (translated from the Russian)
Polezhaev, V.I. and Gryaznov, V.L.: Dokl. Akad. Nauk SSSR 219, no. 2 (1974), 301–304
Samarskiĭ, A.A.: ‘Monotonic difference schemes for elliptic and parabolic equations in the case of a non-selfadjoint elliptic operator’, USSR Comp. Math. Math. Phys. 5, no. 3 (1965), 212–215. (Zh. Vychisl. Mat. i Mat. Fiz. 5 (1965), 548–551)
Kovenya, V.M. and Yanenko, N.N.: The method of splitting in problems of gas dynamics, Novosibirsk, 1981 (in Russian)
Tolstykh, A.I.: ‘Condensation of grid points in the process of solving and using high-accuracy schemes for the numerical integration of viscous gas flows’, USSR Comp. Math. Math. Phys. 18, no. 1 (1978), 134–147. (Zh. Vychisl. Mat. i Mat. Fiz. 18, no. 1 (1978), 139–153)
Kokoshinskaya, N.S., Pavlov, B.M. and Paskonov, V.M.: Numerical investigation of supersonic flow of a viscous gas around bodies, Moscow, 1980 (in Russian)
Temam, R.: Navier-Stokes equations: theory and numerical analysis, North-Holland, 1977
Numerical investigation of contemporary problems of gas dynamics, Moscow, 1974 (in Russian)
Roache, P.J.: Computational fluid dynamics, Hermosa, 1972
Peyret, R. and Viviand, H.: ‘Résolution numérique des équations de Navier-Stokes pour les fluides compressible’, in R. Glowinski and J.L. Lions (eds.): Computing Methods in Applied Sciences and Engineering, 2, Lect. notes in computer sci., Vol. 11, Springer, 1974, pp. 160–184
Burggraf, O.R.: ‘Some recent developments in computation of viscous flow’, in A.I. van der Vooren and P.J. Zandbergen (eds.): Proc. 5th Internat. Conf. Numerical Methods in Fluid Dynamics, Lect. notes in physics, Vol. 59, Springer, 1976, pp. 52–64
Kreiss, H.O. and Lorenz, J.: Initial boundary value problems and the Navier-Stokes equations, Acad. Press, 1989
Constantin, P. and Foias, C.: Navier-Stokes equations, Univ. Chicago Press, 1988
Bell, H.E.: ‘A commutativity theorem for near-rings’, Canad. Math. Bull 20, no. 1 (1977), 25–28
Heatherly, H.E.: ‘Regular near-rings’, J. Indian Math. Soc. 38 (1974), 345–354
Ligh, S.: ‘The structure of certain classes of rings and near rings’, J. London Math. Soc. 12, no. 1 (1975), 27–31
Pilz, G.: Near-rings, North-Holland, 1983
Oswald, A.: ‘On near-rings of quotients’, Proc. Edinburgh Math. Soc. 22, no. 2 (1979), 77–86
Polin, S.V.: ‘Generalizations of rings’, in Rings, Vol. 1, Novosibirsk, 1973, pp. 41–45 (in Russian)
Meldrum, J.D.P.: Near-rings and their links with groups, Pitman, 1985
Feller, W.: An introduction to probability theory and its applications, 1–2, Wiley, 1957–1971
Johnson, N.L. and Kotz, S.: Distributions in statistics, discrete distributions, Wiley, 1969
Hadamard, J.: ‘Les surfaces à courbures opposées et leurs lignes géodesique’, J. Math. Pures Appl 4 (1898), 27–73
Hilbert, D.: ‘Ueber Flächen von konstanter Gausscher Krümmung’, in Gesammelte Abhandlungen, Vol. 2, Springer, 1933, pp. 437–448
Bianchi, L.: Vorlesungen über Differentialgeometrie, Teubner, 1910 (translated from the Italian)
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian)
Norden, A.P.: The theory of surfaces, Moscow, 1956
Rozendorn, E.R.: ‘The construction of a complete bounded surface with non-positive curvature’, Uspekhi Mat. Nauk 16, no. 2 (1961), 149–156 (in Russian)
Rozendorn, E.R.: ‘Weakly irregular surfaces of negative curvature’, Russian Math. Surveys 21, no. 5 (1966), 57–112. (Uspekhi Mat Nauk 21, no. 5 (1966), 59–116)
Aminov, Yu.A.: ‘The extrinsic diameter of a surface of negative curvature’, Ukr. Geom. Sb. 13 (1973), 3–9 (in Russian)
Efimov, N.V.: ‘Surfaces with slowly changing negative curvature’, Russian Math. Surveys 21, no. 5 (1966), 1–56. (Uspekhi Mat Nauk 21, no. 5 (1966))
Poznyak, E.G.: ‘Isometric immersions of two-dimensional Riemannian metrics in Euclidean space’, Russian Math. Surveys 28, no. 4 (1973), 47–77. (Uspekhi Mat. Nauk 28, no. 4 (1973), 47–76)
Poznyak, E.G. and Shikin, E.V.: ‘Surfaces of negative curvature’, J. Soviet Math. 5, no. 6 (1976), 865–887. (Itogi Nauk. i Tekhn. Ser. Algebra. Topol Geom 12 (1974), 171–207)
Poznyak, E.G.: ‘Geometric investigations connected with z xy= sin z’, J. Soviet Math. 13, no. 5 (1980), 667–686. (Itogi Nauk i Tekhn. Probl. Geom. 8 (1977), 225–241)
Gribkov, I.V.: ‘Construction of some regular solutions of the ˝sine-Gordon˝ equation by means of surfaces of constant negative curvature’, Vestnik Mosk. Univ. Ser. Mat. Mekh. 4 (1977), 78–83 (in Russian). English abstract
Gribkov, I.V.: ‘Some solutions of the sin-Gordon equation obtained by means of a Bäcklund transformation’, Russian Math. Surveys 33, no. 2 (1978), 231–232. (Uspekhi Mat. Nauk 33, no. 2 (1978), 191–192)
Cohn-Vossen, S.E.: ‘Global deformation of surfaces’, Uspekhi Mat. Nauk 1 (1936), 33–76
Efimov, N.V.: ‘The validity of Hilbert’s theorem on surfaces of constant negative curvature’, Soviet Math. Dokl. 2, no. 1 (1961), 189–191. (Dokl. Akad. Nauk SSSR 136, no. 6 (1961), 1283–1286)
Efimov, N.V. and Poznyak, E.G.: ‘Some transformations of the fundamental equations of the theory of surfaces’, Soviet Math. Dokl. 2, no. 2 (1961), 225–227. (Dokl. Akad. Nauk SSSR 137, no. 1 (1961), 25–27)
Efimov, N.V. and Poznyak, E.G.: ‘Generalization of Hilbert’s theorem on surfaces of constant negative curvature’, Soviet Math. Dokl. 2, no. 2 (1961), 300–303. (Dokl. Akad Nauk SSSR 137, no. 3 (1961), 509–512)
Efmov, N.V.: ‘Imposibility of a complete regular surface in euclidean 3-space whose Gaussian curvature has a negative upper bound’, Soviet Math Dokl 4, no. 3 (1963), 843–846. (Dokl. Akad. Nauk SSSR 150, no. 6 (1963), 1206–1209)
Efimov, N.V.: ‘Generation of singularities on surfaces of negative curvature’, Mat. Sb. 64, no. 2 (1964), 286–320 (in Russian)
Efimov, N.V.: ‘Differential criteria for homeomorphism of certain mappings with applications to the theory of surfaces’, Math. USSR Sb. 5, no. 4 (1968), 475–488. (Mat. Sb. 76, no. 4 (1968), 499–512)
Shefel’, S.Z.: Studies on the geometry of saddle-like surfaces, Novosibirsk, 1963 (in Russian)
Shefel’, S.Z.: ‘On the intrinsic geometry of saddle surfaces’, Sib. Mat. Zh. 5, no. 6 (1964), 1382–1396 (in Russian)
Shefel’, S.Z.: ‘A condition of compactness of a family of saddle surfaces’, Siberian Math. J. 8, no. 3 (1967), 528–535. (Sib. Mat. Zh. 8, no. 3 (1967), 705–714)
Shefel’, S.Z.: ‘Saddle surfaces bounded by a rectifiable curve’, Soviet Math. Dokl 6, no. 3 (1965), 684–687. (Dokl. Akad. Nauk SSSR 162, no. 2 (1965), 294–296)
Efimov, N.V.: ‘Estimates for the dimensions of the domains of regularity of solutions of certain Monge-Ampère equations’, Math. USSR Sb. 29, no. 3 (1976), 319–326. (Mat. Sb. 100, no. 3 (1976), 356–363)
Efimov, N.V.: ‘Study of a single-valued projection of a surface of negative curvature’, Dokl. Akad. Nauk SSSR 93, no. 4 (1953), 609–611 (in Russian)
Heinz, E.: ‘Ueber Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind’, Math. Ann. 129, no. 5 (1955), 451–454
Poznyak, E.G.: ‘On the regular realization in the large of two-dimensional metrics of negative curvature’, Soviet Math. Dokl. 7, no. 5 (1966), 1288–1291. (Dokl. Akad. Nauk SSSR 170, no. 4 (1966), 786–789)
Poznyak, E.G.: ‘Regular global realization of two-dimensional metrics with negative curvature’, Ukr. Geom. Sb. 3 (1966), 78–92 (in Russian)
Shikin, E.V.: ‘On the global isometric imbedding in R 3 of some metrics of nonpositive curvature’, Soviet Math. Dokl. 15, no. 2 (1974), 448–451. (Dokl. Akad Nauk SSSR 215, no. 1 (1974), 61–63)
Rozhdestvenskiĭ, B.L.: ‘A system of quasi-linear equations in the theory of surfaces’, Dokl. Akad. Nauk SSSR 143, no. 1 (1962), 50–52 (in Russian)
Verner, A.L.: ‘On the extrinsic geometry of elementary complete surfaces with nonpositive curvature I’, Mat. USSR Sb. 3, no. 2 (1967), 205–224. (Mat. Sb. 74, no. 2 (1967), 218–240)
Verner, A.L.: ‘On the extrinsic geometry of elementary complete surfaces with nonpositive curvature II’, Math. USSR Sb. 4, no. 1 (1968), 99–123. (Mat. Sb. 75, no. 1 (1967), 112–139)
Verner, A.L.: ‘Correction to ˝On the extrinsic geometry of elementary complete surfaces with nonpositive curvature˝’, Mat. Sb. 77, no. 1 (1968), 136 (in Russian)
Verner, A.L.: ‘Tapering saddle surfaces’, Siberian Math. J. 11, no. 4 (1970), 567–581. (Sib. Mat. Zh. 11, no. 4 (1970), 750–769)
Verner, A.L.: ‘The finiteness of the set of branch points of a spherical mapping of a narrowing saddle surface’, Mat. Notes 12, no. 3 (1972), 603–605. (Mat. Zametki 12, no. 3 (1972), 281–286)
Sokolov, D.D.: ‘The structure of a limiting cone of a convex surface in Euclidean space’, Uspekhi Mat. Nauk 30, no. 1 (1975), 261–262 (in Russian)
Sokolov, D.D.: ‘On convex surfaces with an indefinite metric’, Russian Math. Surveys 33, no. 4 (1978), 265–266. (Uspekhi Mat. Nauk 33, no. 4 (1978), 227–228)
Sokolov, D.D.: ‘Convex surfaces having bounded total curvature in pseudo-Euclidean space’, Russian Math. Surveys 34, no. 3 (1979), 222–223. (Uspekhi Mat. Nauk 34, no. 3 (1979), 213–214)
Aleksandrov, A.D.: Die innere Geometrie der konvexen Flächen, Akademie-Verlag, 1955 (translated from the Russian)
Pogorelov, A.V.: Extrinsic geometry of convex surfaces, Amer. Math. Soc., 1972 (translated from the Russian)
Klotz Milnor, T.: ‘Efimov’s theorem about complete immersed surfaces of negative curvature’, Adv. in Math. 8, no. 3 (1972), 474–543
Tunitskiĭ, D.V.: ‘On the regular isometric immersion in E 3 of unbounded domains of negative curvature’, Mat. USSR Sb. 62, no. 1 (1989), 121–138. (Mat. Sb. 134, no. 1 (1987), 119–134)
Kaĭdasov, Zh. and Shikin, E.V.: ‘Isometric immersion in E 3 of a convex domain of the Lobachevskiĭ plane containing two horocycles’, Math. Notes 39, no. 4 (1986), 335–340. (Mat. Zametki 39, no. 4 (1986), 612–617)
Kaĭdasov, Zh. and Shikin, E.V.: ‘Isometric immersion in E 3 of extended strips on manifolds of type L’ Math. Notes 42, no. 6 (1987), 962–968. (Mat. Zametki 42, no. 6 (1987), 842–851)
Kuiper, N.H.: ‘On C 1-isometric imbeddings I’, Indag. Math. 17, no. 4 (1955), 545–556
Kuiper, N.H.: ‘On C 1-isometric imbeddings II’, Indag. Math. 17, no. 5 (1955), 683–689
Berger, M. and Gostiaux, M.: Differential geometry: manifolds, curves, and surfaces, Springer, 1988 (translated from the French)
Klingenberg, W.: A course in differential geometry, Springer, 1978 (translated from the German)
Struik, D.J.: Lectures on classical differential geometry, Addison-Wesley, 1961
Pogorelov, A.V.: Intrinsic geometry of surfaces, Amer. Math. Soc., 1973 (translated from the Russian)
Spivak, M.: A comprehensive introduction to differential geometry, 3; 5, Publish or Perish, 1975
Gromov, M.: Partial differential relations, Springer, 1986
Gromov, M.: ‘Embeddings and immersions in Riemannian geometry’, Russian Math. Surveys 25, no. 5 (1970), 1–58. (Uspekhi Mat. Nauk 25, no. 5 (1970), 3–62)
Belyaev, Y.K.: Probability methods of sampling control, Moscow, 1975 (in Russian)
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
Johnson, N.L. and Kotz, S.: Distributions in statistics, discrete distributions, Wiley, 1969
Patil, G.P. and Joshi, S.W.: A dictionary and bibliography of discrete distributions, Hafner, 1968
Neyman, J.: Proceedings of the international symposium on discrete distributions, Montreal, 1963
Lebesgue, H.: Leçons sur l’intégration et la récherche des fonctions primitives, Gauthier-Villars, 1928
Nekrasov, A.I.: Collected works, 1, Moscow, 1961 (in Russian)
Nekrasov, A.I.: Izv. Ivanovo-Vozn. Politekhn. Inst 6 (1922), 155–171
Hammerstein, A.: ‘Nichtlineare Integralgleichungen nebst Anwendungen’, Acta Math 54 (1930), 117–176
Zabreyko, P.P. [P.P. Zabreĭko], et al.: Integral equations - a reference text, Noordhoff, 1975 (translated from the Russian)
Néron, A.: ‘Modèles minimaux des variétés abéliennes sur les corps locaux et globaux’, Publ. Math. IHES 21 (1964)
Mazur, B.: ‘Rational points of Abelian varieties with values in towers of number fields’, Invent. Math. 18 (1974), 183–266
Raynaud, M.: ‘Modèles de Néron’, C.R. Acad Sci. Paris Sér. A 262 (1966), 345–347
Raynaud, M.: ‘Caractéristique d’Euler-Poincaré d’un faisceau et cohomologie des variétés abéliennes (d’après Ogg-Shafarévitch et Grothendieck)’, in Dix exposés sur la cohomology des schémas, North-Holland & Masson, 1968, pp. 12–30
Grothendieck, A., et al. (eds.): Groupes de monodromie en géométrie algébrique. SGA 7, Lecture notes in math., 288, Springer, 1972
Artin, M.: ‘Néron models’, in G. Cornell and J. Silverman (eds.): Arithmetic Geometry, Springer, 1986, pp. 213–230
Severi, F.: ‘La base per le varietà algebriche di dimensione qualunque contenute in una data e la teoria generale delle corrispondénze fra i punti di due superficie algebriche’, Menu Accad Ital 5 (1934), 239–283
Néron, A.: ‘Problèmes arithmétiques et géometriques attachée à la notion de rang d’une courbe algébrique dans un corps’, Bull Soc. Math. France 80 (1952), 101–166
Néron, A.: ‘La théorie de la base pour les diviseurs sur les variétés algébriques’, in 2 e Coll. Géom. Alg. Liège, G. Thone, 1952, pp. 119–126
Lang, S. and Néron, A.: ‘Rational points of abelian varieties over function fields’, Amer. J. Math. 81 (1959), 95–118
Hartshorne, R.: Algebraic geometry, Springer, 1977
Baldassarri, M: Algebraic varieties, Springer, 1956
Dolgachev, I.V. and Iskovskikh, V.A.: ‘Geometry of algebraic varieties’, J. Soviet Math. 5, no. 6 (1976), 803–864. (Itogi Nauk. i Tekhn. Algebra. Topol. Geom. 12 (1974), 77–170)
Shioda, T.: ‘On the Picard number of a complex projective variety’, Ann. Sci. Ecole Norm. Sup. 14 (1981), 303–321
Shioda, T.: ‘On the Picard number of a Fermat surface’, J. Fac. Sci. Univ. Tokyo 28 (1982), 724–734
