Abstract
∊-ENTROPY of a set in a metric space — The logarithm to the base 2 of the smallest number of points in an ∊-net for this set.
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References
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VITUSHKIN, A.G.: Theory of transmission and processing of information, Pergamon, 1961 (translated from the Russian).
KOLMOGOROV, A.N. and TIKHOMIROV, V.M.: ‘∈-entropy and ∈-capacity of sets in functional spaces’, Amer. Math Soc. Transl. Ser. 2 17 (1961), 277–364. (Uspekhi Mat. Nauk 14, no. 2 (1959), 3–86)
KOLMOGOROV, A.N. and TIKHOMIROV, V.M.: ‘∈-entropy and ∈-capacity of sets in functional spaces’, Amer. Math Soc. Transl. Ser. 2 17 (1961), 277–364. (Uspekhi Mat. Nauk 14, no. 2 (1959), 3–86)
LORENTZ, G.G.: ‘The 13-th problem of Hilbert’, in F.E. Browder (ed.): Mathematical developments arising from Hilbert’s problems, Amer. Math. Soc., 1976, pp. 419–430.
DUDLEY, R.M.: ‘Metric entropy and the central limit theorem in C(S)’ Ann. Inst Fourier (Grenoble) 24 (1974), 49–60.
KOLMOGOROV, A.N.: ‘Theory of transmission of information’, Amer. Math. Soc. Transl. Ser. 2 33 (1963), 291–321. (Acad. R. P. Romine An. Romino-Sov. 13, no. 1 (1959), 5–33 )
KOLMOGOROV, A.N.: ‘Theory of transmission of information’, Amer. Math. Soc. Transl. Ser. 2 33 (1963), 291–321. (Acad. R. P. Romine An. Romino-Sov. 13, no. 1 (1959), 5–33 )
BIRIA, J., ZAKAI, M. and ZIV, J.: ‘On the c-entropy and the rate distortion function of certain non-Gaussian processes’, IEEE Trans. Inform. Theory 20 (1974), 517–524.
POSNER, E.C., RODENICH, E.R. and RUMSEY, H.: ‘∈-Entropy of stochastic processes’, Ann. Math Stat 38 (1967), 1000–1020.
POSNER, E.C. and RODENICH, E.R.: ‘Epsilon entropy and data compression’, Ann. Math. Stat 42 (1971), 2079–2125.
KATéTOV, M.: ‘On extended Shannon entropies and the epsilon entropy’, Comm. Math. Univ. Carolinae 27 (1986), 519–534.
AKASHI, S.: ‘On operator theoretical characterization of epsilon-entropy in Gaussian processes’, Kodai Math. J. 9 (1986), 58–67.
EBERLEĭN, W.A.: ‘Weak compactness in Banach spaces’, Proc. Nat Acad. Sci. USA 33 (1947), 51–53.
GRUENHAGE, G.: ‘Games, covering properties and Eberleĭn compacts’, Topology Appl. 23 (1986), 291–297.
LINDENSTRAUSS, J.: ‘Weakly compact sets — their topological properties and the Banach spaces they generate’, in Symp. infinite-dimensional topology, Ann. Math. Studies, Vol. 69, Princeton Univ. Press, 1972, pp. 235–276.
NEGREPONTIS, S.: ‘Banach spaces and topology’, in K. Kunen and J.E. Vaughan (eds.): Handbook of set-theoretic topology, North-Holland, 1984, pp. 1054–1142.
BERGER, M.: Geometry, Springer, 1987.
COXETER, H.S.M.: Introduction to geometry, Wiley, 1963.
KANTOROVICH, L.V.: Mathematical methods of production organization and planning, Leningrad, 1939 (in Russian).
KANTOROVICH, L.V.: Economic computation of the optimal use of resources, Moscow, 1959 (in Russian).
TINTNER, G.: Econometrics, Wiley, 1952
MIKHALEVSKIĭ, B.N.: A system of models of time-averaged state-economy planning, Moscow, 1972 (in Russian).
Econometric models and predictions, Novosibirsk, 1975 (in Russian).
KOLEK, Yu. and SHUYAN, I.: Econometric models in the socialist countries, Moscow, 1978 (in Russian and Slovak).
FISHER, F.: The identification problem in econometrics, McGraw-Hill, 1966.
PRIGOROV, G.G. and FEDOROVSKIĭ, Yu.P.: Problems of structural estimation and econometrics, Moscow, 1979 (in Russian).
JOHNSTON, J.: Econometric methods, McGraw-Hill, 1963.
ZELLNER, A.: An introduction to Bayesian inference in econometrics, Wiley, 1971.
POIRIER, D.J.: The econometrics of structural changes, North- Holland, 1976.
VINN, R. and HOLDEN, K.: Introduction to applied econometric analysis, Moscow, 1981 (in Russian; translated from the English).
DHRYMES, P.: Distributed lags. Problems of estimation and formulation, Oliver & Boyd, 1947.
Interdisciplinary econometric models, Novosibirsk, 1983 (in Russian).
MALINVAUD, A.: Statistical methods of econometrics, North-Holland, 1980 (translated from the French).
LEEFLANG, P.H.S.: Mathematical models in marketing, S. Kroese, 1974.
THEIL, H.: Principles of econometrics, North-Holland, 1971.
KLEIN, L.R.: An introduction to econometrics, Prentice-Hall, 1962.
CHRIST, C.F.: Econometric models and methods, Wiley, 1966.
DHRYMES, Ph.J.: Econometrics, Harper & Row, 1970.
GOLDBERGER, A.S.: Econometric theory, Wiley, 1964.
DHRYMES, Ph.J.: Introductory econometrics, Springer, 1978.
WALKERS, A.A.: An introduction to econometrics, Macmillan, 1968.
INTRILLIGATOR, M.D.: Econometric models, techniques, and applications, North-Holland, 1978.
RIETER, S. (ed.): Studies in mathematical economics, Math. Assoc. Amer., 1986.
SATO, R.: Theory of technical change and economic invariance. Application of Lie groups, Acad. Press, 1981.
NEWMAN, P. (ed.): Readings in mathematical economics, l–ll, Johns Hopkins, 1968.
ARNOL’D, V.I., GUSEIN-ZADE, S.M. [S.M. KHUSEĭN-ZADE] and VARCHENKO, A.N.: Singularities of differentiable maps, 1, Birkhäuser, 1985 (translated from the Russian).
EDGEWORTH, F.Y.: ‘The law of error I’, Proc. Cambridge Philos. Soc. 20 (1905), 36–65.
CRAM£R, H.: Mathematical methods of statistics, Princeton
PETROV, V.V.: Sums of independent random variables, Springer, 1975.
FELLER, W.: An introduction to probability theory and its applications, 2, Wiley, 1971.
BHATTACHARYA, R.N. and RAO, R.R.: Normal approximation and asymptotic expansions, Wiley, 1976.
BICKEL, P.J., GÖTZE, F. and ZWET, W.R. van: ‘The Edge-worth expansion for Ostatistics of degree two’, Ann. Statist 14 (1986), 1463–1484.
KENDALL, M.C. and STEWART, A.: The advanced theory of statistics. Inference and relationship, 2, Griffin, 1973.
BAHADUR, R.: ‘Rates of convergence of estimates and test statistics’, Ann. Math. Stat. 38, no. 2 (1967), 303–324.
HODGES, J. and LEHMANN, E.: ‘The efficiency of some non- parametric competitors of the t-test’, Ann. Math. Stat. 27, no. 2 (1956), 324–335.
RAO, C.R.: Linear statistical inference and its applications, Wiley, 1965.
KALLENBERG, W.: ‘Chernoff efficiency and deficiency’, Ann. Statist. 10, no. 2 (1982), 583–594.
BERK, R. and BROWN, L.: ‘Sequential Bahadur efficiency’, Ann. Statist. 6, no. 3 (1978), 567–581.
BERK, R.: ‘Asymptotic efficiencies of sequential tests’, Ann. Statist 4, no. 5 (1976), 891–911.
WIELAND, H.: ‘A condition under which the Pitman and Bahadur approaches to efficiency coincide’, Ann. Statist. 4, no. 5 (1976), 1003–1011.
GROENEBOOM, P. and OOSTERHOFF, J.: ‘Bahadur efficiency and small-sample efficiency’, Internal. Stat. Rev. 49, no. 2 (1981),
GROENEBOOM, P. and OOSTERHOFF, J.: ‘Bahadur efficiencies and probabilities of large deviations’, Stat Neerlandica 31 (1977), 1–24.
CRAMéR, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
IBRAGIMOV, I.A. and HAS’MINSKII, R.Z. [R.Z. KHAS’MINSKIĭ]: Statistical estimation: asymptotic theory, Springer, 1981 (translated from the Russian).
RAO, C.R.: Linear statistical inference and its applications, 1965.
EGOROV, D.F.: Works on differential geometry, Moscow, 1970 (in Russian).
EGOROV, D.F.: ‘Sur les suites de fonctions mesurables’, C.R. Acad Sci. Paris 152 (1911), 244–246.
KOLMOGOROV, A.N. and FOMIN, S.V.: Elements of the theory of functions and functional analysis, Graylock, 1957–1961 (translated from the Russian).
BOURBAKI, N.: Elements of mathematics. Integration, Addison- Wesley, 1975, Chapt.6; 7; 8 (translated from the French).
HALMOS, P.R.: Measure theory, v. Nostrand, 1950.
DELLACHERIE, C. and MEYER, P.A.: Probabilities and potential,C, North-Holland, 1988 (translatedfrom the French).
REVUZ, D.: Markov chains, North-Holland, 1975.
BABAKOV, I.M.: Oscillation theory, Moscow, 1965 (in Russian).
BUTENIN, N.V.: The theory of oscillations, Moscow, 1963 (in Russian).
STRELKOV, S.P.: Introductions to oscillation theory, Moscow, 1964 (in Russian).
ANDRONOV, A.A., VITT, A.A. and KHAĭKIN, S.E.: Theory of oscillations, Moscow, 1959 (in Russian).
GOULD, S.: Variational methods for eigenvalue problems, Univ. Toronto Press, 1957.
COLLATZ, L.: Eigenwertaufgaben mit technischen Anwendungen, Geest & Portig, 1949.
FADDEEV, D.K. and FADDEEVA, V.N.: Computational methods of linear algebra, Freeman, 1963 (translated from the Russian).
VOEVODIN, V.V.: Numerical methods of algebra, Moscow, 1966 (in Russian).
WILKINSON, J.H.: The algebraic eigenvalue problem, Oxford Univ. Press, 1969.
PARLETT, B.N.: The symmetric eigenvalue problem, Prentice Hall, 1980.
SAUL’EV, V.K.: ‘On estimating the error in finding eigenfunctions by the finite difference method’, Vychisl. Mat. 1 (1957), 87–115 (in Russian).
TIKHONOV, A.N. and SAMARSKIĭ, A.A.: ‘The Sturm — Liouville difference problem’, USSR Comput. Math. Math. Phys. 1, no. 4 (1961), 939–961.
Zh. Vychisl. Mat. i Mat. Fiz.1, no. 5 (1961), 784–805)
SAMARSKIĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
HAO, Shou: ‘The Sturm-Liouville difference problem for a fourth order equation with discontinuous coefficients’, USSR Comput. Math. Math. Phys. 3, no. 6 (1963), 1383–1406.
Zh. Vychisl. Mat. i Mat. Fiz.3, no. 6 (1963), 1014–1031)
Zh. Vychisl. Mat. Mat. Fiz.9, no. 2 (1969), 315–336)
PRIKAZCHIKOV, V.G.: ‘A difference eigenvalue problem for a second-order operator with mixed boundary conditions’, USSR Comput. Math. Math. Phys. 22, no. 3 (1982), 165–172.