Shioda, T.: ‘An explicit algorithm for computing the Picard number of certain algebraic surfaces’, Amer. J. Math. 108 (1986), 415–432
Zariski, O.: Algebraic surfaces, Springer, 1935
Postnikov, M.M.: Analytic geometry, Moscow, 1973 (in Russian)
Modenov, P.S.: Analytic geometry, Moscow, 1969 (in Russian)
Todd, J.A.: Projective and analytical geometry, Pitman, 1947, Chapt. VI
Kelley, J.L.: General topology, v. Nostrand, 1955, Chapt. II
Norden, A.P.: Spaces with an affine connection, Nauka, Moscow-Leningrad, 1976 (in Russian)
Dubnov, Ya.S. and Fuchs, S.A. [S.A. Fuks]: ‘Sur quelques réseaux de l’espace analogues au réseau de Tchebychev’, Dokl Akad. Nauk SSSR 28, no. 2 (1940), 102–105
Bazylev, V.T.: ‘Multidimensional nets and their transformations’, Itogi Nauk. Geom. 1963 (1965), 138–164 (in Russian)
Cartan, E.: ‘Sur les variétés de courbure constante d’un espace euclidien ou non euclidien’, Bull Soc. Math. France 47 (1919), 125–160
Chern, S.S.: ‘Laplace transforms of a class of higher dimensional varieties in a projective space of n dimensions’, Proc. Nat. Acad. Sci. USA 30 (1944), 95–97
Smirnov, R.V.: ‘Laplace transforms of p conjugate systems’, Dokl. Akad. Nauk SSSR 71, no. 3 (1950), 437–439 (in Russian)
Dembowski, P.: Finite geometries, Springer, 1968
Kårteszi, F.: Introduction to finite geometries, North-Holland, 1976
Batten, L.M.: Combinatorics of finite geometries, Cambridge Univ. Press, 1986
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.: ‘An addition theorem for weights of sets lying in bicompacta’, Dokl. Akad. Nauk SSSR 126, no. 2 (1959), 239–241 (in Russian)
Engelking, R.: General topology, PWN, 1977
Kelley, J.L.: ‘Convergence in topology’, Duke Math. J. 17 (1950), 277–283
Moore, E.H. and Smith, H.L.: ‘A general theory of limits’, Amer. J. Math. 44 (1922), 102–121
Nagata, J.: Modern general topology, North-Holland, 1985
Yablonskiĭ, S.V.: ‘Fundamental concepts of cybernetics’, Probl. Kibernet. 2 (1959), 7–38 (in Russian)
Ford, L.R. and Fulkerson, D.R.: Flows in networks, Princeton Univ. Press, 1962
Kuntzmann, J.: Théorie des réseaux (graphes), Dunod, 1972
Weinberg, L.: Network analysis and synthesis, McGraw-Hill, 1962
Brune, O.: ‘Synthesis of a finite two-terminal network whose driving-point impedance is a prescribed function of frequency’, J. Math. Phys. 10 (1931), 191–236
Papadimitriou, Chr. H. and Steiglitz, K.: Combinatorial optimization, Prentice-Hall, 1982
Fulkerson, D.R.: ‘Flow networks and combinatorial operations research’, in D.R. Fulkerson (ed.): Studies in graph theory, Vol. I, Math. Assoc. Amer., 1975, pp. 139–171
Berge, C.: Graphs, North-Holland, 1985, Chapt. 5
Atebekov, G.I.: Linear network theory, Pergamon, 1965
Slepian, P.: Foundations of network analysis, Springer, 1968
Bose, N.K.: Applied multidimensional system theory, v. Nostrand Reinhold, 1982, Chapt. 5
Budak, A.: Circuit theory. Fundamentals and applications, Prentice-Hall, 1978
Gondran, M. and Minoux, M.: Graphs and algorithms, Wiley, 1986, Chapt. 5 (translated from the French)
Burr, S.A. (ed.): The mathematics of networks, Amer. Math. Soc., 1982
Cox, C.W.: Circuits, signals and networks, MacMillan, 1969
Carré, B.: Graphs and networks, Clarendon Press, 1979
Busacker, R.G. and Saaty, T.L.: Finite graphs and networks, McGraw-Hill, 1965
Fundamentals in the development and application of systems of network planning and control, Moscow, 1974 (in Russian)
Encyclopaedia of cybernetics, Kiev, 1974 (in Russian)
Lopatnikov, L.I.: A short mathematical-economic dictionary, Moscow, 1979 (in Russian)
Fundamentals in the development and application of systems of network planning and control, Moscow, 1974 (in Russian)
Kaufmann, A. and Desbazeille, G.: La méthode du chemin critique, Dunod, 1964
Network planning and control, Moscow, 1967 (in Russian)
Abramov, S.A., Marinichev, M.P. and Polyakov, P.D.: Network methods of planning and control, Moscow, 1965 (in Russian)
Encyclopaedia of cybernetics, Kiev, 1974 (in Russian)
Lopatnikov, L.I.: A short mathematical-economic dictionary, Moscow, 1979 (in Russian)
Taha, H.A.: Operations research, MacMillan, 1982
Folland, G.B. and Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex, Princeton Univ. Press, 1972
Greiner, P.C. and Sfein, E.M.: Estimates for the \(\overline \partial\)-Neumann problem, Princeton Univ. Press, 1977
Treves, F.: Introduction to pseudodifferential and Fourier integral operators, 1, Plenum, 1980, Sect. III.8
Kohn, J.J.: ‘Methods of partial differential equations in complex analysis’, in R.O. Wells, Jr. (ed.): Several Complex Variables, Vol. 1, Amer. Math. Soc., 1977, pp. 215–240
Neumann, C.G.: Theorie der Besselschen Funktionen, Teubner, 1867
Neumann, C.G.: Untersuchungen über das logarithmische und Newtonsche Potential, Teubner, 1877
Watson, G.N.: A treatise on the theory of Bessel functions, 1, Cambridge Univ. Press, 1952
Kuz’min, R.O.: Bessel functions, Moscow-Leningrad, 1035 (in Russian)
Yosida, K.: Functional analysis, Springer, 1965
Tricomi, F.: Integral equations, Interscience, 1957
Smithies, F.: Integral equations, Cambridge Univ. Press, 1970, Chapt. II
Suzuki, R: ‘On the convergence of Neumann series in Banach space’, Math. Ann. 220 (1976), 143–146
Engl, H.W.: ‘A successive-approximation method for solving equations of the second kind with arbitrary spectral radius’, J. Integral Eq. 8 (1985), 239–247
Gohberg, I. and Goldberg, S.: Basic operator theory, Birkhäuser, 1981
Taylor, A.E. and Lay, D.C.: Introduction to functional analysis, Wiley, 1980
Zabreyko, P.P. [P.P. Zabreĭko], et.al.: Integral equations - a reference text, Noordhoff, 1975 (translated from the Russian)
Hale, J.K.: Theory of functional differential equations, Springer, 1977, Chapt. 12
Glasstone, S. and Edlund, M.: The elements of nuclear reactor theory, New York, 1952
Weinberg, A.M. and Wigner, E.P.: The physical theory of neutron chain reactors, Univ. Chicago Press, 1958
Galanin, A.D.: Thermal reactor theory, Pergamon, 1960 (translated from the Russian)
Williams, M.M.R.: The slowing down and thermalization of neutrons, North-Holland, 1966
Neuwirth, L.: Knot groups, Princeton Univ. Press, 1965
Pick, G.: ‘Ueber die Beschränkungen analytischer Funktionen, welche durch vorgegebene Funktionswerte bewirkt werden’, Math. Ann. 77 (1916), 7–23
Nevanlinna, R.: ‘Ueber beschränkte analytische Funktionen’, Ann. Acad Sci. Fenn. Ser. A 32, no. 7 (1929), 1–15
Kreĭn, M.G. and Nudel’man, A.A.: The Markov moment problem and extremal problems, Amer. Math. Soc., 1977 (translated from the Russian)
Garnett, J.B.: Bounded analytic functions, Acad. Press, 1981
Sz.-Nagy, B. and Korányi, A.: ‘Rélations d’un problem de Nevanlinna et Pick avec la théorie des opérateurs de l’espace Hilbertien’, Acta Math. Acad Sci. Hung. 7 (1956), 295–303
Carleson, L.: ‘An interpolation problem for bounded analytic functions’, Amer. J. Math. 80, no. 4 (1958), 921–930
Shvedenko, S.V.: ‘On (H p, l r)-interpolation sequences in the unit disk’, Math. USSR Sb. 46, no. 4 (1983), 473–492. (Mat. Sb. 118, no. 4 (1982), 470–489)
Adamjan, V.M. [V.M. Adamyan], Arov, D.Z. and Kreĭn, M.G.: ‘Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Tagaki problem’, Math. USSR Sb. 15 (1971), 31–73. (Mat. Sb. 86, no. 1 (1971), 34–75)
Rosenblum, M. and Rovnyak, J.: Hardy classes and operator theory, Oxford Univ. Press, 1985
Sarason, D.: ‘Operator-theoretic aspects of the Nevanlinna-Pick interpolation problem’, in S.C. Power (ed.): Operators and Function Theory, Reidel, 1984, pp. 279–314
Kimura, H.: ‘Directional interpolation approach in H∞- optimization’, IEEE Trans. Autom. Control 32 (1987), 1085–1093
Limebeer, D.J.N. and Anderson, B.D.O.: ‘An interpolation theory approach to H∞ controller degree bounds’, Linear Algebra Appl. 98 (1988), 347–386
Ball, J.A.: ‘Nevanlinna-Pick interpolation: Generalizations and applications’, in J.B. Conway (ed.): Proc. Asymmetric Algebras and Invariant Subspaces. Conf. Indian Univ., Pitman, To appear
Dym, H.: J contractive matrix functions, reproducing kernel Hilbert spaces and interpolation, Amer. Math. Soc., 1989
Helton, J.W.: Operator theory, analytic functions, matrices, and electrical engineering, Amer. Math. Soc., 1987
Duren, P.L.: Theory of H p spaces, Acad. Press, 1970
Nevanlinna, R.: Analytic functions, Springer, 1970 (translated from the German)
Nevanlinna, R.: Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars, 1929
Weyl, H. and Weyl, J.: Meromorphic functions and analytic curves, Princeton Univ. Press, 1943
Ahlfors, L.: ‘The theory of meromorphic curves’, Acta Soc. Sci. Fennica. Nova Ser. A 3, no. 4 (1941), 1–31
Cartan, H.: ‘Sur les zéros des combinations linéares de p fonctions holomorphes données’, Mathematica (Cluj) 7 (1933), 5–31
Griffiths, P. and King, J.: ‘Nevanlinna theory and holo-morphic mappings between algebraic varieties’, Acta Math. 130 (1973), 145–220
Petrenko, V.P.: The growth of meromorphic functions, Khar’kov, 1978 (in Russian)
Hayman, W.K.: Meromorphic functions, Oxford Univ. Press, 1964
Griffiths, P.A.: Entire holomorphic mappings in one and several complex variables, Princeton Univ. Press, 1976
Newton, I.: ‘Mathematical principles of natural philosophy’, in A.N. Krylov (ed.): Collected works, Vol. 7, Moscow-Leningrad, 1936 (in Russian; translated from the Latin)
Cotes, R.: Harmonia Mensurarum, 1–2, London, 1722
Krylov, V.I. and Shul’gina, L.T.: Handbook on numerical integration, Moscow, 1966 (in Russian)
Englls, H.: Numerical quadrature and cubature, Acad. Press, 1980
Brass, H.: Quadraturverfahren, Vandenhoeck & Ruprecht, 1977
Davis, P.J. and Rabinowitz, P.: Methods of numerical integration, Acad. Press, 1984
Stroud, A.H.: Numerical quadrature and solution of ordinary differential equations, Springer, 1974
Newton, I.: The mathematical papers of I. Newton, 1–8, Cambridge Univ. Press, 1967–1981
Puiseux, V.: ‘Récherches sur les fonctions algébriques’, J. Math. Pure Appl. 15 (1850), 365–480
Lagrange, J.L.: ‘Solution de quelques problèmes d’astronomie sphérique par le moyen des séries’, Nouv. Mém Acad. Roy. Sci. Belles Lettres Berlin (1776)
Vaĭnberg, M.M. and Trenogin, V.A.: Theory of branching of solutions of non-linear equations, Noordhoff, 1974 (translated from the Russian)
Isaac Newton 1643–1727; a collection of articles on the tercentenary of his birth, Moscow, 1943 (in Russian)
Bruno, A.D. [A.D. Bryuno]: Local methods in nonlinear differential equations, Springer, 1989 (translated from the Russian)
Lindsay, R.B. and Margenau, H.: Foundations of physics, Dover, 1957
Rutherford, D.E.: Classical mechanics, Oliver & Boyd, 1957
Taylor, Th.T.: Mechanics: classical and quantum, Pergamon, 1976
Berezin, I.S. and Zhidkov, N.P.: Computing methods, 1, Pergamon, 1973 (translated from the Russian)
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian)
Atkinson, K.E.: An introduction to numerical analysis, Wiley, 1978
Davis, P.: Interpolation and approximation, Dover, reprint, 1975
Hildebrand, F.B.: Introduction to numerical analysis, McGraw-Hill, 1974
Stromberg, K.: An introduction to classical real analysis, Wadsworth, 1981, p. 318ff
Rudin, W.: Real and complex analysis, McGraw-Hill, 1966, p. 165ff
Kantorovich, L.V.: ‘Functional analysis and applied mathematics’, Nat. Bur. Sci. Rep. 1509 (1952). (Uspekhi Mat. Nauk 3, no. 6 (1948), 89–185)
Kantorovich, L.V. and Akilov, G.P.: Funktionalanalysis in normierten Räume, Akad. Verlag, 1964 (translated from the Russian)
Collatz, L.: Funktionalanalysis und numerische Mathematik, Springer, 1964
Approximate solution of operator equations, Moscow, 1969 (in Russian)
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian)
Lax, P., Burstein, S. and Lax, A.: Calculus with applications and computing, New York Univ., 1972
Dennis, J.E., jr. and Schnable, R.: ‘Least change secant updates for quasi-Newton methods’, SIAM Review 21 (1979), 443–459
Ortega, J.M. and Rheinboldt, W.C.: Iterative solution of nonlinear equations, Acad. Press, 1970
Hildebrand, F.B.: Introduction to numerical analysis, Dover, reprint, 1987
Günter, N.M.: Potential theory and its applications to basic problems of mathematical physics, F. Ungar, New-York, 1967 (translated from the French)
Sretenskiĭ, L.N.: Theory of the Newton potential, Moscow-Leningrad, 1946 (in Russian)
Landkof, N.S.: Foundations of modem potential theory, Springer, 1972 (translated from the Russian)
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1959
Wermer, J.: Potential theory, Springer, 1974
Kellogg, O.D.: Foundations of potential theory, F. Ungar, 1929. Re-issue: Springer, 1967
Gauss, C.F.: ‘Allgemeine Lehrsätze in Beziehung auf die im verkehrte Verhältnisse des Quadrats der Entfernung wirkenden Anziehungs- und Abstossungskräfte’, in Werke, Vol. 5, K. Gesellschaft Göttingen, 1876, pp. 195–242
Green, G.: ‘An essay on the application of mathematical analysis to the theories of electricity and magnetism I’, J. Reine Angew. Math. 39 (1850), 73–89. Re-issued by Lord Kelvin
Green, G.: ‘An essay on the application of mathematical analysis to the theories of electricity and magnetism II’, J. Reine Angew. Math. 44 (1852), 356–374. Re-issued by Lord Kelvin
Green, G.: ‘An essay on the application of mathematical analysis to the theories of electricity and magnetism III’, J. Reine Angew. Math. 47 (1854), 161–221. Re-issued by Lord Kelvin
Lagrange, J.-L.: ‘Sur l’équation séculaire de la lune’, Mém. Acad. Roy. Sci. Paris (1773)
Neyman, J.: ‘On the problem of confidence intervals’, Ann. Math. Stat. 6 (1935), 111–116
Neyman, J.: ‘Outline of a theory of statistical estimation based on the classical theory of probability’, Philos. Trans. Roy. Soc. London. Ser. A. 236 (1937), 333–380