Zh. Vychisl. Mat. Mat. Fiz.22, no. 3 (1982), 655–662)
PRIKAZCHIKOV, V.G. and Khimich, A.N.: ‘The eigenvalue difference problem for the fourth order elliptic operator with mixed boundary conditions’, USSR. Comput. Math. Math. Phys. 25, no. 5 (1985), 137–144.
Zh. Vychisl. Mat. Mat. Fiz. 25 (1985))
BUBLIK, B.N.: The numerical solution of problems in the dynamics of plates and hulls, Kiev, 1969 (in Russian).
STRANG, G. and FIX, G.J.: An analysis of the finite element method, Prentice Hall, 1973.
CIARLET, Ph.: The finite element method for elliptic problems, North-Holland, 1978.
SAMOKISH, B.A.: ‘The method of steepest descent in the eigen elements problem for semi-bounded operators’, Izv. Vyssh. Uchebn. Zaved Mat. 5, no. 6 (1958), 105–114 (in Russian).
D’YAKONOV, E.G. and OREKHOV, M.Yu.: ‘Minimization of the computational labor in determining the first eigen values of differential operators’, Math. Notes 27 (1980), 382–391.
Mat. Zametki 27, no. 5 (1980), 795–812)
PRIKAZCHIKOV, V.G.: DifferentsiaVnye Uravn. 22 (1986), 1268–1271.
HACKBUSCH, W.: ‘On the computation of approximate eigen values and eigen functions of elliptic operators of means of a multi-grid method’, SIAM. J. Num. Anal 16, no. 2 (1979). 201–215.
BAILEY, P.B., Gordon, M.K. and Shampine, L.F.: ‘Automatic solution of the Strum — Liouville problem’, ACM Trans. Math. Software 4 (1978), 193–208.
KREISS, H.O.: ‘Difference approximation for boundary and eigen values problems for ordinary differential equations’, Math. Comp. 26 (1972), 605 - 624.
BRAMLEY, J.S. and DENNIS, S.C.R.: ‘The calculation of eigenvalues for the stationary perturbation of Poiseuille flow using initial value methods’, Math. Anal. Apll. 101 (1984), 30–38.
KANTOROVICH, L.V. and KRYLOV, V.I.: Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Russian).
KRASNOSEL’SKIĭ, M.A., et al.: Approximate solution of operator equations, Wolters-Noordhoff, 1972.
BEREZIN, I.S. and ZHIDKOV, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian).
KRYLOV, V.I., BOBKOV, V.V. and Monastyrni, P.I.: Numerical methods, 2, Moscow, 1977 (in Russian).
MYSOVSKIKH, LP.: ‘On interpolation by polynomials in two variables’, Metod Vychisl. 8 (1973), 3–114 (in Russian).
MARCHUK, G.I. and LEBEDEV, V.I.: Numerical methods in the theory of neutron transport, Harwood, 1986 (translated from the Russian).
VLADIMIROV, V.S. and SOBOL, I.M.: ‘Computation of the least eigen value of the Peierls equation by the Monte Carlo method’, Vychisl Mat. 3 (1958), 130–137 (in Russian).
ANSELONE, P.M.: Collectively compact operator approximation theory, Prentice Hall, 1971.
BAKER, C.T.H.: The numerical treatment of integral equations, Clarendon Press, 1977.
CHATELIN, F.: Spectral approximation of linear operators, Acad. Press, 1983.
YOSIDA, K.: Functional analysis, Springer, 1980, Chapt. 8, § 1.
LUSTERNIK, L.A. [L.A. LYUSTERNIK] and SOBOLEV, V.I.: Elements of functional analysis, Hindustan Publ. Comp., 1974 (translated from the Russian).
KANTOROVICH, L.V. and AKILOV, G.P.: Functional analysis, Pergamon, 1982, Chapt. 13, § 3 (translated from the Rusian.
DUNFORD, N. and SCHWARTZ, J.T.: Linear operators. Spectraltheory, 2, Interscience, 1963, Chapt. 10, § 3.
TAYLOR, A.E. and LAY, D.C.: Introduction to functionalanalysis, Wiley, 1980, Chapt. 5.
GELFAND, I.M. and VILENKIN, N.Ya.: Generalized functions, 4, Acad. Press, 1964, Chapt. 1, § 4 (translated from the Russian).
BEREZANSKIĭ, JU.M.: Expansion in eigen functions of self adjoint operators, Amer. Math. Soc., 1968, Chapt. 5, § 2 (translated from the Russian).
LANG, S.: Linear algebra, Addison-Wesley, 1973.
BABICH, V.M. and BULDYREV, V.S.: Asymptotic methods on problems of diffraction of short waves, Moscows, 1972 (in Russian).
WHITHAM, G.B.: Linear and nonlinear waves, Wiley, 1974.
GARABEDIAN, P.R.: Partial differential equations, Wiley, 1964.
TAYLOR, M.: Pseudodifferential operators, Princeton Univ. Press, 1981.
KLINE, M. and Kay, I.W.: Electromagnetic theory and geometrical optics, Interscience, 1965.
FELSEN, L.B. and Marcuvitz, N.: Radiation and scattering of waves, Prentice Hall, 1973, Sect. 1. 7.
EILENBERG, S. and MACLANE, S.: ‘Relations between homology and homotopy groups of spaces5, Ann. of Math. 46 (1945), 480–509.
EILENBERG, S. and MacLane, S.: ‘Relations between homology and homotopy groups of spaces. IF, Ann. of Math. 51 (1950), 514–533.
MOSHER, R.E. and TANGORA, M.C.: Cohomology operations and applications in homotopy theory, Harper & Row, 1968.
SPANIER, E.H.: Algebraic topology, McGraw-Hill, 1966.
LANDAU, L.D. and LIFSHITZ, E.M.: The classical theory of fields, Addison-Wesley, 1962 (translated from the Russian).
WEINBERG, S.: Gravitation and cosmology, Wiley, 1972, Chapt. 7.
WALD, R.M.: General relativity, Univ. Chicago Press, 1984, Chapt. 4.
EINSTEIN, A. and SMOLUCHOWSKI, M. von: Brownian motion, 1936 (in Russian; translated from the German).