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova
Bolshev, L.N.: ‘On the construction of confidence limits’, Theor. Probab. Appl 10 (1965), 173–177. (Teor. Veroyatnost. i Primenen. 10 (1965), 187–192)
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1986
Neyman, J. and Pearson, E.S.: ‘On the problem of the most efficient tests of statistical hypotheses’, Philos. Trans. Roy. Soc. London Ser. A. 231 (1933), 289–337
Lehmann, E.L.: Statistical hypotheses testing, Wiley, 1978
Neyman, J.: ‘Current problems of mathematical statistics’, in Proc. Internat. Congress Mathematicians Amsterdam, 1954, Vol. 1, Noordhoff & North-Holland, 1957, pp. 349–370
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1986
Linnik, Yu.V.: Statistical problems with nuisance parameters, Moscow, 1966 (in Russian)
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian)
Lawrence, J.D.: A catalog of special plane curves, Dover, reprint, 1972
Nikol’skiĭ, S.M.: ‘Inequalities for entire functions of finite order and their application to the theory of differentiable functions in several variables’, Trudy Mat. Inst. Steklov. 38 (1951), 244–278 (in Russian)
Nikol’skiĭ, S.M.: ‘Properties of certain classes of functions of several variables on a differentiable manifold’, Mat. Sb. 33, no. 2 (1953), 261–326 (in Russian)
Nikol’skiĭ, S.M.: ‘Imbedding theorems for functions with partial derivatives, considered in differential metrics’, Dokl Akad. Nauk SSSR 118, no. 1 (1958), 35–37 (in Russian)
Nikol’skiĭ, S.M.: Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian)
Besov, O.V., Il’in, V.P. and Nikol’skiĭ, S.M.: Integral representations of functions and imbedding theorems, Wiley, 1978 (translated from the Russian)
Nikol’skiĭ, S.M.: ‘On the solution of the polyharmonic equation by a variational method’, Dokl Akad. Nauk SSSR 88, no. 3 (1953), 409–411 (in Russian)
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956
Herstein, I.: Noncommutative rings, Math. Assoc. Amer., 1968
Kostrikin, A.I.: ‘Lie rings satisfying the Engel condition’, Izv. Akad. Nauk SSSR Ser. Mat. 21, no. 4 (1957), 515–540 (in Russian)
Shirshov, A.I.: ‘On certain non-associative nil rings and algebraic algebras’, Mat. Sb. 41, no. 3 (1957), 381–394 (in Russian)
Golod, E.S.: ‘On nil algebras and finitely approximate p-groups’, Izv. Akad. Nauk SSSR Ser. Mat. 28, no. 2 (1964), 273–276 (in Russian)
Higman, G.: ‘On a conjecture of Nagata’, Proc. Cambridge Philos. Soc. 52 (1956), 1–4
Higgins, P.J.: ‘Lie rings satisfying the Engel condition’, Proc. Cambridge Philos. Soc. 50 (1954), 8–15
Zhevlakov, K.A.: ‘The lower nil radical of alternative rings’, Algebra i Logika 6, no. 4 (1967), 11–17 (in Russian)
McCrimmon, K.: ‘The radical of a Jordan algebra’, Proc. Nat. Acad. Sci. USA 612, no. 3 (1969), 671–678
Amitsur, S.A.: ‘Nil radicals, historical notes’, in Coll. Math. Soc. J. Bolyai, Keszthely (Hungary), Vol. 6. Rings and modules and radicals, 1971, pp. 47–65
Auslander, L., Green, L. and Hahn, F.: Flows on homogeneous spaces, Princeton Univ. Press, 1963
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian)
Golod, E.S.: ‘On nil-algebras and residually finite p-groups’, Transl. Amer. Math. Soc. 48 (1965), 103–106. (Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 273–276)
Faith, C.: Algebra, II. Ring theory, Springer, 1976
McConnell, J.C. and Robson, J.C.: Noncommutative noetherian rings, Wiley, 1987
Rowen, L.: Ring theory, 1, Acad. Press, 1988
Mal’tsev, A.I.: ‘On a class of homogeneous spaces’, Transl. Amer. Math. Soc. (1) 9 (1962), 276–307. (Izv. Akad. Nauk SSSR Ser. Mat. 13, no. 1 (1949), 9–32)
Auslander, L.: Lecture notes on nil-theta functions, Amer. Math. Soc., 1977
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956
Shevrin, L.N.: ‘On the general theory of semi-groups’, Mat. Sb. 53, no. 3 (1961), 367–386 (in Russian)
Shevrin, L.N.: ‘Nil semi-groups with certain finiteness conditions’, Mat. Sb. 55, no. 4 (1961), 473–480 (in Russian)
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956
Jacobson, N.: Lie algebras, Interscience, 1962
Albert, A.A.: Structure of algebras, Amer. Math. Soc., 1939
Jacobson, N.: ‘A note on automorphisms and derivations of Lie algebras’, Proc. Amer: Math. Soc. 6, no. 2 (1955), 281–283
Higman, G.: ‘Groups and rings having automorphisms without non-trivial fixed elements’, J. London Math. Soc. 32, no. 3 (1957), 321–334
Lang, S.: Algebra, Addison-Wesley, 1974
Herstein, I.: Noncommutative rings, Math. Assoc. Amer., 1968
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian)
McConnell, J.C. and Robson, J.C.: Noncommutative Noetherian rings, Wiley, 1987, § 0.2
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian)
Kargapolov, M.I. and Merzlyakov, Yu.I.: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian)
Lang, S.: Algebra, Addison-Wesley, 1974
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956
Faith, C.: Algebra: rings, modules and categories, 1, Springer, 1973
Herstein, I.: Noncommutative rings, Math. Assoc. Amer., 1968
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French)
Lyapin, ES.: Semigroups, Amer. Math. Soc., 1974 (translated from the Russian)
Mal’tsev, A.I.: ‘Nilpotent semi-groups’, Uchen. Zap. Ivanov. Gos. Ped Inst. 4 (1953), 107–111 (in Russian)
Shevrin, L.N.: ‘On the general theory of semi-groups’, Mat. Sb. 53, no. 3 (1961), 367–386 (in Russian)
Shevrin, L.N.: ‘Semi-groups all sub-semi-groups of which are accessible’, Mat. Sb. 61, no. 2 (1963), 253–256 (in Russian)
Zetel’, S.I.: A new geometry of triangles, Moscow, 1962 (in Russian)
Perepelkin, D.I.: A course in elementary geometry, 1, Moscow-Leningrad, 1948 (in Russian)
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1961
Berger, M.: Geometry, I-II, Springer, 1987, Sects. 10.11.3, 17.5.4 (translated from the French)
Veblen, O. and Young, J.W.: Projective geometry, II, Blaisdell, 1946, p. 169; 233
Coolidge, J.: Algebraic plane curves, Dover, reprint, 1959
Lefshetz, S.: Differential equations: geometric theory, Dover, reprint, 1977, Sect. IX.2
Birkhoff, G. and Rota, G.-C: Ordinary differential equations, Ginn & Co., 1962, Sect. VI.8
Noether, M.: ‘Ueber invariante Darstellung algebraischer Funktionen’, Math Ann. 17 (1880), 263–284
Babbage, D.W.: ‘A note on the quadrics through a canonical curve’, J. London. Math Soc. 14, no. 4 (1939), 310–314
Saint-Donat, B.: ‘On Petri’s analysis of the linear system of quadrics through a canonical curve’, Mat. Ann. 206 (1973), 157–175
Shokurov, V.V.: ‘The Noether-Enriques theorem on canonical curves’, Math USSR Sb. 15 (1971), 361–403. (Math Sb. 86, no. 3 (1971), 367–408)
Arbarello, E. and Sernesi, E.: ‘Tetri’s approach to the study of the ideal associated to a special divisor’, Invent. Math 49 (1978), 99–119
Griffiths, P. and Harris, J.: Principles of algebraic geometry, Wiley, 1978
Arbarello, E., Cornalba, M., Griffiths, P.A. and Harris, J.: Geometry of algebraic curves, 1, Springer, 1984
Noether, E.: ‘Gleichungen mit vorgeschriebener Gruppe’, Math. Ann. 78 (1917–1918), 221–229
Swan, R.G.: ‘Invariant rational functions and a problem of Steenrod’, Invent. Math. 7, no. 2 (1969), 148–158
Voskresenskiĭ, V.E. : ‘Rationality of certain algebraic tori’, Math. USSR. Izv. 35, no. 5 (1979), 1049–1056. (Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 1037–1046)
Voskresenskiĭ, V.E.: Algebraic tori, Moscow, 1977 (in Russian)
Chebotarev, N.G.: Grundzüge der Galois’schen Theorie, Noordhoff, 1950, Chapt. V § 4 (translated from the Russian)
Lentstra, H.W., Jr.: ‘Rational functions invariant under a finite abelian group’, Invent Math. 25 (1974), 299–325
Saltman, D.J.: ‘Noether’s problem over an algebraically closed field’, Invent. Math. 77 (1984), 71–84
Noether, E.: ‘Invarianten beliebiger Differentialausdrücke’, Nachr. Gesellschaft. Wiss. Göttingen (1918), 37–44; 240. Also: Gesammelte Abh., Springer, 1983, pp. 240–247
Noether, E.: ‘Invariante Variationsproblem’, Nachr. Gesellschaft. Wiss. Göttingen (1918), 237–257. Also: Gesammelte Abh., Springer, 1983, pp. 248–270
Bogolyubov, N.N. and Shirkov, D.V.: Introduction to the theory of quantized fields, Wiley, 1980 (translated from the Russian)
Gel’fand, I.M. and Fomin, S.V.: Calculus of variations, Prentice-Hall, 1963 (translated from the Russian)
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian)
Ovsiannikov, L.V. [L.V. Ovsyannikov]: Group analysis of differential equations, Acad. Press, 1982 (translated from the Russian)
Manin, Yu.I.: ‘Algebraic aspects of nonlinear differential equations’, J. Soviet Math. 11, no. 1 (1979), 1–22. (Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 11 (1978), 5–152)
Vinogradov, A.M.: ‘On the algebro-geometric foundations of Lagrangian field theory’, Soviet Math. Dokl. 18, no. 5 (1977), 1200–1204. (Dokl. Akad Nauk SSSR 236, no. 2 (1977), 284–287)
Lychagin, V.V.: ‘Contact geometry and non-linear second- order differential equations’, Russian Math. Surveys 34, no. 1 (1979), 149–180. (Uspekhi Mat. Nauk 34, no. 1 (1979), 137–165)
Olver, P.J.: Applications of Lie groups to differential equations, Springer, 1986
Funk, P.: Variationsrechnung und ihre Anwendung in Physik und Technik, Springer, 1962
Ludwig, W. and Falter, C.: Symmetries in physics, Springer, 1988
Cheng, T.P. and Li, L.F.: Gauge theory of elementary particle physics, Oxford, 1984
Uhlenbeck, K.: ‘Conservation laws and their application in global differential geometry’, in B. Srinivasan and J. Sally (eds.): Emmy Noether in Bryn Mawr, Springer, 1983, pp. 103–117
Noether, E.: ‘Abstrakter Aufbau der Idealtheorie in algebraischen Zahl und Funktionenkörpern’, Math. Ann. 96 (1927), 26–61
Hilbert, D.: ‘Ueber die vollen Invariantensysteme’, Math. Ann. 42 (1893), 313–373
Atiyah, M. and Macdonald, I.G.: Introduction to commutative algebra, Addison-Wesley, 1969
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French)
Zariski, O. and Samuel, P.: Commutative algebra, 1–2, v. Nostrand, 1958–1960
Lang, S.: Algebra, Addison-Wesley, 1974
Ol’shanskiĭ, A.Yu.: ‘Infinite groups with cyclic subgroups’, Soviet Math. Dokl. 20, no. 2 (1979), 343–346. (Dokl Akad. Nauk SSSR 245, no. 4 (1979), 785–787)
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French)
Noether, F.: ‘Ueber eine Klasse singulärer Integralgleichungen’, Math. Ann. 82 (1921), 42–63
Nikol’skiĭ, S.M.: ‘Linear equations in linear normed spaces’, Izv. Akad. Nauk SSSR Ser. Mat. 7, no. 3 (1943), 147–166 (in Russian)
Atkinson, F.V.: ‘Normal solvability of linear equations in normal spaces’, Mat. Sb. 28, no. 1 (1951), 3–14 (in Russian)
Krein, S.G.: Linear equations in a Banach space, Birkhäuser, 1982 (translated from the Russian)
Krachkovskiĭ, S.N. and Dikanskiĭ, A.S.: ‘Fredholm operators and their generalizations’, Progress in Math. 10 (1971), 37–72. (Itogi Nauk Mat. Anal. 1968 (1969), 39–71)
Danilyuk, I.I.: Non-regular boundary value problems on the plane, Moscow, 1975 (in Russian)
Prössdorf, Z.: Einige Klassen singulärer Gleichungen, Akad. Verlag, 1974
Booss, B.: Topologie und Analysis, Einführung in die Atiyah-Singer-Indexformel, Springer, 1977
Conway, J.B.: A course in functional analysis, Springer, 1985
Gohberg, I.C. and Kreĭn, M.G.: ‘The basic propositions on defect numbers, root numbers and indices of linear operators’, Transl. Amer. Math. Soc. (2) 13 (1960), 185–264. (Uspekhi Mat. Nauk 12, no. 2 (1957), 43–118)
Goldberg, S.: Unbounded linear operators, McGraw-Hill, 1966
Kato, T.: Perturbation theory for linear operators, Springer, 1976
Gohberg, I.C. and Krupnik, N.: Einführung in die Theorie der eindimensionalen singulären Integraloperatoren, Birkhäuser, 1979
Zabreyko, P.P. [P.P. Zabreĭko], et al.: Integral equations - a reference text, Noordhoff, 1975 (translated from the Russian)
Meister, E.: Randwertaufgaben der Potentialtheorie, Teubner, 1983
Lang, S.: Algebra, Addison-Wesley, 1974
Noether, F.: ‘Ueber eine Klasse singulärer Integralgleichungen’, Math. Ann. 82 (1921), 42–63
Kreĭn, S.G.: Linear differential equations in Banach space, Amer. Math. Soc., 1971 (translated from the Russian)
Vaĭnberg, M.M. and Trenogin, V.A.: Theory of branching of solutions of non-linear equations, Noordhoff, 1974 (translated from the Russian)
Palais, R.S.: Seminar on the Atiyah-Singer index theorem, Princeton Univ. Press, 1965
Gohberg, I.C. [I.Ts. Gokhberg] and Kreĭn, M.G.: ‘The basic propositions on defect numbers, root numbers and indices of linear operators’, Transi Amer. Math. Soc. (2) 13 (1960), 185–264. (Uspekhi Mat. Nauk 12 (1957), 43–118)
Gohberg, I. [I.Ts. Gokhberg] and Krupnik, N.: Einführung in die Theorie der eindimensionalen singulären Integraloperatoren, Birkhäuser, 1979 (translated from the Russian)
Goldberg, S.: Unbounded linear operators, McGraw-Hill, 1966
Kato, T.: ‘Perturbation theory for nullity, deficiency and other quantities of linear operators’, J. d’Anal. Math. 6 (1958), 261–322
Kreĭn, S.G.: Linear equations in Banach spaces, Birkhäuser, 1982 (translated from the Russian)
Waerden, B.L. van der: Algebra, 1–2, Springer, 1967–1971 (translated from the German)
Lang, S.: Algebra, Addison-Wesley, 1974
Faith, C.: Algebra: rings, modules and categories, 1, Springer, 1973
Hartshorne, R.: Algebraic geometry, Springer, 1977
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French)
Hartshorne, R.: Algebraic geometry, Springer, 1977
Kharkevich, A.A.: Struggle with noise, Moscow, 1965 (in Russian)
Wozenkraft, J.M. and Jacobs, I.M.: Theoretical foundations of communication techniques, Moscow, 1969 (in Russian; translated from the English)
Kotelnikov, A.V.: The theory of optimum noise immunity, McGraw-Hill, 1959 (translated from the Russian)
Pentkovskiĭ, M.V.: Nomography, Moscow-Leningrad, 1949 (in Russian)
Neveskiĭ, B.A.: Handbook of nomography, Moscow-Leningrad, 1951 (in Russian)
Khovanskiĭ, G.S.: Eléments de nomographie, Mir, 1979 (translated from the Russian)
Khovanskiĭ, G.S.: Nomography and its possibilities, Moscow, 1977 (in Russian)
Khovanskiĭ, G.S. (ed.): Nomography collection, 15, Moscow, 1986 (in Russian)
Khovanskiĭ, G.S.: Nomography today, Moscow, 1987 (in Russian)
Rektorys, K. (ed.): Survey of applicable mathematics, lliffe, 1969, p. Sect. 32A
Sauer, R. and Szabó, I. (eds.): Mathematische Hilfsmittel des Ingenieurs, III, Springer, 1968, p. Sect. G.I.3
Davis, D.S.: Nomography and empirical relations, Wiley, 1962
Levens, A.S.: Nomography, Wiley, 1959
Johnson, L.: Nomography and empirical equations, Wiley, 1952
Serre, J.-P.: Cohomologie Galoisienne, Springer, 1964
Giraud, J.: Cohomologie non abélieme, Springer, 1971
Onishchik, A.L.: ‘Some concepts and applications of the theory of non-Abelian cohomology’, Trans. Moscow Math. Soc. 17 (1979), 49–98. (Trudy Moskov. Mat. Obshch. 17 (1967), 45–88)
Tolpygo, A.K.: ‘Two-dimensional cohomologies and the spectral sequence in the nonabelian theory’, Selecta Math. Sov. 6 (1987), 177–197
Dedecker, P.: ‘Three-dimensional nonabelian cohomology for groups’, in Category theory, homology theory and their applications (Battelle Inst. Conf.), Vol. 2, Springer, 1968, pp. 32–64
Frenkel, J.: ‘Cohomology non abélienne et espaces fibrés’, Bull Soc. Math. France 85, no. 2 (1957), 135–220
Goldschmidt, H.: ‘The integrability problem for Lie equations’, Bull Amer. Math. Soc. 84, no. 4 (1978), 531–546
Springer, T.A.: ‘Nonabelian H 2 in Galois cohomology’, in A. Borel and G.D. Mostow (eds.): Algebraic groups and discontinuous subgroups, Proc. Symp. Pure Math., Vol. 9, Amer. Math. Soc., 1966, pp. 164–182
Weiss, E.: Algebraic number theory, McGraw-Hill, 1963
Hilbert, D.: Grundlagen der Geometrie, Springer, 1913
Shirshov, A.I.: ‘Some questions in the theory of nearly-associative rings’, Uspekhi Mat. Nauk 13, no. 6 (1958), 3–20 (in Russian)
Zhevlakov, K.A., Slin’ko, A.M., Shestakov, I.P. and Shirshov, A.I.: Rings that are nearly associative, Acad. Press, 1982 (translated from the Russian)
Kostrikin, A.I.: ‘The Burnside problem’, Izv. Akad. Nauk SSSR Ser. Mat. 23, no. 1 (1959), 3–34 (in Russian)
Bokut’, L.A.: ‘Imbedding theorems in the theory of algebras’, Colloq. Math. 14 (1966), 349–353 (in Russian)
Bokut’, L.A.: ‘Some questions in ring theory’, Serdica 3 (1977), 299–308 (in Russian)
Kuz’min, E.N.: ‘Mal’tsev algebras and their representations’, Algebra and Logic 7, no. 4 (1968), 233–244. (Algebra i Logika 7, no. 4 (1968), 48–69)
Filippov, V.T.: ‘Central simple Mal’tsev algebras’, Algebra and Logic 15, no. 2 (1976), 147–151. (Algebra i Logika 15, no. 2 (1976), 235–242)
Fillipov, V.T.: ‘Mal’tsev algebras’, Algebra and Logic 16, no. 1 (1977), 70–74. (Algebra i Logika 16, no. 1 (1977), 101–108)
Kukin, G.P.: ‘Algorithmic problems for solvable Lie algebras’, Algebra and Logic 17, no. 4 (1978), 270–278. (Algebra i Logika 17, no. 4 (1978), 402–415)
Kukin, G.P.: ‘Subalgebras of a free Lie sum of Lie algebras with an amalgamated subalgebra’, Algebra and Logic 11, no. 1 (1972), 33–50. (Algebra i Logika 11, no. 1 (1972), 59–86)
L’vov, I.V.: ‘Varieties of associative rings’, Algebra and Logic 12, no. 3 (1973), 150–167. (Algebra i Logika 12, no. 3 (1973), 269–297)
Dorofeev, G.V.: ‘The join of varieties of algebras’, Algebra and Logic 15, no. 3 (1976), 165–181. (Algebra i Logika 15, no. 3 (1976), 267–291)
Golod, E.S.: ‘On nil algebras and finitely-approximable p-groups’, Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 273–276 (in Russian)
Kurosh, A.G.: ‘Nonassociative free sums of algebras’, Mat. Sb. 37 (1955), 251–264 (in Russian)
Shirshov, A.I.: ‘Subalgebras of free Lie algebras’, Mat. Sb. 33 (1953), 441–452 (in Russian)
Jacobson, N.: Structure and representation of Jordan algebras, Amer. Math. Soc., 1968
Zel’manov, E.I.: ‘Jordan nil-algebras of bounded index’, Soviet Math. Dokl. 20, no. 6 (1979), 1188–1192. (Dokl. Akad. Nauk SSSR 249, no. 1 (1979), 30–33)
Kemer, A.R.: ‘Finite basis property of identities of associative algebras’, Algebra and Logic 26, no. 5 (1987), 362–397. (Algebra i Logika 26, no. 5 (1987), 597–641)
Medvedev, Yu.A.: ‘Free Jordan algebras’, Algebra and Logic 27, no. 2 (1988), 110–127. (Algebra i Logika 27, no. 2 (1988), 172–200)
Aumann, R.J. and Shapley, L.S.: Values of non-atomic games, Princeton Univ. Press, 1974
Kiruta, A.Ya.: ‘Equilibrium points in non-atomic noncooperative games’, Mat. Met. Sots. Nauk 6 (1975), 18–71 (in Russian)
Rosenmüller, J.: Kooperative Spiele und Märkte, Springer, 1971
Rosenmüller, J.: ‘Large games without side-payments’, Operat. Res. Verfahren 20 (1975), 107–128
Hildenbrand, W.: Core and equilibria of a large economy, Princeton Univ. Press, 1974
Owen, G.: Game theory, Acad. Press, 1982
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1971, p. 135
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
Kendall, M. and Stuart, A.: The advanced theory of statistics, 2. Inference and relationship, Griffin, 1979
Patnaik, P.B.: ‘The non-central χ2- and F-distributions and their applications’, Biometrica 36 (1949), 202–232
Johnson, N.L. and Kotz, S.: Distributions in statistics, 2. Continuous univariate distributions, Wiley, 1970
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956
Chang, C.C. and Keisler, H.J.: Model theory, North-Holland, 1973
Keisler, H.J.: Model theory for infinitary logic, North-Holland, 1971
Dickmann, M.A.: Large infinitary languages, North-Holland, 1975
Vorob’ev, N.N.: ‘The present state of the theory of games’, Russian Math. Surveys 25, no. 2 (1970), 77–136. (Uspekhi Mat. Nauk 25, no. 2 (1970), 81–140)
Nash, J.: ‘Noncooperative games’, Ann. of Math. 54 (1951), 286–295
Glicksberg, I.L.: ‘A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points’, Proc. Amer. Math. Soc. 3 (1952), 170–174
Harsanyi, J.C.: ‘A general solution for finite noncooperative games based on risk-dominance’, in L.S. Shapley, A.W. Tucker and M. Dresher (eds.): Advances in game theory, Princeton Univ. Press, 1964, pp. 651–679
Vilkas, E.I.: ‘The axiomatic definition of equilibrium points and the value of a non-coalition n-person game’, Theory Probab. Appl. 13, no. 3 (1968), 523–527. (Teor. Veroyatnost. i Primenen. 13, no. 3 (1968), 555–560)
Vorob’ev, N.N.: Game theory, Springer, 1977 (translated from the Russian)
Hilbert, D.: The foundations of geometry, Open Court, La Salle, Illinois, 1950 (translated from the German)
Skornyakov, L.A.: ‘Projective planes’, Uspekhi Mat. Nauk 6, no. 6 (1951), 112–154 (in Russian)
Busemann, H.: The geometry of geodesics, Acad. Press, 1955
Mohrmann, H. (ed.): Festschrift D. Hilbert: zu seinem 60. ten Geburtstag, Springer, reprint, 1982
Bieberbach, L.: Einleitung in die höhere Geometrie, Teubner, 1933
Narayana Rao, M.L. and Kuppuswamy Rao, K.: ‘A class of non-desarguesian planes’, J. Comb. Theory Ser. A 19 (1975), 247–255
Coxeter, H.S.M.: Twelve geometric essays, Southern III. Univ. Press, 1968, p. 248
Hall, M.: The theory of groups, MacMillan, 1959, pp. 394–397
Pickert, G.: Projective Ebenen, Springer, 1975
Hughes, D. and Piper, F.C.: Projective planes, Springer, 1973
Hewitt, E. and Stromberg, K.: Real and abstract analysis, Springer, 1965
Stromberg, K.: Introduction to classical real analysis, Wadsworth, 1981
Aleksandrov, P.S.: What is non-Euclidean geometry?, Moscow, 1950 (in Russian)
Klein, F.: Nicht-Euklidische Geometrie: Vorlesungen gehalten während des Wintersemesters 1889–1890, Göttingen, 1893
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian)
Bonola, R.: Die nichteuklidische Geometrie, Teubner, 1908 (translated from the Italian)
Carslaw, H.S.: The elements of non-Euclidean plane geometry and trigonometry, Longmans, 1916
Sommerville, D.M.Y.: The elements of non-Euclidean geometry, Dover, reprint, 1958
Liebmann, H.: Nichteuklidische Geometrie, Gösschen, 1912
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1965
Rosenfeld, B.A.: A history of non-Euclidean geometry, Springer, 1988 (translated from the Russian)
Berger, M.: Geometry, 1–2, Springer, 1987 (translated from the French)
Busemann, H.: Recent synthetic geometry, Springer, 1970
Greenberg, M.: Euclidean and non-Euclidean geometry, Freeman, 1980
Kelly, P. and Matthews, G.: The non-Euclidean, hyperbolic plane, Springer, 1980
Greenberg, M.: Euclidean and non-euclidean geometries, Freeman, 1974
Rosenfeld, B.: A history of non-euclidean geometry, Springer, 1988 (translated from the Russian)
Privalov, I.I.: Integral equations, Moscow-Leningrad, 1937 (in Russian)
Petrovskiĭ, LG.: Lectures on the theory of integral equations, Graylock, 1957 (translated from the Russian)
Zabreyko, P.P. [P.P. Zabreĭko], et al.: Integral equations - a reference text, Noordhoff, 1975 (translated from the Russian)
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian)
Magnus, W., Karrass, A. and Solitar, D.: Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience, 1966
Baumslag, G. and Solitar, D.: ‘Some two-generator one-relator non-Hopfian groups’, Bull. Amer. Math. Soc. 68 (1962), 199–201
Hertz, H.: The principles of mechanics presented in a new form, Dover, 1956 (translated from the German)
Chetaev, N.G.: Izv. Fiz.-Mat Obshch. Kazan. Univ. (3) 6 (1932), 68–71
Neĭmark, Yu.I. and Fufaev, N.A.: Dynamics of nonholonomic systems, Amer. Math. Soc., 1972 (translated from the Russian)
Landau, L.D. and Lifshitz, E.M.: Course of theoretical physics, 1. Mechanics, Pergamon, 1976
Sudarshan, E.G.G. and Mukunda, N.: Classical dynamics, Wiley, 1974
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian)
Sewell, G.: The numerical solution of ordinary and partial differential equations, Acad. Press, 1988
Bellman, R. and Kalaba, R.: Quasilinearization and nonlinear boundary-value problems, Amer. Elsevier, 1965
Berezovskiĭ, A.A.: Lectures on the non-linear boundary value problems of mathematical physics, 1, Kiev, 1976 (in Russian)
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian)
Lions, J.-L.: Quelques méthodes de resolution des problèmes aux limites nonlineaires, Dunod, 1969
Glowinski, R., Lions, J.-L. and Trémolières, R.: Numerical analysis of variational inequalities, North-Holand, 1981 (translated from the French)
Glowinski, R.: Numerical methods for nonlinear variational problems, Springer, 1984
D’yakonov, E.G.: Minimization of computational work. Asymptotically optimal algorithms, Moscow, 1989 (in Russian)
Karchevskiĭ, M.M. and Lyashko, A.D.: Difference schemes for non-linear problems of mathematical physics, Kazan’, 1976 (in Russian)
Varga, R.: Functional analysis and approximation theory in numerical analysis, SIAM, 1971
Strang, G. and Fix, J.: An analysis of the finite element method, Prentice-Hall, 1973
Oden, J.: Finite elements of non-linear continua, McGraw-Hill, 1972
Krasnosel’skiĭ, M.A., et al.: Approximate solution of operator equations, Wolters-Noordhoff, 1972 (translated from the Russian)
Brezzi, F., Rappaz, T. and Raviart, P.: ‘Finite dimensional approximation of nonlinear problems III’, Numer. Math 38 (1981), 1–30
Amosov, A.A., Bakhvalov, N.S. and Osipik, Yu.I.: ‘Iterative processes for the problem of stationary heat exchange in a system of absolutely black bodies’, J. Comput. Math Math Phys. 20, no. 1 (1980), 110–119. (Zh Vychisl. Mat. Mat. Fiz 20, no. 1 (1980), 104–111)
Thomasset, F.: Implementation offinite element methods for Navier-Stokes equations, Springer, 1981
Ascher, A.M., Mattheij, D.M. and Russell, R.D.: Numerical solution of boundary value problems for ordinary differential equations, Prentice-Hall, 1988
Vagner, V.V.: ‘The theory of composite manifolds’, Trudy Sem. Vektor. Tenzor. Anal. 8 (1950), 11–72 (in Russian)
Evtushik, L.E.: ‘Non-linear connections of higher order’, Izv. Vuz. Mat. 2 (1969), 34–44 (in Russian)
Evtushik, L.E.: ‘Holonomy of nonlinear connections’, Sib. Math. J. 14, no. 3 (1973), 370–379. (Sibirsk Mat. Zh. 14, no. 3 (1973), 536–548)
Evtushik, L.E and Tret’yakov, V.B.: ‘Structures that can be defined by a system of higher order differential equations’, Trudy Geom. Sem. 6 (1974), 243–255 (in Russian). English abstract
Kawaguchi, A.: ‘On the theory of non-linear connections I. Introduction to the theory of general non-linear connections’, Tensor, New Ser. 2 (1952), 123–142
Berezin, I.S. and Zhidkov, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian)
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian)
Ortega, J. and Rheinboldt, W.: Iterative solution of nonlinear equations in several variables, Acad. Press, 1970
Krasnosel’skiĭ, M.A., et al.: Approximate solution of operator equations, Wolters-Noordhoff, 1972 (translated from the Russian)
Mikhlin, S.G.: The numerical performance of variational methods, Wolters-Noordhoff, 1971 (translated from the Russian)
Vaĭnberg, M.M.: Variational method and method of monotone operators in the theory of nonlinear equations, Wiley, 1973 (translated from the Russian)
Gajewski, H., Gröger, K. and Zacharias, K.: Nichtlineare Operatorengleichungen und Operatorendifferentialgleichungen, Akad. Verlag, 1974
Lions, J.-L.: Quelques méthodes de résolution des problèmes aux limites nonlineaires, Dunod, 1969
Vasil’ev, F.P.: Lectures on methods for solving extremal problems, Moscow, 1974 (in Russian)
Pshenichnyĭ, B.N. and Danilin, Yu.M.: Numerical methods in extremal problems, Mir, 1978 (translated from the Russian)