CHANDRASEKHAR, S.: ‘Stochastic problems in physics and astronomy’, Rev. Modern Physics 15 (1943), 1 - 89.
KAC, M.: ‘Probability and related topics in physical sciences’, in Proc. summer sem. Boulder; Col., 1957, Vol. 1, Interscience, 1959, Chapt. 4.
LÉVY, P.: Processus stochastiques et movement brownien, Gauthier-Villars, 1965.
WAX, N. (ed.): Selected papers on noise and stochastic processes, Dover reprint, 1954.
DYNKIN, E.B.: Markov processes, 1, Springer, 1965.
FELLER, W.: An introduction to probability theory and its applications, 1, Wiley, 1966.
GIHMAN, I.I. [I.I. Gikhman] and Skorohod, A.V.: The theory of stochastic processes, II, Springer, 1975 (translated from the Russian).
LOVE, A.E.H.: A treatise on the mathematical theory of elasticity, Dover, reprint, 1944.
LEIBENZON, L.S.: A course on the theory of elasticity, Moscow-Leningrad, 1947 (in Russian).
MUSKHELISHVILI, N.I.: Some basic problems of the mathematical theory of elasticity, Noordhoff, 1953 (translated from the Russian).
Three-dimensional problems in the mathematical theory of elasticity, Tblisi, 1968 (in Russian).
LUR’E, A.I.: The theory of elasticity, Moscow, 1970 (in Russian).
STRUTT, J.W. [Lord Rayleigh]: The theory of sound, Dover, reprint, 1945.
The theory of temperature displacement, Moscow, 1964 (in Russian; translated from the English).
SNEDDON, I.N. and BERRY, D.S.: Classical theory of elasticity, Handbuch der Physik, 6, Springer, 1958.
TIMOSHENKO, S.P. and GOODIER, J.N.: Theory of elasticity, McGraw-Hill, 1970.
SZABO, I.: Höhere Technische Mechanik, Springer, 1964.
FUNG, Y.C.: Foundations of solid mechanics, Prentice-Hall, 1965.
PEARSON, C.E.: Theoretical elasticity, Harvard Univ. Press, 1959.
SOKOLNIKOFF, V.V.: Mathematical theory of elasticity, McGraw-Hill, 1956.
SOLOMON, L.: Elasticité linéaire, Masson, 1968.
GREEN, A.E. and Zerna, W.: Theoretical elasticity, Clarendon Press, 1968.
KOLOSOV, G.V.: An application of the theory of functions of a complex variable to a planar problem in the mathematical theory of elasticity, Yur’ev, 1909 (in Russian).
KOLOSOV, G.V.: The use of complex diagrams and the theory of functions of a complex variable in the theory of elasticity, Leningrad-Moscow, 1935 (in Russian).
MUSKHELISHVILI, N.I.: Some basic problems of the mathematical theory of elasticity, Noordhoff, 1975 (translated from the Russian).
MUSKHELISHVILI, N.I.: Singular integral equations, Wolters-Noordhoff, 1972 (translated from the Russian).
VEKUA, A.N. and MUSKHELISHVILI, N.I.: ‘Methods of the theory of analytic functions in elasticity theory’, in Proc. All-Union congress on theoretical and applied mechanics (1960% Moscow-Leningrad, 1962 (in Russian).
V,EKUA I.N.: New methods for solving elliptic equations, North- Holland, 1967 (translated from the Russian).
SAVIN, G.N.: Spannungserhöhung am Rände von Lochern, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
GALIN, L.A.: Contact problems in the theory of elasticity, Moscow, 1953 (in Russian).
SHTAERMAN, I.Ya.: A contact problem in the theory of elasticity, Moscow-Leningrad, 1949 (in Russian).
KALANDIYA, A.I.: Mathematical methods of two-dimensional elasticity, Mir, 1975 (translated from the Russian).
SOKOLNIKOFF, I.S. [I.S. Sokolnikov]: Mathematical theory of elasticity, McGraw-Hill, 1946 (translated from the Russian).
Three-dimensional problems in the mathematical theory of elasticity, Tbilisi, 1968 (in Russian).
ENGLAND, A.H.: Complex variable methods in elasticity, Wiley (Interscience), 1971.
MILNE-THOMSON, J.M.: Plane elastic systems, Springer, 1960.
MILNE-THOMSON, J.M.: Antiplane elastic systems, Springer, 1962.
JACOBSON, N.: Lectures in abstract algebra, II. Linear algebra, v. Nostrand, 1953.
JACOBSON, N.: Basic algebra, I, Freeman, 1974.
KHINCHIN, A.Ya.: Mathematical Methods in the theory of queueing, Griffin, 1960 (translated from the Russian).
VENKOV, B.A.: Elementary number theory, Wolters-Noordhoff, 1970 (translated from the Russian).
VINOGRADOV, I.M.: Basic number theory, Moscow, 1981 (in Russian).
GEL’FOND, A.O. and Linnik, Yu.V.: Elementary methods in the analytic theory of numbers, M.I.T., 1966 (translated from the Russian).
KHINCHIN, A.Ya.: Continued fractions, Moscow, 1978 (in Russian).
GAUSS, C.F.: Disquitiones arithmeticae, Teubner, 1801.
DAVENPORT, H.: The higher arithmetic, Hutchinson, 1952.
ANDREWS, G.: Theory of partitions, Addison-Wesley, 1976.
History of mathematics, 1–3, Moscow, 1970–1972 (in Russian).
WIELEITNER, H.: Geschichte der Mathematik, De Gruyter, 1923.
DICKSON, L.E.: History of the theory of numbers, 1–3, Chelsea, reprint, 1971.
HARDY, G.H. and WRIGHT, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
SIERPIŃSKI, W.: Elementary theory of numbers, PWN, 1964 (translated from the Polish).
IRELAND, K. and ROSEN, M.: A classical introduction to modern number theory, Springer, 1982.
GAUSS, C.F.: Disquisitiones arithmeticae, Yale Univ. Press, 1966 (translated from the Latin).