Glowinski, R.: Numerical methods for nonlinear variational problems, Springer, 1984
Voevodin, V.V.: Numerical methods of algebra. Theory and algorithms, Moscow, 1966 (in Russian)
D’yakonov, E.G.: Minimization of computational work. Asymptotically-optimal algorithms, Moscow, 1989 (in Russian)
Traub, J.F.: Iterative methods for the solution of equations, Prentice-Hall, 1964
Samarskiĭ, A.A. and Nikolaev, E.S.: Numerical methods for grid equations, 1–2, Birkhäuser, 1989 (translated from the Russian)
Glowinski, R., Lions, J.-L. and Tremolieres, R.: Numerical analysis of variational inequalities, North-Holland, 1981 (translated from the French)
Hackbusch, W.: ‘Multigrid solution of continuation problems’, in R. Ansorge, Th. Meis and W. Törnig (eds.): Iterative solution of nonlinear systems of equations, Lecture notes in math., Vol. 953, Springer, 1982, pp. 20–44
Thomasset, F.: Implementation of finite element methods for Navier-Stokes equations, Springer, 1981
Hackbusch, W. and Trottenberg, V. (eds.): Multigrid Methods. Proc. Köln-Porz, 1981, Lecture notes in math., 960, Springer, 1982
Daniel, J.W.: The approximate minimization of functionals, Prentice-Hall, 1971
Vaĭnberg, M. M.: Variational method and method of monotone operators in the theory of nonlinear equations, Wiley, 1973 (translated from the Russian)
Gajewsky, H., Gröger, K. and Zacharias, K.: Nichtlineare Operatorgeleichungen und Operatordifferentialgleichmgen, Akad. Verlag, 1974
Eells, J.: ‘The foundations of global analysis’, Uspekhi Mat. Nauk 24, no. 3 (1969), 157–210 (in Russian)
Krasnosel’skiĭ, MA.: Positive solutions of operator equations, Wolters-Noordhoff, 1964 (translated from the Russian)
Krasnosel’skiĭ, MA. and Zabreĭko, P.P.: Geometric methods of non-linear analysis, Springer, 1983 (translated from the Russian)
Lang, S.: Introduction to differentiable manifolds, Interscience, 1967
Lyusternik, L.A. and Sobolev, V.I.: Elemente der Funktionalanalysis, Akad. Verlag, 1968 (translated from the Russian)
Nirenberg, L.: Topics on nonlinear functional analysis, New York Univ., 1974
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc., 1957
Schwartz, J.T.: Nonlinear functional analysis, Gordon & Breach, 1969
Zeidler, E.: Nonlinear functional analysis and its applications, 1–3, Springer, 1986 (translated from the Russian)
Berger, M.S.: Nonlinearity and functional analysis, Acad. Press, 1977
Lyapunov, A.M.: Zap. Akad. Nauk. St. Petersburg (1906), 1–225
Urysohn, P.S.: Mat. Sb. 31 (1923), 236–255
Vaĭnberg, M.M.: Variational methods for the study of nonlinear operators, Holden-Day, 1964 (translated from the Russian)
Krasnosel’skiĭ, M.A.: Topological metods in the theory of nonlinear integral equations, Pergamon, 1964 (translated from the Russian)
Krasnosel’skiĭ, M.A., et al.: Integral operators in spaces of summable functions, Noordhoff, 1976 (translated from the Russian)
Vaĭnberg, M.M. and Trenogin, V.A.: Theory of branching of solutions of non-linear equations, Noordhoff, 1974 (translated from the Russian)
Vaĭnberg, M.M.: Variational methods and methods of nonlinear operators in the theory of nonlinear equations, Wiley, 1973 (translated from the Russian)
Schmidt, E.: ‘Zur Theorie der linearen und nichtlinearen Integralgleichungen III’, Math. Ann. 65 (1908), 370–399
Hammerstein, A.: ‘Nichtlineare Integralgleichungen nebst Anwendungen’, Acta Math. 54 (1930), 117–176
Zabreyko, P.P. [P.P. Zabreĭko], et al.: Integral equations - a reference text, Noordhoff, 1975 (translated from the Russian)
Lyusternik, L.A. and Sobolev, V.I.: Elemente der Funktionalanalysis, Akad. Verlag, 1968 (translated from the Russian)
Kantorovich, L.V. and Akilov, G.P.: Funktionalanalysis in normierten Räume, Akad. Verlag, 1964 (translated from the Russian)
Vaĭnberg, M.M.: Variational methods for the study of nonlinear operators, Holden-Day, 1964 (translated from the Russian)
Krasnosel’skiĭ, M.A. and Zabreĭko, P.P.: Geometric methods of non-linear analysis, Springer, 1983 (translated from the Russian)
Gajewski, H., Gröger, K. and Zacharias, K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akad. Verlag, 1974
Poincaré, H.: Oeuvres, 1, Gauthier-Villars, 1951
Andronov, A.A., Witt, A A. and Khaĭkin, S.E.: Theory of oscillators, Pergamon, 1966 (translated from the Russian)
Bulgakov, B.V.: Oscillations, Moscow, 1954 (in Russian)
Malkin, I.G.: Some problems of the theory of non-linear oscillations, Moscow, 1956 (in Russian)
Bogolyubov, N.N.: Selected works, 1, Kiev, 1969 (in Russian)
Bogolyubov, N.N. and Mitropol’skiĭ, Yu.A.: Asymptotic methods in the theory of non-linear oscillations, Gordon & Breach, 1961 (translated from the Russian)
Kamenkov, G.B.: Selected works, 1–2, Moscow, 1971–1972 (in Russian)
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian)
Starzhinskiĭ, V.M.: Applied methods in the theory of nonlinear oscillations, Mir, 1980 (translated from the Russian)
Brjuno, A.D. [A.D. Bryuno]: ‘Analytical form of differential equations’, Trans. Moscow Math. Soc. 25 (1972), 131–288. (Trudy Moskov. Mat. Obshch 25 (1971), 119–262)
Brjuno, A.D. [A.D. Bryuno]: ‘The analytic form of differential equations II’, Trans. Moscow Math. Soc. 26 (1972), 199–239. (Trudy Moskov. Mat. Obshch 26 (1972), 199–239)
Neĭmark, Yu.I.: The method of point mappings in the theory of non-linear oscillations, Moscow, 1972 (in Russian)
Minorsky, N.: Nonlinear oscillations, v. Nostrand, 1962 (translated from the Russian)
Krasnosel’skiĭ, M.A., Burd, V.Sh. and Kolesov, Yu.S.: Nonlinear almost periodic oscillations, Wiley, 1973 (translated from the Russian)
Poincaré, H.: ‘Mémoire sur les courbes définies par une équation différentielle I-IV’, in Oeuvres, Vol. 1, Gauthier-Villars, 1951, pp. Part V; nos. 74–77
Butenin, N.V., Neĭmark, Yu.I. and Fufaev, N.A.: Introduction to the theory of non-linear oscillations, Moscow, 1976 (in Russian)
Puss, V.A.: Nonlocal problems of the theory of oscillations, Acad. Press, 1966 (translated from the Russian)
Mishchenko, E.F. and Rozov, N.Kh.: Differential equations with small parameters and relaxation oscillations, Plenum, 1980 (translated from the Russian)
Stoker, J.J.: Nonlinear vibrations in mechanical and electrical systems, Interscience, 1950
Hale, J.K.: Oscillations in nonlinear systems, McGraw-Hill, 1963
Minorski, N.: Nonlinear oscillations, v. Nostrand, 1962
Guckenheimer, J. and Holmes, Ph.: Nonlinear oscillations, dynamical systems and bifurcations of vector fields, Springer, 1983
Hayashi, C.: Nonlinear oscillations in physical systems, McGraw-Hill, 1964
Nayfeh, A.H. and Mook, D.T.: Nonlinear oscillations, Wiley, 1979
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German)
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian)
Gilbarg, D. and Trudinger, N.S.: Elliptic partial differential equations of second order, Springer, 1977
Ladyzhenskaya, O.A., Solonnikov, V.A. and Ural’tseva, N.N.: Linear and quasi-linear equations of parabolic type, Amer. Math. Soc., 1968 (translated from the Russian)
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964
Nirenberg, L.: Topics in nonlinear functional analysis, New York Univ., 1974
Lions, J.-L.: Quelques méthodes de resolution des problèmes aux limites nonlineaires, Dunod, 1969
Rozhdestvenskiĭ, B.L. and Yanenko, N.N.: Systems of quasilinear equations and their applications to gas dynamics, Amer. Math. Soc., 1983 (translated from the Russian)
Skrypnik, I.V.: Non-linear elliptic equations of higher order, Kiev, 1973 (in Russian)
Fučik, S., Nečas, J. and Souček, V.: Spectral analysis of nonlinear operators, Springer, 1973
Ovisannikov, L.V. [L.V. Ovsyannikov]: Group analysis of differential equations, Acad. Press, 1982 (translated from the Russian)
Zakharov, V.E., Manakov, S.V., Novikov, S.P. and Pitaevskiĭ, L.P.: Theory of solutions. The method of the inverse problem, Moscow, 1980 (in Russian)
Vishik, M.I.: ‘Quasi-linear strongly elliptic systems of differential equations in divergence form’, Trans. Moscow Math. Soc. 12 (1963), 140–208. (Trudy Moskov. Mat. Obshch. 12 (1963), 125–184)
Giaquinta, M. and Modica, G.: ‘Almost-everywhere regularity results for solutions of non-linear elliptic systems’, Manuscripta Math. 28 (1979), 109–158
Dubinskiĭ, Yu.A.: ‘Sobolev spaces of infinite order and the behaviour of solutions of some boundary value problems with unbounded increase of the order of the equation’, Math. USSR Sb. 27, no. 2 (1975), 143–162. (Mat. Sb. 98, no. 2 (1975), 163–184)
Kazdan, J.L. and Krammer, R.: ‘Invariant criteria for existence of solutions to second-order quasilinear elliptic equations’, Comm Pure Appl. Math. 31, no. 5 (1978), 619–645
Koshelev, A.I.: ‘Regularity of solutions of quasi-linear elliptic systems’, Russian Math. Surveys 33, no. 4 (1978), 1–52. (Uspekhi Mat. Nauk 33, no. 4 (1978), 3–49)
Kruzhkov, S.N.: ‘First order quasilinear equations in several independent variables’, Math USSR Sb. 10, no. 2 (1970), 217–243. (Mat. Sb. 81, no. 2 (1970), 228–255)
Kruzhkov, S.N.: ‘Nonlinear parabolic equations in two independent variables’, Trans. Moscow Math. Soc. 16 (1967), 355–373. (Trudy Moskov. Mat. Obshch. 16 (1967), 329–346)
Oleinik, O.A.: ‘Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation’, Uspekhi Mat Nauk 14, no. 2 (1959), 165–170 (in Russian)
Pokhozhaev, S.I.: ‘On the eigenfunctions of quasilinear elliptic problems’, Math. USSR Sb. 11, no. 2 (1970), 171–188. (Mat. Sb. 82, no. 2 (1970), 192–212)
Pokhozhaev, S.I.: ‘On a class of quasilinear hyperbolic equations’, Math USSR Sb. 25, no. 1 (1975), 145–158. (Mat. Sb. 96, no. 1 (1975), 152–166)
Pokhozhaev, S.I.: ‘On equations of the form Δu = f(x, u, Du)’, Math USSR Sb. 41, no. 2 (1982), 269–280. (Mat. Sb. 113, no. 2 (1980), 324–338)
Krylov, N.V.: Nonlinear elliptic and parabolic equations of the second order, Reidel, 1987 (translated from the Russian)
Amann, H.: ‘Quasilinear parabolic systems’, in L. Boccardo and A. Tesei (eds.): Nonlinear parabolic equations: qualitative properties of solutions, Longman, 1987, pp. 5–12
Campanato, S.: ‘L 2, λ theory and nonlinear parabolic systems’, in L. Boccardo and A. Tesei (eds.): Nonlinear parabolic equations: qualitative properties of solutions, Longman, 1987, pp. 55–62
Garabedian, P.: Partial differential equations, Wiley, 1964
Maz’ya, V.G. and Khavin, V.P.: ‘Nonlinear potential theory’, Russian Math. Surveys 27, no. 6 (1972), 71–148. (Uspekhi Mat. Nauk 27, no. 6 (1972), 67–138)
Adams, D.R.: ‘Weighted nonlinear potential theory’, Trans. Amer. Math. Soc. 297 (1986), 73–94
Bertin, E.M.J.: ‘Fonctions convexes et théorie du potentiel’, Indag. Math. 41 (1979), 385–409
Grandlund, S., Lindqvist, P. and Martio, O.: ‘Note on the PWB-method in the non-linear case’, Pacific J. Math. 125 (1986), 381–395
Hedberg, L.I. and Wolff, Th.H.: ‘Thin sets in nonlinear potential theory’, Ann. Inst. Fourier (Grenoble) 33, no. 4 (1983), 161–187
Laine, I.: ‘Axiomatic non-linear potential theories’, in J. Král, et al. (ed.): Potential Theory. Survey and Problems. Prague, 1987, Lecture notes in math., Vol. 1344, Springer, 1988, pp. 118–132
Mizuta, Y. and Nakai, T.: ‘Potential theoretic properties of the subdifferential of a convex function’, Hiroshima Math. J. 7 (1977), 177–182
Zangwill, W.I.: Nonlinear programming: a unified approach, Prentice-Hall, 1969
Karmanov, V.G.: Mathematical programming, Moscow, 1975 (in Russian)
Polak, E.: Computational methods in optimization: a unified approach, Acad. Press, 1971
Minoux, M.: Mathematical programming: theory and algorithms, Wiley, 1986
Halmos, P.: Measure theory, v. Nostrand, 1950
Oxtoby, J.: Measure and category, Springer, 1971
Gelbaum, B. and Olmsted, J.: Counterexamples in analysis, Holden-Day, 1964
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982
Levin, A.Yu.: ‘Non-oscillation of solutions of the equation x(n)+p1(t)x(n-1)+···+pn(t)x=0’ Russian Math. Surveys 24, no. 2 (1969), 43–99. (Uspekhi Mat. Nauk 24, no. 2 (1969), 43–96)
Coppel, W.A.: Disconjugacy, Springer, 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
Hodges, J. and Lehmann, E.: ‘Estimates of location based on rank tests’, Ann. Math. Stat. 34 (1963), 598–611
Walsh, J.E: Handbook of nonparametric statistics, 1–3, v. Nostrand, 1965
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 2. Inference and relationship, Griffin, 1979
Martynov, G.V.: The omega-squared test, Moscow, 1978 (in Russian)
Billingsley, P.: Convergence of probability measures, Wiley, 1968
Wieand, H.: ‘A condition under which the Pitman and Bahadur approaches to efficiency coincide’, Ann. of Stat. 4 (1976), 1003–1011
Hájek, J. and Šidak, Z.: Theory of rank tests, Acad. Press, 1967
Kendall, M.: Rank correlation, Griffin, 1968
Dvoretzky, A., Kiefer, J. and Wolfowitz, J.: ‘Asymptotic minimax characterization of the sample distribution function and of the classical multinomial estimator’, Ann. Math Stat. 27 (1956), 642–669
Chentsov, N.N.: Statistical decision rules and optimal inference, Amer. Math. Soc., 1982 (translated from the Russian)
Ibragimov, I.A. and Has’minskii, R. [R.Z. Khas’minskiĭ]: Statistical estimation: asymptotic theory, Springer, 1981 (translated from the Russian)
Waerden, B.L. van der: Mathematische Statistik, Springer, 1957
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1986
Schmetterer, L.: Einführung in die Mathematische Statistik, Springer, 1966
Lehmann, E.L.: Nonparametrics: statistical methods based on ranks, McGraw-Hill, 1975
Ikeda, N. and Watanabe, S.: Stochastic differential equations and diffusion process, North-Holland, 1981, Sect. IV.8.5
Nadaraya, E.A.: Nonparametric estimation of probability densities and regression curves, Kluwer, 1989 (translated from the Russian)
Rao, C.R.: Linear statistical inference and its applications, Wiley, 1965
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
Ibragimov, I.A. and Has’minskiĭ, R.Z. [R.Z. Khas’minskiĭ]: Statistical estimation: asymptotic theory, Springer, 1981 (translated from the Russian)
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 2. Inference and relationship, Griffin, 1979
Hilbert, D.: Grundlagen der Geometrie, Springer, 1913
Bieberbach, L.: Einleitung in die höhere Geometrie, Teubner, 1933
Skornyakov, L.A.: ‘Projective planes’, Uspekhi Mat. Nauk 6, no. 6 (1951), 112–154 (in Russian)
Coxeter, H.S.M.: Twelve geometric essays, Univ. Illinois Press, 1968
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956
Fraenkel, A.A. and Bar-Hillel, Y.: Foundations of set theory, North-Holland, 1958
Hilbert, D. and Ackermann, W.: Principles of mathematical logic, Chelsea, 1950 (translated from the German)
Takeuti, G.: Two applications of logic to mathematics, Shoten, 1978
Keldysh, M.V.: ‘On eigenvalues and eigenfunctions of some classes of nonselfadjoint equations’, Dokl Akad. Nauk SSSR 77, no. 1 (1951), 11–14 (in Russian)
Keldysh, M.V.: ‘On the completeness of the eigenfunctions of some class of non-self adjoint linear operators’, Russian Math. Surveys 26, no. 4 (1971), 15–44. (Uspekhi Mat. Nauk 26, no. 4 (1971), 15–41)
Keldysh, M.V.: ‘On a Tauberian theorem’, Trudy Mat. Inst. Steklov. 38 (1951), 77–86 (in Russian)
Allakhverdiev, D.E.: ‘On completeness of a system of eigenelements and associated elements of a nonselfadjoint operator close to normal’, Dokl. Akad. Nauk SSSR 115, no. 2 (1957), 207–210 (in Russian)
Langer, H.K.: ‘On J-Hermitian operators’, Soviet Math. Dokl 1, no. 4 (1960), 1052–1055. (Dokl. Akad. Nauk SSSR 134, no. 2 (1960), 263–266)
Kreĭn, M.G.: ‘A new application of the fixed-point principle in the theory of operators on a space with indefinite metric’, Soviet Math. Dokl 5, no. 1 (1964), 266–269. (Dokl. Akad. Nauk SSSR 154, no. 5 (1964), 1023–1026)
Langer, H.K. and Kreĭn, M.G.: Applications of function theory in the mechanics of a continuous medium, Moscow, 1965 (in Russian)
Pontryagin, L.S.: ‘Hermitian operators in spaces with indefinite metric’, Izv. Akad. Nauk SSSR Ser. Mat. 8 (1944), 243–280 (in Russian)
Lidskiĭ, V.B.: ‘On completeness of a system of eigenelements and associated functions of a nonselfadjoint operator’, Dokl. Akad. Nauk. SSSR 110, no. 2 (1956), 172–175 (in Russian)
Agranovich, M.S.: ‘Summability of series in root vectors of non-self-adjoint elliptic operators’, Funct. Anal. Appl 10, no. 3 (1976), 1–3. (Funktsional. Anal. i Prilozhen. 10, no. 3 (1976), 1–12)
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)
Katsnel’son, V.E.: ‘Conditions under which systems of eigenvectors of some classes of operators form a basis’, Funct. Anal. Appl. 1, no. 2 (1967), 122–133. (Funksional. Anal. i Prilozhen. 1, no. 2 (1967), 39–51)
Lidskiĭ, B.V.: ‘Conditions for complete continuity of the resolvent of a differential operator’, Dokl. Akad. Nauk SSSR 113, no. 1 (1957), 28–31 (in Russian)
Kostyuchenko, A.G.: ‘Asymptotic distribution of the eigenvalues of elliptic operators’, Soviet Math. Dokl. 5, no. 5 (1964), 1171–1175. (Dokl Akad. Nauk SSSR 158, no. 1 (1964), 41–44)
Ponomarev, S.M.: ‘A generalization of M.V. Keldysh’s theorem concerning the completeness of eigen- and associated functions of the first boundary value problem for a nonself-adjoint elliptic operator’, Diff. Eq. 10, no. 12 (1974), 1777–1779. (Differentsial Uravnen. 10, no. 12 (1974), 2294–2296)
Krukovskiĭ, N.M.: ‘The m-tuple completeness of the system of generalized eigenfunctions and associated functions of a non-self-adjoint elliptic operator’, Diff. Eq. 12, no. 10 (1976), 1290–1296. (Differentsial. Uravnen. 12, no. 10 (1976), 1832–1851)
Gohberg, I.C. [I.Ts. Gokhberg] and Kreĭn, M.G.: Theory and applications of Volterra operators in Hilbert space, Amer. Math. Soc., 1970 (translated from the Russian)
Brodskiĭ, M.S. and Kisilevskiĭ, G.E.: ‘Criterion for unicellularity of dissipative Volterra operators with nuclear imaginary components’, Izv. Akad. Nauk SSSR Ser. Mat. 30, no. 6 (1966), 1213–1228 (in Russian)
Nikol’skiĭ, N.K.: ‘The unicellularity and nonunicellularity of weighted shift operators’, Soviet Math. Dokl. 8, no. 1 (1967), 91–94. (Dokl. Akad. Nauk SSSR 172, no. 2 (1967), 287–290)
Naĭmark, M.A.: ‘Investigation of the spectrum and the expansion in eigenfunctions of a second-order non-self-adjoint operator on a semi-axis’, Trudy Moskov. Mat. Obshch. 3 (1954), 181–270 (in Russian)
Naĭmark, M.A.: Linear differential operators, Harrap, 1968 (translated from the Russian)
Gasymov, M.G.: ‘Expansion in solutions of the scattering problem for a nonselfadjoint Schrödinger equation’, Dokl. Akad. Nauk AzSSR 22, no. 10 (1966), 9–12 (in Russian)
Marchenko, V.A.: ‘Eigenfunction expansions of non-self-adjoint singular second-order differential operators’, Mat. Sb. 52 (1960), 739–788 (in Russian)
Sadovnichiĭ, V.A.: ‘Analytic properties of solutions of system of equations with singularities that form segments’, Trudy Sem. Petrov. 2 (1976), 211–221 (in Russian)
Tamarkin, Ya.D.: On some general problems of the theory of ordinary linear differential equations…, Petrograd, 1917 (in Russian)
Ward, L.E.: ‘An irregular boundary value and expansion problem’, Ann. of Math. (2) 26 (1925), 21–36
Ward, L.E.: ‘A third order irregular boundary value problem and the associated series’, Trans. Amer. Math. Soc. 34 (1932), 417–434
Khromov, A.P.: Proc. Second Conf. Inst. Higher Education, Vol. 1, Kuibyshev, 1962, pp. 109–113 (in Russian)
Mikhaĭlov, V.P.: ‘Riesz bases in L 2(0,1)’, Soviet Math. Dokl. 3, no. 3 (1962), 851–854. (Dokl. Akad. Nauk SSSR 144, no. 5 (1962), 981–984)
Kessel’man, G.M.: Izv. Vyzov. Mat. 2 (1964), 82–93
Il’in, V.A.: ‘On the properties of a reduced system of eigenfunctions and associated functions of a Keldysh bundle of ordinary differential operators’, Soviet Math. Dokl. 17, no. 5 (1976), 1247–1250. (Dokl. Akad. Nauk SSSR 230 (1976), 30–33)
Moisev, E.N.: ‘The uniform convergence of certain expansions in a closed domain’, Soviet Math. Dokl. 18, no. 2 (1977), 549–553. (Dokl. Akad. Nauk SSSR 233 (1977), 1042–1045)
Tikhomirov, V.V.: ‘On the Riesz means of expansions in eigenfunctions and associated functions of a nonselfadjoint ordinary differential operator’, Math. USSR Sb. 31, no. 1 (1977), 29–48. (Mat. Sb. 102, no. 1 (1977), 33–55)
Lidskiĭ, V.B.: ‘Fourier series expansion of principal functions of a non-self-adjoint elliptic operator’, Mat. Sb. 57, no. 2 (1962), 137–150 (in Russian)
Samarskiĭ, A.A.: Uspekhi Mat. Nauk 5, no. 3 (1950), 133–134
Tikhonov, A.N.: ‘Regularization of incorrectly posed problems’, Soviet Math. Dokl. 4, no. 6 (1963), 1624–1627. (Dokl. Akad. Nauk SSSR 153, no. 1 (1963), 49–52)
Gel’fand, I.M. and Levitan, B.M.: ‘On a simple identity for the characteristic values of a second-order differential operator’, Dokl. Akad. Nauk SSSR 88, no. 4 (1953), 593–596 (in Russian)
Lidskiĭ, V.B. and Sadovnichiĭ, V.A.: ‘Regularized sums of zeros for a class of entire functions’, Soviet Math. Dokl. 8, no. 5 (1967), 1082–1085. (Dokl. Akad. Nauk SSSR 176, no. 2 (1967), 259–262)
Sadovnichiĭ, V.A.: ‘The zeta-function and eigenvalues of differential operators’, Diff. Eq. 10, no. 7 (1974), 986–994. (Differentsial. Uravnen. 10, no. 7 (1974), 1276–1285)
Lyubishkin, V.A. and Sadovnichiĭ, V.A.: ‘Regularized traces of discrete operators’, Soviet Math. Dokl. 24, no. 3 (1981), 514–517. (Dokl. Akad. Nauk SSSR 261, no. 2 (1981), 290–293)
Keldysh, M.V. and Lidskiĭ, V.B.: ‘On the spectral theory of nonselfadjoint operators’, in Fourth All-Union Math. Congress, Vol. 1, Leningrad, 1963, pp. 101–120 (in Russian)
Lax, P.D. and Philipps, R.S.: Scattering theory for automorphic functions, Princeton Univ. Press, 1976
Sz.-Nagy, B. and Foiaş, Ch.: Harmonic analysis of operators on Hilbert space, North-Holland, 1970
Maslov, V.P.: Operational methods, Mir, 1976 (translated from the Russian)
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral operators, 3, Interscience, 1971
Markus, A.S.: Introduction to the spectral theory of polynomial operator pencils, Amer. Math. Soc., 1986 (translated from the Russian)
Gohberg, I., Lancaster, P. and Rodman, L.: Matrix polynomials, Acad. Press, 1982
Bart, H., Gohberg, I. and Kaashoek, MA: Minimal factorization of matrix and operator functions, Birkhäuser, 1979
Rodman, L.: An introduction to operator polynomials, Birkhäuser, 1989
Livšic, M.S. [M.S. Lifshits]: Operators, oscillations, waves, Amer. Math. Soc., 1973 (translated from the Russian)
Brodskiĭ, M.S.: Triangular and Jordan representations of linear operators, Amer. Math. Soc., 1971 (translated from the Russian)
Bercovici, H.: Operator theory and arithmetic in H ∞, Amer. Math. Soc., 1988
Branges, L. de: Hilbert spaces of entire functions, Prentice-Hall, 1968
Branges, L. de and Rovnyak, J.: Square summable power series, Rinehart & Winston, 1966
Branges, L. de: ‘A proof of the Bieberbach conjecture’, Acta Math. 154 (1985), 137–152
Brodskiĭ, M.S. and Livšic, M.S. [M.S. Lifshits]: ‘Spectral analysis of non-selfadjoint operators and intermediate systems’, Transl. Amer. Math. Soc. (2) 13 (1960), 265–346
Dowson, H.R.: Spectral theory of linear operators, Acad. Press, 1978
Markushevich, A.I.: Theory of functions of a complex variable, 3, Chelsea, Chapts. 2; 8 (translated from the Russian)
Kurosh, A.G.: Matrix theory, Chelsea, reprint, 1960 (translated from the Russian)
McDonald, B.R.: Linear algebra over commutative rings, M. Dekker, 1984
Kervaire, M.: ‘A manifold which does not admit any differentiable structure’, Comment Math. Helv. 34 (1960), 257–270
Milnor, J. and Stasheff, J.: Characteristic classes, Princeton Univ. Press, 1974
Hirsh, M.W. and Mazur, B.: Smoothings of piecewise linear manifolds, Princeton Univ. Press, 1974
Siebenmann, L.C.: ‘Topological manifolds’, in Actès Congrès Internat Mathématiciens Nice, 1970, Vol. 2, Gauthier-Villars, 1970, pp. 133–163
Smale, S.: ‘The generalized Poincaré conjecture in higher dimensions’, Bull. Amer. Math. Soc. 66 (1960), 373–375
Robinson, A.: Non-standard analysis, North-Holland, 1966
Davis, M.: Applied nonstandard analysis, Wiley, 1977
Albeverio, S., Fenstad, J.E., Høegh-Krohn, R. and Lindstrøm, T.: Nonstandard methods in stochastic analysis and mathematical physics, Acad. Press, 1986
Stroyan, K.D. and Bayod, J.M.: Foundations of infinitesimal stochastic analysis, North-Holland, 1986
Hurd, A.E. and Loeb, P.A.: An introduction to nonstandard real analysis, Acad. Press, 1985
Cutland, N. (ed.): Nonstandard analysis and its applications, Cambridge Univ. Press, 1988
Nelson, E: Radically elementary probability theory, Princeton Univ. Press, 1987
Luxemburg, W. and Robinson, A. (eds.): Contributions to non-standard analysis, North-Holland, 1972
Luxemburg, W. and Stroyan, K.: Introduction to the theory of infinitesimals, Acad. Press, 1976
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, Graylock, 1957–1961 (translated from the Russian)
Ljusternik, L.A. [L.A. Lyusternik] and Sobolew, W.I. [V.I. Sobolev]: Elemente der Funktionalanalysis, H. Deutsch, Frankfurt a. M., 1979
Shilov, G.E.: Mathematical analysis, 1–2, M.I.T., 1974 (translated from the Russian)
Kantorovich, L.V. and Akilov, G.P.: Funktionalanalysis in nomierten Räume, Akad. Verlag, 1977 (translated from the Russian)
Rudin, W.: Functional analysis, McGraw-Hill, 1979
Day, M.M.: Normed linear spaces, Springer, 1973
Glazman, I.M. and Lyubich, Yu.I.: Finite-dimensional linear analysis: a systematic presentation in problem form, M.I.T., 1974 (translated from the Russian)
Aupetit, B.: Propriétés spectrales des algèbres de Banach, Springer, 1979
Kirillov, A A. and Grishiani, A.D.: Theorems and problems of functional analysis, Springer, 1982 (translated from the Russian)
Beauzamy, B.: introduction to Banach spaces and their geometry, North-Holland, 1982
Lindenstrauss, J. and Tzafriri, L.: Classical Banach spaces, 1–2, Springer, 1977–1979
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian)
Robinson, D.J.S.: Finiteness conditions and generalized solvable groups, 2, Springer, 1972, p. 45
Lang, S.: Algebra, Addison-Wesley, 1984
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian)
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French)
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian)
Lang, S.: Algebra, Addison-Wesley, 1984
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian)
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1986
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1986
Koch, H.: Galoissche Theorie der p-Erweiterungen, Deutsch. Verlag Wissenschaft., 1970
Milnor, J.: Introduction to algebraic K-theory, Princeton Univ. Press, 1971
Shafarevich, I.R.: ‘A general reciprocity law’, Mat. Sb. 26, no. 1 (1950), 113–146 (in Russian)
Iwasawa, K.: Local class field theory, Oxford Univ. Press, 1986
Neukirch, J.: Class field theory, Springer, 1986
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
Spivak, M.: A comprehensive introduction to differential geometry, 1–5, Publish or Perish, 1979
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973
Chen, B.-Y.: Geometry of submanifolds, M. Dekker, 1973
Markov, A.A.: Theory of algorithms, Israel Progr. Sci. Transl., 1961 (translated from the Russian). Also: Trudy Mat. Inst. Steklov. 42 (1954)
Markov, A.A. and Nagorny, N.M. [N.M. Nagornyĭ]: The theory of algorithms, Kluwer, 1988 (translated from the Russian)