SHANKS, D.: Solved and unsolved problems in number theory, Chelsea, reprint, 1978.
WEIL, A.: Number theory, Birkhäuser, 1984.
ERSHOV, Yu.L., LAVROV, I.A., Taĭmanov, A.D. and Taĭtslin, M.A.: ‘Elementary theories’, Uspekhi Mat Nauk 20, no. 4 (1965), 37–108 (in Russian).
ERSHOV, Yu.L.: Decision problems and constructivizable models, Moscow, 1980 (in Russian).
CHANG, C.C. and Keisler, H.J.: Model theory, North-Holland, 1973.
SMULLYAN, R.M.: Theory of formal systems, Princeton Univ. Press, 1961, Chapt. III.
HEATH, Sir Th.L.: The elements of Euclid, Dent, 1933.
HEATH, Th.L.: The thirteen books of Euclid’s elements, Cambridge Univ. Press, 1926. Dover, reprint, 1956.
GREENBERG, M.: Euclidean and non-Euclidean geometry, Freeman, 1974.
CHOQUET, G.: Geometry in a modern setting, Kershaw, 1969.
BONOLA, R.: Non-Euclidean geometry, Dover, reprint, 1955 (translated from the Italian).
HODGE, W.V.D. and Pedoe, D.: Methods of algebraic geometry, 1, Cambridge Univ. Press, 1947.
WAERDEN, B.L. van der: Algebra, 1–2, Springer, 1967–1971 (translated from the German).
MUMFORD, D.: Algebraic geometry, 1. Complex projective varieties, Springer, 1976.
BERGER, M.: Geometry, II, Springer, 1987.
COOLIDGE, J.: A history of the conic sections and quadric surfaces, Dover, reprint, 1968.
SCHOUTEN, J.A. and Struik, D.J.: Einführung in die neueren Methoden der Differentialgeometrie, 2, Noordhoff, 1935.
AMINOV, Yu.A.: Torsion of two-dimensional surfaces in Euclidean spaces’, Ukrain, Geom Sb 17 (1975), 3–14 (in Russian).
AMINOV, Yu.A.: ‘An analogue of Ricci’s condition for a minimal variety in a Riemannian space’, Ukrain. Geom Sb. 17 (1975), 15–22; 144 (in Russian).
CARMO, M. do: Differential geometry of curves and surfaces, Prentice Hall, 1976.
O’NEILL, B.: Elementary differential geometry, Acad. Press, 1966.
KOBAYASHI, S. and NOMIZU, K.: Foundations of differential geometry, Wiley, 1969, Chapt. 7.
SPIVAK, M.: A comprehensive introduction to differential geometry, 3, Publish or Perish, 1979.
BERGER, M.. Geometry, II, Springer, 1987.
COOLIDGE, J.: A history of the conic sections and quadric surfaces, Dover, reprint, 1968.
PETTY, C.M.: ‘Ellipsoids’, in P.M. Gruber and J.M. Wills (eds.): Convexity and its applications, Birkhäuser, 1983, pp. 264–276.
DARBOUX, G.: Leçons sur la theorie génerate des surfaces et ses applications g£ometriques du calcul infinitesimal, 1, Gauthier-Villars, 1887.
TICHONOFF, A.N. [A.N. TKHONOV] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
MORSE, P.M. and FESHBACH, H.: Methods of theoretical physics, 1–2, McGraw-Hill, 1953.
DARBOUX, G.: Leçons sur la theorie génerate des surfaces et ses applications géometriques du calcul infinitesimal, 1, Gauthier-Villars, 1887.
CASSELS, J.W.S.: ‘Diophantine equations with special reference to elliptic curves’, London Math. Soc 41 (1966), 193 - 291.
HURWITZ, A. and COURANT, R.: Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen, Springer, 1968.
MUMFORD, D.: Abelian varieties, Oxford Univ. Press, 1974.
CASSELS, J.W.S. and FrÖhlich, A. (eds.): Algebraic number theory, Acad. Press, 1967.
MANIN, Yu.I.: ‘Cyclotomic fields and modular curves’, Russian Math Surveys 26, no. 6 (1971), 6–78.
Uspekhi Mat. Nauk 26, no. 6 (1971), 7–71)
HARTSHORNE, R.: Algebraic grometry, Springer, 1977.
BLOCH, S.: ‘A note on height pairings, Tamagawa numbers, and the Birch and Swinnnerton-Dyer conjecture’, Invent. Math. 58 (1980), 65–76.
LANG, S.: Elliptic curves; Diophantine analysis, Springer, 1978.
LANG, S.: Elliptic functions, Addison-Wesley, 1973.
MAZUR, B.: ‘Rational isogenies of prime degree’, Invent. Math. 44 (1978), 129–162.
KUYK, W., et al. (eds.): Modular functions of one variable, 4, Springer, 1975.
MESTRE, J.F.: ‘Construction d’une courbe elliptique de rang ≥ 12’, CR. Acad. Sci. Paris Sér. 1 295 (1982), 643–644.
TATE, J.: ‘The arithmetic of elliptic curves’, Invent. Math. 23 (1974), 197–206.
COATES, J. and WILES, A.: ‘On the conjecture of Birch and Swinnerton-Dyer’, Invent. Math. 39 (1977), 223–251.
BELYĭ, G.V.: ‘On Galois extensions of a maximal cyclotomic field’, Math. USSR Izv. 14, no. 2 (1980), 247–256.
Izv. Akad. Nauk SSSR Ser. Mat.43 (1979), 267–276)
MAZUR, B.: ‘Modular curves and the Eisenstein ideal’, Publ. Math. IHES 47 (1978), 33–186.
SILVERMAN, J.H.: The arithmetic of elliptic curves, Springer, 1986.
AKHIEZER, N.L: Elements of the theory of elliptic functions, Moscow, 1970 (in Russian).
HURWITZ, A. and Courant, R.: Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen, Springer, 1964.
WHITTAKER, ET. and Watson, G.N.: A course of modern analysis, Cambridge Univ. Press, 1952.
ZHURAVSKIĭ, A.M.: Handbook on elliptic functions, Moscow-Leningrad, 1941 (in Russian).
ENNEPER, E.: Elliptische Funktionen, Theorie und Geschichte, Halle, 1890.
TANNÉRY, J. and Molk, J.: Elements de la theorie des fonctions elliptiques, 1-4, Gauthier-Villars, 1893–1902.
BERGER, M.: Geometry, 2, Springer, 1987.
BUSEMANN, H.: Recent synthetic differential geometry, Springer, 1970.
BELYAKOV, V.M., KRAVTSOVA, R.I. and Rappoport, M.G.: Tables of elliptic integrals, 1–2, Moscow, 1962–1963 (in Russian).
JAHNKE, E. and Emde, F.: Tables of functions with formulae and curves, Dover, reprint, 1945 (translated from the German).
HANCOCK, H.: Theory of elliptic functions, Dover, reprint, 1958.
ABRAMOWITZ, M. and Stegun, I.A.: Handbook of mathematical function, Dover, reprint, 1972.
PETROWSKI, I.G. [I.G. Petrovskiĭ]: Vorlesungen über partielle Differentialgleichungen, Teubner, 1965 (translated from the Russian).
MIRANDA, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
LADYZHENSKAYA, O.A. and URAL’TSEVE, N.N.: Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
LIONS, J.L. and MAGENES, E.: Non-homogenous boundary value problems and applications, 1–2, Springer, 1972 (translated from the French).
BERS, L., JOHN, F. and SCHECHTER, M.: Partial differential equations, Interscience, 1964.
AGMON, S., DOUGLIS, A. and NIRENBERG, L.: ‘Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions’, Comm. Pure Appl Math. 12 (1959), 623–627.
HÖRMANDER, L.: Linear partial differential equations, Springer, 1963.
SHUBIN, M.A.: Pseudo-differential operators and spectral theory, Springer, 1987 (translated from the Russian).
PALEY, R.: Seminar on the Atiyah — Singer index theorem, Princeton Univ. Press, 1965.
REMPEL, S. and SCHULZE, B.W.: Index theory of elliptic boundary problems, Akad. Verlag, 1982.
MONVEL, L. BOUTET DE: ‘Boundary problems for pseudo- differential operators’, Acta Math. 126 (1971), 11–51.
AGRANOVICH, M.S. and VISHIK, M.I.: ‘Elliptic problems with a parameter and parabolic problems of general type’, Russian Math Surveys 19 (1964), 53–157.
Uspekhi Mat. Nauk 19, no. 3, (1964), 53–161)
HÖRMANDER, L.: The analysis of linear partial differential operators, 3, Springer, 1985.
HÖRMANDER, L.: The analysis of linear partial differential operators, 1, Springer, 1983.
LATTÈS, R. and Lions, J.L.: Méthode de quasi-réversibilité et applications, Dunod, 1967.
KANTOROVICH, L.V. and Krylov, V.I.: Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Russian).
MIKHLIN, S.G. and Smolitskiĭ, Kh.L.: Approximate methods of solution of differential and integral equations, Amer. Elsevier, 1967 (translated from the Russian).
SAMARSKIĭ, A.A. and Andreev, V.B.: Méthodes aux différences pour équations elliptiques, Mir, 1978 (translated from the Russian).
BIRKHOFF, G.: ‘Solving elliptic problems: 1930–1980’, in M.H. Schultz (ed.): Elliptic problem solvers, Acad. Press, 1981, pp. 17–38.
ZIENKIEWICZ, O.C.: The finite element method, McGraw-Hill, 1977.
STRANG, G. and FIX, G.J.: An analysis of the finite element method, Prentice-Hall, 1973.
CIARLET, P.G.: The finite element method for elliptic problems, North-Holland, 1978.
MITCHELL, A.R. and WAIT, R.: The finite element method in partial differential equations, Wiley, 1977.
HINTON, E. and OWEN, D.R.J.: Finite element programming, Acad. Press, 1977.
SAMARSKIĭ, A. A. and NIKOLAEV, E.S.: Methods for solving grid equations, Moscow, 1978 (in Russian).
GEORGE, A. and LIU, J.W.-H.: Computer solutions of large sparse positive definite systems, Prentice Hall, 1981.
BREBBIA, C.A. and WALKER, S.: Boundary element techniques in engineering, Butterworth, 1980.
AXELSSON, O. and BARKER, V.A.: Finite element solution of boundary value problems — theory and computation, Acad. Press, 1984.
JOHNSON, C.: Numerical solution of partial differential equations by the finite element method, Cambridge Univ. Press, 1987.
BIRKHOFF, G. and LYNCH, R.E.: Numerical solution of elliptic problems, SIAM, 1984.
AMES, W.F.: Numerical methods for partial differential equations, Acad. Press, 1977.
CIARLET, P.G.: Introduction to the numerical analysis of the finite element method, North-Holland, 1977.
FAIRWEATHER, G.: Finite element Galerkin methods for differential equations, M. Dekker, 1978.
FORSYTHE, G.E. and WASOW, W.R.: Finite difference methods for partial differential equations, Wiley, 1960.
GLADWELL, I. and WAIT, R. (eds.): A survey of numerical methods for partial differential equations, Clarendon Press, 1979.
MITCHELL, A.R. and GRIFFITHS, D.F.: The finite difference method in partial differential equations, Wiley, 1980.
Algebraic surfaces’, Proc. Steklov Inst. Math. 75 (1967). (Trudy Mat. Inst Steklov. 75 (1965))
BOMBIERI, E. and HUSEMOLLER, D.: ‘Classification and embed- dings of surfaces’, in Algebraic geometry, Proc. Symp. Pure Math., Vol. 29, Amer. Math. Soc., 1975, pp. 329–420.
KODAIRA, K.: ‘On compact complex analytic surfaces I’, Ann. of Math (2) 71 (10), 111–152.