Mendelson, E.: Introduction to mathematical logic, v. Nostrand, 1964
Abhyankar, S.S.: Local analytic geometry, Acad. Press, 1964
Houzel, C.: ‘Géometrie analytique locale I’, in Sém. H. Cartan Ann. 13 1960/61, Vol. 2, 1963, Exp. 18–21
Grauert, H. and Remmert, R.: ‘Komplexe Räume’, Math. Ann. 136 (1958), 245–318
Narasimhan, R: ‘A note on Stein spaces and their normalisations’, Ann. Scuola Norm. Sup. Pisa 16 (1962), 327–333
Siu, Y.T. and Trautmann, G.: Gap sheaves and extensions of coherent analytic subsheaves, Springer, 1971
Grauert, H.: ‘Ueber Modifikationen und exzeptionelle analytische Mengen’, Math. Ann. 146 (1962), 331–368
Zariski, O. and Samuel, P.: Commutative algebra, 2, Springer, 1960
Fuks, B.A.: Theory of analytic functions of several complex variables, 1, Amer. Math. Soc., 1963 (translated from the Russian)
Whitney, H.: Complex analytic varieties, Addison-Wesley, 1972, Chapt. 8
Onishchik, A.L.: ‘Pseudoconvexity in the theory of complex spaces’, J. Soviet Math. 14, no. 3 (1980), 1363–1406. (Itogi Nauk. i Tekhn. Algebra. Topol Geom. 15 (1977), 93–156)
Milnor, J. and Stasheff, J.: Characteristic classes, Princeton Univ. Press, 1974
Rokhlin, V.A. and Fuks, D.B.: Beginner’s course in topology: geometric chapters, Springer, 1984 (translated from the Russian)
Hirsch, M.: Differential topology, Springer, 1976
Shafarevich, I.R: Basic algebraic geometry, Springer, 1977 (translated from the Russian)
Steenrod, N.E.: The topology of fibre bundles, Princeton Univ. Press, 1951
Lyapin, E.S.: Semigroups, Amer. Math. Soc., 1974 (translated from the Russian)
Bourbaki, N.: Elements of mathematics. General topology, Addison-Wesley, 1966 (translated from the French)
Bourbaki, N.: Elements of mathematics. Functions of a real variable, Addison-Wesley, 1976 (translated from the French)
Schwartz, L.: Cours d’analyse, 1, Hermann, 1967
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces, Springer, 1988 (translated from the French)
Do Carmo, M.: Differetial geometry of curves and surfaces, Prentice Hall, 1976
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973
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
Tables of the normal probability integral, the normal density, and its normal derivatives, Moscow, 1960 (in Russian)
Gnedenko, B.V.: The theory of probability, Chelsea, 1962 (translated from the Russian)
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 1. Distribution theory, Griffin, 1977
Kendall, M.G. and Stuart, A.: The advanced theory of statistics., 2. Inference and relationship, Griffin, 1979
Johnson, N.L. and Kotz, S.: Distributions in statistics, 2. Continuous univariate distributions, Wiley, 1970
Johnson, N.L. and Kotz, S.: Distributions in statistics, 3. Continuous multivariate distributions, Wiley, 1972
Pearson, E.S. and Hartley, H.O.: Biometrika tables for statisticians, 1, Cambridge Univ. Press, 1966
Waerden, B.L. van der: Algebra, 1–2, Springer, 1967–1971 (translated from the German)
Lang, S.: Algebra, Addison-Wesley, 1984
Postnikov, M.M.: Galois theory, Moscow, 1962 (in Russian)
Montel, P.: Leçons sur les familles normales de fonctions analytiques et leurs applications, Gauthier-Villars, 1927
Markushevich, A.I.: Theory of functions of a complex variable, 2, Chelsea, 1977 (translated from the 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)
Krantz, S.G.: Function theory of several complex variables, Wiley, 1982
Lehto, O. and Virtanen, K.I.: ‘Boundary behaviour and normal meromorphic functions’, Acta Math. 97 (1957), 47–65
Markus, M. and Minc, H.: A survey of matrix theory and matrix inequalities, Allyn & Bacon, 1964
Lancaster, P.: Theory of matrices, Acad. Press, 1969
Lang, S.: Algebra, Addison-Wesley, 1974
Mal’tsev, A.I.: Foundations of linear algebra, Freeman, 1963 (translated from the Russian)
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wesley, 1975, Chapt. 4; 5; 6 (translated from the French)
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, p. Chapt. 1; 2 (translated from the French)
Smith, H.J.S.: ‘On systems of linear indeterminate equations and congruences’, in Collected Math. Papers, Vol. 1, Chelsea, reprint, 1979, pp. 367–409
Frobenius, G.: ‘Theorie der linearen Formen mit ganzen Coeffizienten’, J. Reine Angew. Math. 86 (1879), 146–208
Gantmakher, F.R.: The theory of matrices, Chelsea, reprint, 1977 (translated from the Russian)
Serre, J.-P.: A course in arithmetic, Springer, 1973 (translated from the French)
Wolovich, W.A.: Linear multivariable systems, Springer, 1974
Klamka, J.: Controllability of dynamical systems, Kluwer, 1990
Golub, S.H. and Wilkinson, J.H.: ‘III conditioned eigensystems and the computation of the Jordan canonical form’, SIAM Rev. 18 (1976), 578–619
Arnol’d, V.I.: ‘On matrices depending on parameters’, Russ. Math. Surv. 26, no. 2 (1971), 29–43. (Uspekhi Mat. Nauk 26, no. 2(1971), 101–114)
Hazewinkel, M.: ‘(Fine) moduli spaces for linear systems: what are they and what are they good for’, in C.I. Byrnes and C.F. Martin (eds.): Geometrical methods for the theory of linear systems, Reidel, 1980, pp. 125–193
Turnball, H.W. and Aitken, A.C.: An introduction to the theory of canonical matrices, Blackie & Son, 1932
Plesner, A.I.: Spectral theory of linear operators, Moscow, 1965 (in Russian)
Akhiezer, N.I. and Glazman, I.M.: Theory of linear operators in Hilbert spaces, Pitman, 1981 (translated from the Russian)
Berezin, FA.: The method of second quantization, Acad. Press, 1966 (translated from the Russian)
Bogolubov, N.N. [N.N. Bogolyubov], Logunov, A.A. and Todorov, I.T.: Introduction to axiomatic quantum field theory, Benjamin, 1975 (translated from the Russian)
Källen, G.: Quantum electrodynamics, Springer, 1972
Glimm, J. and Jaffee, A.: Quantum physics, Springer, 1981
Mal’tsev, A.I.: Algorithms and recursive functions, Wolters-Noordhoff, 1970 (translated from the Russian)
Markov, A.A.: ‘On the representation of recursive functions’, Izv. Akad. Nauk SSSR Ser. Mat. 13, no. 5 (1949), 417–424 (in Russian)
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951, p. 288
Poincaré, H.: ‘Thèse, 1928’, in Oeuvres, Vol. 1, Gauthier-Villars, 1951, pp. IL-CXXXII
Bruno, A.D. [A.D. Bryuno]: ‘Analytical form of differential equations’, Trans. Moscow Math. Soc. 25 (1971), 131–288. (Trudy Moskov. Mat. Obshch. 25 (1971), 119–262)
Bruno, A.D. [A.D. Bryuno]: ‘Analytical form of differential equations’, Trans. Moscow Math. Soc. (1972), 199–239. (Trudy Moskov. Mat. Obshch. 26 (1972), 199–239)
Bryuno, A.D.: Local methods in nonlinear differential equations, 1, Springer, 1989 (translated from the Russian)
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982
Samovol, V.S.: ‘Linearization of a system of differential equations in the neighbourhood of a singular point’, Soviet Math. Dokl. 13 (1972), 1255–1259. (Dokl. Akad Nauk SSSR 206 (1972), 545–548)
Samovol, V.S.: ‘Equivalence of systems of differential equations in the neighbourhood of a singular point’, Trans. Moscow Math. Soc. (2) 44 (1982), 217–237. (Trudy Moskov. Mat. Obshch. 44 (1982), 213–234)
Belitskiĭ, G.R.: ‘Equivalence and normal forms of germs of smooth mappings’, Russian Math. Surveys 33, no. 1 (1978), 95–155. (Uspekhi Mat. Nauk 33, no. 1 (1978))
Belitskiĭ, G.R.: ‘Normal forms relative to a filtering action of a group’, Trans. Moscow Math. Soc. 40 (1979), 3–46. (Trudy Moskov. Mat. Obshch. 40 (1979), 3–46)
Belitskiĭ, G.R.: ‘Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues’, Fund. Anal Appl. 20, no. 4 (1986), 253–259. (Funkts. Anal. i Prilozen. 20, no. 4 (1986), 1–8)
Lyapunov, A.M.: Problème général de la stabilité du mouvement, Princeton Univ. Press, 1947 (translated from the Russian)
Kunitsyn, A.L. and Markev, A.P.: ‘Stability in resonant cases’, Itogi Nauk. i Tekhn. Ser. Obsh. Mekh. 4 (1979), 58–139 (in Russian)
Bibikov, J.N.: Local theory of nonlinear analytic ordinary differential equations, Springer, 1979
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)
Bruno, A.D. [A.D. Bryuno]: ‘Normal form in perturbation theory’, in Proc. VIII Internat. Conf. Nonlinear Oscillations, Prague, 1978, Vol. 1, Academia, 1979, pp. 177–182 (in Russian)
Kostin, V.V. and Le Dinh Thuy: ‘Some tests of the convergence of a normalizing transformation’, Dapovidi Akad. Nauk URSR Ser. A, no. 11 (1975), 982–985 (in Russian)
Zehnder, E.J.: ‘C.L. Siegel’s linearization theorem in infinite dimensions’, Manuscr. Math. 23 (1978), 363–371
Nikolenko, N.V.: ‘The method of Poincaré normal forms in problems of integrability of equations of evolution type’, Russian Math. Surveys 41, no. 5 (1986), 63–114. (Uspekhi Mat Nauk 41, no. 5 (1986), 109–152)
Arnol’d, V.I.: Geometrical methods in the theory of ordinary differential equations, Springer, 1983 (translated from the Russian)
Lyapunov, A.M.: Collected works, Moscow, 1956 (in Russian)
Mitchell, B.: Theory of categories, Acad. Press, 1965, Sect. 1.14
Borel, E.: ‘Les probabilités dénombrables et leurs applications arithmétiques’, Rend Circ. Math. Palermo 27 (1909), 247–271
Borel, E.: Leçons sur la théorie des fonctions, Gauthier-Villars, 1928
Pillai, S.: ‘On normal numbers’, Proc. Indian Acad Sci. Sect. A 12 (1940), 179–184
Niven, I. and Zuckerman, H.: ‘On the definition of normal numbers’, Pacific J. Math. 1 (1951), 103–109
Champernowne, D.G.: ‘The construction of decimals normal in the scale of ten’, J. London Math. Soc. 8 (1933), 254–260
Sierpiński, W.: ‘Démonstration élémentaire d’un théorème de M. Borel sur les nombres absolument normaux et détermination effective d’un tel nombre’, Bull Soc. Math. France 45 (1917), 127–132
Lebesgue, H.: ‘Sur certaines démonstrations d’existence’, Bull. Soc. Math. France 45 (1917), 132–144
Postnikov, A.G.: ‘Arithmetic modelling of random processes’, Trudy Mat. Inst. Steklov. 57 (1960) (in Russian)
Niven, I.: Irrational numbers, Math. Assoc. Amer., 1956
Plesner, A.I.: Spectral theory of linear operators, F. Ungar, 1965 (translated from the Russian)
Rudin, W.: Functional analysis, McGraw-Hill, 1973
Conway, J.B.: Subnormal operators, Pitman, 1981
Gorenstein, D.: Finite groups, Harper & Row, 1968
Hall, M., Jr.: The theory of groups, Macmillan, 1959, Sect. 9.3
Huppert, B.: Endliche Gruppen, I, Springer, 1967, Sect. VI.1
Do Carmo, M.: Differential geometry of curves and surfaces, Prentice Hall, 1976
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French)
Nagata, M.: Local rings, Interscience, 1962
Matsumura, H.: Commutative algebra, Benjamin, 1970
Serre, J.P.: Algèbre locale. Multiplicités. Lecture notes in math, 11, Springer, 1975
Hartshorne, R.: Algebraic geometry, Springer, 1977, p. 91
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1974, Sect. II.5 (translated from the Russian)
Matsumura, H.: Commutative algebra, Benjamin, 1970
Klingenberg, W.: A course in differential geometry, Springer, 1978 (translated from the German)
Chen, B.-Y.: Geometry of submanifolds, M. Dekker, 1973
Hall, M., Jr.: The theory of groups, Macmillan, 1959, Sect. 8.4
Kurosh, A.G.: The theory of groups, 1, Chelsea, 1955, § 16 (translated from the Russian)
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian)
Hartshorne, R.: Algebraic geometry, Springer, 1977
Goldberg, S.: Unbounded linear operators, McGraw-Hill, 1966
Kato, T.: Perturbation theory for linear operators, Springer, 1980
Zabreyko, P.P. [P.P. Zabreĭko], et al.: Integral equations - a reference text, Noordhoff, 1975 (translated from the Russian)
Aleksandrov, P.S.: Einführung in die Mengenlehre und die Theorie der reelen Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian)
Zaĭtsev, V.I.: ‘On the theory of Tikhonov spaces’, Vestnik Moskov. Univ. Mat. Mekh., no. 3 (1967), 48–57 (in Russian)
Shchepin, E.V.: ‘Real functions and near-normal spaces’, Sib. Math. J. 13, no. 5 (1972), 820–830. (Sibirsk. Mat. Zh. 13, no. 5 (1972), 1182–1196)
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian)
Engelking, R.: General topology PWN, 1977
Rudin, M.E.: ‘A normal space X for which XXI is not normal’, Fund. Math. 73 (1971), 179–186
Alò, R.A. and Shapiro, H.L.: Normal topological spaces, Cambridge Univ. Press, 1974
Klingenberg, W.: Riemannian geometry, de Gruyter, 1982 (translated from the German)
Chen, B.-Y.: Geometry of submanifolds, M. Dekker, 1973
Lyapin, E.S.: Semigroups, Amer. Math. Soc., 1974 (translated from the Russian)
Hall, M., Jr.: The theory of groups, Macmillan, 1958, p. 26
Curtis, C.W. and Reiner, I.: Representation theory of finite groups and associative algebras, Interscience, 1962, p. 5
Kurosh, A.G.: The theory of groups, 1, Chelsea, 1955, Chapt. III (translated from the Russian)
Kaczmarz, S. and Steinhaus, H.: Theorie der Orthogonalreihen, Chelsea, reprint, 1951
Dunford, N. and Schwartz, J.T.: Linear operators. General theory, 1, Interscience, 1958
Kantorovich, L.V. and Akilov, G.P.: Funktionalanalysis in normierten Räume, Akad. Verlag, 1964 (translated from the Russian)
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, 1980
Kargapolov, M.I. and Merzlyakov, Yu.I.: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian)
Robinson, D.J.S.: A course in the theory of groups, Springer, 1980
Smirnov, Yu.M.: ‘On normally-imbedded sets of normal spaces’, Mat. Sb. 29 (1951), 173–176 (in Russian)
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978)
Atkinson, F.: ‘Normal solvability of equations in Banach space’, Mat. Sb. 28, no. 1 (1951), 3–14 (in Russian)
Kreĭn, S.G.: Linear differential equations in Banach space, Amer. Math. Soc., 1971 (translated from the Russian)