KODAIRA, K.: ‘On compact complex analytic surfaces II’, Ann. of Math. (2) 77 (1963), 563–626.
KODAIRA, K.: ‘On compact complex analytic surfaces III’, Ann. of Math. (2) 78 (1963), 1–40.
KODAIRA, K.: ‘On the structure of compact complex analytic surfaces I’, Amer. J. Math. 86 (1964), 751–798.
KODAIRA, K.: ‘On the structure of compact complex analytic surfaces II’, Amer. J. Math. 88 (1966), 682–721.
KODAIRA, K.: ‘On the structure of compact complex analytic surfaces IIP, Amer. J. Math. 90 (1968), 55–83.
KODAIRA, K.: ‘On the structure of compact complex analytic surfaces IV, Amer. J. Math. 90 (1968), 1048–1066.
MUMFORD, D.: ‘Enriques’ classification of surfaces in char p. I’, in Global analysis, Papers in honour of K. Kodaira, Univ. Tokyo Press, 1969, pp. 325–339.
BOMBIERI, E. and MUMFORD, D.: ‘Enriques’ classification of surfaces in char p. IF, in Complex analysis and algebraic geometry, Iwanami Shoten, 1977, pp. 23–42.
BARTH, W., PETERS, C. and VEN, A. VAN DER: Compact complex surfaces, Springer, 1984.
EMDEN, R.: Gaskugeln, Teubner, 1907.
SANSONE, G.: Equazioni differenziali nel campo reale, 2, Zanichelli, 1949.
BELLMAN, R.: Stability theory of differential equations, McGraw-Hill, 1953.
KIGURADZE, I.T.: Some singular boundary value problems for ordinary differential equations, Tiblisi, 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. Kedova.
WAERDEN, B.L. van der: Mathematische Statistic, Springer, 1957.
BOROVKOV, A.A.: Mathematical statistics, Moscow, 1984 (in Russian).
CSÖRGÖ, M. and RÉVÉSZ, P.: Strong approximation in probability and statistics, Acad. Press, 1981.
SHORACK, G.R. and WELLNER, J.A.: Empirical processes with applications to statistics, Wiley, 1986.
LOÉVE, M.: Probability theory, Princeton Univ. Press, 1963.
GAENSSLER, P. and STUTE, W.: ‘Empirical processes: a survey of results for independent and identically distributed random variables’, Ann. Prob. 7 (1977), 193–243.
KOLCHIN, V.F., SEVAST’YANOV, B.A. and CHISTYAKOV, V.P.: Random allocations, Winston, 1978 (translated from the Russian).
COHN, P.M.: Universal algebra, Reidel, 1981.
FAITH, C.: Algebra: rings, modules, and categories, 1–2, Springer, 1973–1976.
MUMFORD, D.: Abelian varieties, Oxford Univ. Press, 1974.
MARKOV, V.T., MIKHALEV, A.V., Skornyakov, L.A. and Tugaubaev, A.A.: ‘Endomorphism rings of modules and lattices of submodules’, J. Soviet Math. 31, no. 3 (1985), 3005–3051.
Itogi Nauk. i Tekhn. Algebra. Topol. Geom.21 (1983), 183–254.
GLUSKIN, L.M.: Transformation semigroups’, in Proc. Fourth All-Union Math. Congress, Vol. 2, Leningrad, 1964, pp. 3–9 (in Russian).
ZYKOV, A.A.: Theory of finite graphs, Novosibirsk, 1969 (in Russian).
MAGILL, K.D.: ‘A survey of semigroups of continuous self- maps’, Semigroup Forum 11 (1975–1976), 189–282.
PETRICH, M.: Rings and semigroups, Springer, 1974.
MIZOHATA, S.: The theory of partial differential equations, Cambridge Univ. Press, 1973 (translated from the Japanese).
COURANT, R. and HILBERT, D.: Methods of mathematical physics. Partial differential equations 2, Interscience, 1965 (translated from the German).
VLADIMIROV, V.S.: Equations of mathematical physics, Mir, 1984 (translated from the Russian).
LADYZHENSKAYA, O.A. and URAL’TSEVA, N.N.: Equations aux derives partielles de type elliptique, Dunod, 1969 (translated from the Russian).
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).
BERS, L., JOHN, F. and SCHECHTER, M.: Partial differential equations, Interscience, 1966.
JOHN, F.: Partial differential equations, Springer, 1978.
GARABEDIAN, P.R.: Partial differential equations, Wiley, 1967.
BRÉLOT, M.: Eléments de la théorie classique du potential, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
WERMER, J.: Potential theory, Springer, 1974.
LANDKOF, N.S.: Foundations of modern potential theory, Springer, 1972 (translated from the Russian).
AMAYO, R.K. and STEWART, L: Infinite-dimensional Lie algebras, Noordhoff, 1974.
KOSTRIKIN, A.I.: ‘Certain aspects of the theory of Lie algebras’, in Selected problems in algebra and logic, Novosibirsk, 1973, pp. 142–160 (in Russian).
KOSTRIKIN, A.I.: Around Burnside, Springer, Forthcoming (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, 1982.
HUPPERT, B.: Finite groups, Springer, 1982.
LIE, S. and ENGEL, F.: Theorie der Transformationsgruppen, 3, Teubner, 1893.
KILLING, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen’, Math. Ann. 31 (1888), 252–290.
LEVITZKI, J.: ‘On a problem of A. Kurosh’, Bull Amer. Math. Sac. 52 (1946), 1033–1035.
JACOBSON, N.: Lie algebras, Interscience, 1962.
BOURBAKI, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
NITSCHE, J.C.C.: Vorlesungen uber Minimalflachen, Springer, 1975.
EVGRAFOV, M.A.: Asymptotic estimates and entire functions, Moscow, 1979 (in Russian).
LEVIN, B.Ya.: Distribution of zeros of entire functions, Amer. Math. Soc., 1980 (translated from the Russian).
RONKIN, L.I.: Introduction to the theory of entire functions of several variables, Amer. Math. Soc., 1974 (translated from the Russian).
BAAS, H.R: Entire functions, Acad. Press, 1954.