Gohberg, I.C. [I.Ts. Gokhberg] and Kreĭn, M.G.: ‘The basic propositions on defect numbers, root numbers and indices of linear operators’, Transi. Amer. Math. Soc. (2) 13 (1960), 185–264. (Uspekhi Mat. Nauk 12 (1957), 43–118)
Goldberg, S.: Unbounded linear operators, McGraw-Hill, 1966
Kato, T.: ‘Perturbation theory for nullity, deficiency and other quantities of linear operators’, J. d’Anal. Math. 6 (1958), 261–322
Kreĭn, S.G.: Linear equations in Banach spaces, Birkhäuser, 1982 (translated from the Russian)
Naĭmark, M.A.: Normed rings, Noordhoff, 1964 (translated from the Russian)
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian)
Kelley, J.L.: General topology, v. Nostrand, 1955, p. 145
Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires, Amer. Math. Soc., 1955
Pietsch, A.: Nuclear locally convex spaces, Springer, 1972 (translated from the German)
Gel’fand, I.M. and Vilenkin, N.Ya.: Generalized functions. Applications of harmonic analysis, 4, Acad. Press, 1964 (translated from the Russian)
Schwartz, L.: ‘Théorie des noyaux’, in Proc. Internat. Congress Mathematicians Cambridge, 1950, Vol. 1, Amer, Math. Soc., 1952, pp. 220–230
Schwartz, L.: ‘Espaces de fonctions différentielles à valeurs vectorielles’, J. d’Anal. Math. 4 (1954–1955), 88–148
Trèves, F.: Topological vectorspaces, distributions and kernels, Acad. Press, 1967
Schwartz, L.: Theorie des distributions, Hermann, 1966
Lance, E.C.: ‘Tensor products and nuclear C*-algebras’, in R.V. Kadison (ed.): Operator algebras and applications, Proc. Symp. Pure Math., Vol. 38, Amer. Math. Soc., 1982, pp. 379–399
Bratteu, O. and Robinson, D.W.: Operator algebras and quantum statistical mechanics, 1, Springer, 1979
Kadison, R.V. and Ringrose, J.R.: Fundamentals of the theory of operator algebras, 1–2, Acad. Press, 1983
Pedersen, G.K.: C*-algebras and their automorphism groups, Acad. Press, 1979, Sect. 8.15.15
Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires, Amer. Math. Soc., 1955
Pietsch, A.: Operator ideals, North-Holland, 1980
Pietsch, A.: Nuclear locally convex spaces, Springer, 1972 (translated from the German)
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)
Gel’fand, I.M. and Vilenkin, N.Ya.: Generalized functions, 4. Applications of harmonic analysis, Acad. Press, 1964 (translated from the Russian)
Maurin, K.: Methods of Hilbert spaces, PWN, 1967
Day, M.M.: Normed linear spaces, Springer, 1958
Pietsch, A.: Eigenvalues and s-numbers, Cambridge Univ. Press, 1987
Grothendieck, A.: ‘Résumé de la théorie métrique des produits tensoriels topologiques’, Bol. Soc. Mat. São Paulo 8 (1956), 1–79
Jarchow, H.: Locally convex spaces, Teubner, 1981
Neumann, J. von: Mathematische Grundlagen der Quantenmechanik, Springer, 1932
Schatten, R. and Neumann, J. von: ‘The cross-space of linear transformations II’, Ann. of Math. 47 (1946), 608–630
Ruston, A.F.: ‘On the Fredholm theory of integral equations for operators belonging to the trace class of a general Banach space’, Proc. London Math. Soc. (2) 53, no. 2 (1951), 109–124
Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires, Amer. Math. Soc., 1955
Grothendieck, A.: ‘La théorie de Fredholm’, Bull Soc. Math. France 84 (1956), 319–384
Schaefer, H.: Topological vector spaces, Springer, 1971
Pietsch, A.: Operator ideals, North-Holland, 1980
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)
Gel’fand, I.M. and Vilenkin, N.Ya.: Generalized functions, 4. Applications of harmonic analysis, Acad. Press, 1964 (translated from the Russian)
Pietsch, A.: Nuclear locally convex spaces, Springer, 1972 (translated from the German)
Enflo, P.: ‘A counterexample to the approximation problem in Banach spaces’, Acta Math. 130 (1973), 309–317
Litvinov, G.L.: ‘Approximation properties of locally convex spaces and the uniqueness for the trace of a linear operator’, Teor. Funkt., Funktsional Anal. i Prilozhen. 39 (1983), 73–87 (in Russian)
Litvinov, G.L.: ‘On the traces of linear operators in locally convex spaces’, Sel. Math. Sovietia 8, no. 3 (1989), 203–212. (Trudy Sem. Vekt. i Tenz. Anal. 19 (1979), 243–272)
Pietsch, A.: ‘Operator ideals with a trace’, Math. Nachr. 100 (1981), 61–91
Lidskiĭ, V.B.: ‘Nonselfadjoint operators having a trace’, Transl. Amer. Math. Soc. (2) 47 (1965), 43–46. (Dokl. Akad. Nauk SSSR 125, no. 3 (1959), 485–487)
Markus, A.S. and Matsaev, V.I.: ‘Analogs of Weyl inequalities and the trace theorem in Banach space’, Math. USSR Sb. 15, no. 2 (1971), 299–312. (Mat. Sb. 86, no. 2 (1971), 299–313)
König, H.: ‘s-numbers, eigenvalues and the trace theorem in Banach spaces’, Studia Math. 67, no. 2 (1980), 157–172
Grothendieck, A.: ‘Résumé de la théorie métriques des produits tensoriels topologiques’, Bol. Soc. Mat. São Paulo 8 (1956), 1–79
Jarchow, H.: Locally convex spaces, Teubner, 1981
Simon, B.: Trace ideals and their applications, Cambridge Univ. Press, 1979
Pietsch, A.: Eigenvalues and s-numbers, Cambridge Univ. Press, 1987
Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires, Amer. Math. Soc., 1955
Gel’fand, I.M. and Vilenkin, N.Ya.: Generalized functions, 4. Applications of harmonic analysis, Acad. Press, 1964 (translated from the Russian)
Minlos, R.A.: ‘Generalized random processes and their extension in measure’, Trudy Moskov. Mat. Obshch. 8 (1959), 497–518 (in Russian)
Mityagin, B.S.: ‘Approximate dimension and bases in nuclear spaces’, Russian Math. Surveys 16, no. 4, 59–127. (Uspekhi Mat. Nauk 16, no. 4 (1961), 63–132)
Pietsch, A.: Nuclear locally convex spaces, Springer, 1972 (translated from the German)
Dubinsky, E: Structure of nuclear Fréchet spaces, Springer, 1979
Zobin, N.M. and Mityagin, B.S.: ‘Examples of nuclear linear metric spaces without a basis’, Funct. Anal. Appl. 8, no. 4 (1974), 304–313. (Funktsional. Anal. i Prilozhen. 8, no. 4 (1974), 35–47)
Atzmon, A.: ‘An operator without invariant subspaces on a nuclear Fréchet space’, Ann. of Math. 117, no. 3 (1983), 669–694
Schaefer, H.H.: Topological vector spaces, Springer, 1971
Komura, T. and Komura, Y.: ‘Ueber die Einbettung der nuklearen Räume in (s)A’ Math. Ann. 162 (1965–1966), 284–288
Dineen, S.: Complex analysis in locally convex spaces, North-Holland, 1981
John, K. and Zizler, V.: ‘On a tensor product characterization of nuclearity’, Math. Ann. 244, no. 1 (1979), 83–87
Pisier, G.: ‘Contre-example à une conjecture de Grothendieck’, C.R. Acad. Sci. Paris 293 (1981), 681–683. English abstract
Dragilev, M.M.: Bases in Köthe spaces, Rostov-on-Don, 1983 (in Russian)
Grothendieck, A.: ‘Résumé de la théorie métrique des produits tensoriels topologiques’, Bol. Soc. Mat. Sao-Paulo 8 (1956), 1–79
Grothendieck, A.: Topological vector spaces, Gordon & Breach, 1973 (translated from the French)
Jarchow, H.: Locally convex spaces, Teubner, 1981
Pisier, G.: Factorization of linear operators and geometry of Banach spaces, Amer. Math. Soc., 1986
Pisier, G.: ‘Counterexamples to a conjecture of Grothendieck’, Acta. Math. 151 (1983), 181–208
Colombeau, J.F.: Differential calculus and holomorphy, North-Holland, 1982
Köthe, G.: Topological vector spaces, I, Springer, 1969
Linnik, Yu.V.: Statistical problems with nuisance parameters, Moscow, 1966 (in Russian)
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1978
Lehmann, E.L.: Theory of point estimation, Wiley, 1983
Berezkina, E.I.: Mathematics of Ancient China, Moscow, 1980 (in Russian)
Bourbaki, N.: Eléments d’histoire des mathématiques, Hermann, 1960
Vaĭman, A.A.: Sumero-Babylonian mathematics, Moscow, 1961 (in Russian)
Waerden, B.L. van der: Ontwakende wetenschap, Noordhoff, 1957
Wieleitner, G.: Geschichte der Mathematik, 2, de Gruyter, 1923
Volodarskiĭ, A.I.: An outline of the history of Medieval Indian mathematics, Moscow, 1977 (in Russian)
Vygodskiĭ, M.Ya.: Arithmetic and algebra in the Ancient world, Moscow, 1967 (in Russian)
Depman, I.Ya.: The history of arithmetic, Moscow, 1959 (in Russian)
Kol’man, E.: History of mathematics in Antiquity, Moscow, 1961 (in Russian)
Cajori, F.: A history of elementary mathematics, Macmillan, 1896
Nechaev, V.I.: Number systems, Moscow, 1975 (in Russian)
Rybnikov, K.A.: History of mathematics, Moscow, 1974 (in Russian)
Struik, D.J.: A concise history of mathematics, 1–2, Dover, reprint, 1948 (translated from the Dutch)
Feferman, S.: The number system, Addison-Wesley, 1964
Zeuthen, H.G.: Geschichte der Mathematik in XVI und XVII Jahrhundert, Teubner, 1903
Yushkevich, A.P.: Geschichte der Mathematik im Mittelalter, Teubner, 1964 (translated from the Russian)
History of mathematics, 1–3, Moscow, 1970–1972 (in Russian)
Mathematics of the 19-th century. Mathematical logic. Algebra. Number theory. Probability theory, Moscow, 1978 (in Russian)
Landau, E.: Grundlagen der Analysis, Akad. Verlagsgesellschaft, 1930
Gericke, H.: Geschichte des Zahlbegriffs, B.I. Mannheim, 1970
Scriba, C.J.: The concept of number, a chapter in the history of mathematics, B.I. Mannheim, 1968
Weiss, E.: Algebraic number theory, McGraw-Hill, 1963
Vinogradov, I.M.: Elements of number theory, Dover, reprint, 1954 (translated from the Russian)
Prachar, K.: Primzahlverteilung, Springer, 1957
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979, Chapt. XVI
Vinogradov, I.M.: Elements of number theory, Dover, 1954 (translated from the Russian)
Vinogradov, I.M.: The method of trigonometric sums in the theory of numbers, Interscience, 1954 (translated from the Russian)
Vinogradov, I.M.: Particular variants of the method of trigonometric sums, Moscow, 1976 (in Russian)
Karatsuba, A.A.: Fundamentals of analytic number theory, Moscow, 1983 (in Russian)
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian)
Davenport, H.: Multiplicative number theory, Springer, 1980
Chandrasekharan, K.: Introduction to analytic number theory, Springer, 1968
Hasse, H.: Zahlentheorie, Akademie-Verlag, 1963
Dirichlet, P.G.L.: Vorlesungen über Zahlentheorie, Vieweg, 1894
Titchmarsh, E.C. : The theory of the Riemann zetafunction, Clarendon, 1951
Venkov, B.A.: Elementary number theory, Wolters-Noordhoff, 1970 (translated from the Russian)
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979
Leveque, W.J.: Topics in number theory, 1, Addison-Wesley, 1965
Shanks, D.: Solved and unsolved problems in number theory, Chelsea, reprint, 1978
Weil, A.: Number theory, an approach through history, Birkhäuser, 1984
Kac, M.: Statistical independence in probability, analysis and number theory, Math. Assoc. Amer., 1963
Kubilius, I.P. [I.P. Kubilyus]: Probabilistic methods in the theory of numbers, Amer. Math. Soc., 1978 (translated from the Russian)
Kubilyus, I.P.: Current problems of analytic number theory, Minsk, 1974 (in Russian)
Linnik, Yu.V.: The dispersion method in binary additive problems, Amer. Math. Soc., 1963 (translated from the Russian)
Linnik, Yu.V.: Ergodic properties of algebraic fields, Springer, 1968 (translated from the Russian)
Postnikov, A.G.: Ergodic problems in the theory of congruences and of Diophantine approximations, Amer. Math. Soc., 1967 (translated from the Russian)
Elliot, P.D.T.A.: Probabilistic number theory, 1–2, Springer, 1979–1980
Najkiewicz, W.: Number theory, World Scientific, 1983, pp. 251–259 (translated from the Polish)
Bashmakova, I.G. and Yushkevich, A.P.: ‘The origin of number systems’, in Encyclopaedia of elementary mathematics, Moscow-Leningrad, 1951, pp. 11–74 (in Russian)
Waerden, B.L. van der: Ontwakende wetenschap, Noordhoff, 1957
Yushkevich, A.P.: Geschichte der Mathematik im Mittelalter, Teubner, 1964 (translated from the Russian)
Vaĭman, A.A.: Sumero-Babylonian mathematics, Moscow, 1961 (in Russian)
The history of mathematics, 1, Moscow, 1970 (in Russian)
Burton, D.M.: The history of mathematics, Allyn & Bacon, 1985
Cajori, F.: A history of mathematical notations, 1–2, Open Court, 1952–1974
Dantzig, T.: Number, the language of science, Allyn & Unwin, 1930
Menninger, K.: Number words and number symbols, M.I.T., 1969 (translated from the German)
Cuitel, G.: Histoire comparée des numerations écrits, Paris, 1975
Condon, E.U.: ‘Heat transfer’, in E.U. Condon and H. Odishaw (eds.): Handbook of Physics, McGraw-Hill, 1967, § 5.5.7–5.5.8
Eckert, E.R.G.: Introduction to the transfer of heat and mass, McGraw-Hill, 1950
Nyquist, H.: ‘Regeneration theory’, Bell System Techn. J. 11, no. 1 (1932), 126–147
Bulgakov, B.V.: Oscillations, Moscow, 1954 (in Russian)
Lavrent’ev, M.A. and Shabat, B.V.: Methoden der komplexen Funktionentheorie, Deutsch. Verlag Wissenschaft., 1967 (translated from the Russian)
Roĭtenberg, Ya.N.: Automatic control, Moscow, 1978 (in Russian)
Gnoenskiĭ, L.S., Kaaenskiĭ, G.A. and El’sgol’ts, L.E.: Mathematical foundations of the theory of control systems, Moscow, 1969 (in Russian)
Desoer, C.A. and Vidyasagar, M.: Feedback systems: input-output properties, Acad. Press, 1975
Desoer, C.A.: ‘A general formulation of the Nyquist stability criterion’, IEEE Trans. Circuit Theory CT-12 (1965), 230–234
Desoer, C.A. and Wang, Y.T.: ‘On the generalized Nyquist stability criterion’, IEEE Trans. Autom. Control AC-25 (1980), 187–196
Callier, F.M. and Desoer, C.A.: ‘On simplifying a graphical stability criterion for linear distributed feedback systems’, IEEE Trans. Automat. Contr. AC-21 (1976), 128–129
Valenca, J.M.E. and Harris, C.J.: ‘Nyquist criterion for input-output stability of multivariable systems’, Int. J. Control 31 (1980), 917–935
Faurre, P. and Depeyrot, M.: Elements of system theory, North-Holland, 1977
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Hazewinkel, M. (1990). N. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5991-0_3
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