CARTWRIGHT, M.L.: Integral functions, Cambridge Univ. Press, 1962.
VALIRON, G.: Lectures on the general theory of integral functions, Chelsea, 1949 (translated from the French).
HOLLAND, A.S.B.: Introduction to the theory of entire functions, Acad. Press, 1973.
LELONG, P. and GRUMAN, L: Entire functions of several complex variables, Springer, 1986.
LELONG, P.: Fonctionelles analytiques et fonctions entières (n variables) t Univ. de Montréal, 1968.
LEVINSON, N.: Gap and density theorems, Amer. Math. Soc., 1968.
PRIVALOV, I.I.: Introduction to the theory of functions of a complex variable, Moscow, 1977 (in Russian).
AHLFORS, L.V.: Complex analysis, McGraw-Hill, 1979.
MARKUSHEVICH, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
SHANNON, C.: ‘A mathematical theory of communication’, Bell System Techn. J. 27 (1948), 379–423; 623–656.
SHANNON, C.: ‘A mathematical theory of communication’, Bell System Techn. J. 27 (1948), 379–423; 623–656.
GALLAGER, R.G.: Information theory and reliable communication, Wiley, 1968.
BERGER, T.: Rate distortion theory, Prentice-Hall, 1971.
BILLINGSLEY, P.: Ergodic theory and information, Wiley, 1956.
CORNFELD, I.P. [LP. Kornfel’d], Fomin, S.V. and Sinaĭ, Ya.G.: Ergodic theory, Springer, 1982 (translated from the Russian).
ROKHLIN, V.A.: ‘Lectures on the entropy theory of measure- preserving transformations’, Russian Math. Surveys 22, no. 5 (1967), 1–52. (Uspekhi Mat Nauk 22, no. 5 (1967), 3–56 )
ORNSTEIN, D.: Ergodic theory, randomness, and dynamical systems, Yale Univ. Press, 1974.
CORNFELD, LP. [LP. Kornfel’d], Fomin, S.V. and Sinaĭ, Ya.G.: Ergodic theory, Springer, 1982 (translated from the Russian).
MAÑÉ R.: Ergodic theory and differentiable dynamics, Springer, 1987.
KLEENE, S.C.: Introduction to metamathematics, North-Holland, 1951.
ROGERS, JR., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
GONCHAROV, S.S. and DROBOTUN, B.N.: ‘Numerations of saturated and homogeneous models’, Siberian Math. J. 21 (1980), 183–190.
Sibirsk. Mat Zh.21, no. 2 (1980), 25–41)
DENISOV, S.D.: ‘Models of a non-contradictory formula and the hierarchy of Eshov’, Algebra and Logic 11 (1972), 359–362.
Algebra i Logika 11, no. 6 (1972), 648–655)
DROBOTUN, B.N.: ‘Enumerations of simple models’, Siberian Math. J. 18 (1977), 707–716 (in Russian).
Sibirsk Mat. Zh. 18, no. 5 (1977), 1002–1014)
ERSHOV, Yu.L. and ERSHOV, Yu.L.: Theorie der Numierungen, I-II, Deutsch. Verlag Wissenschaft., Novosibirsk, 1973–1976 (translated from the Russian).
ROGERS, JR., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
FEINER, L.: ‘Hierarchies of Boolean algebras’, J. Symbolic Logic 35 (1970), 365–374.
FEINER, L.: ‘The strong homogeneity conjecture’, J. Symbolic Logic 35 (1970), 375–377.
MAL’TSEV, A.I.: Algorithms and recursive functions, Wolters- Noordhoff, 1970 (translated from the Russian).
MAL’TSEV, A.I.: ‘Constructive algebras I’, Russian Math. Surveys 16, no. 3 (1961), 77–129.
Uspekhi Mat. Nauk 16, no. 3 (1961), 3–60)
USPENSKIĭ, V.A.: Leçon sur les fonctions calculables, Hermann, 1966 (translated from the Russian).
ERSHOV, Yu.L.: Theorie der Numerierungen, I-II, Deutsch. Verlag Wissenschaft., 1973–1976 (translated from the Russian).
MANIN, Yu.L: A course in mathematical logic, Springer, 1977(translated from the Russian).
ROGERS, JR., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
SACHKOV, V.N.: Combinatorial methods in discrete mathematics, Moscow, 1977 (in Russian).
RIORDAN, J.: An introduction to combinatorial analysis, Wiley, 1958.
Enumeration problems in combinatorial analysis, Moscow, 1979 (in Russian; translated from the English).
MULLIN, R. and ROTA, G.-C.: ‘On the foundations of combinatorial theory: III. Theory of binomial enumeration’, in B. Harris (ed.): Graph theory and its applications, Acad. Press, 1970, pp. 167–213.
ROTA, G.-C.: ‘On the foundations of combinatorial theory: I. Theory of Möbius functions’, Z. Wahrscheinlichkeitstheor. Verw. Geb. 2, no. 4 (1964), 340–368.
HALL, M.: Combinatorial theory, Blaisdell, 1967.
ZALGALLER, V. A.: The theory of envelopes, Moscow, 1975 (in Russian).
FAVARD, J.: Cows de géométrie différentielle locale, Gauthier-Villars, 1957.
TOLSTOV, G.P.: Uspekhi Mat. Nauk 7, no. 4 (1952), 173–179.
THOM, R.: ‘Sur la théorie des enveloppes’, J. de Math. Pures Appl. 56 (1962), 177–192.
WEIL, A.: Collected papers, 1, Springer, 1980, p. 133.
CARMO, M. DO: Differential geometry of curves and surfaces, Prentice-Hall, 1976.
PÓLYA, G. and SZEGÖ, G.: Problems and theorems in analysis, Springer, 1976, Chapts. 1–2 (translated from the German).
HARDY, G.H.: Divergent series, Clarendon Press, 1949.
SCOTT, G.A. and WATSON, G.N.: ‘Asymptotic formula occurring in electron theory’, Quart. J. Math. 47 (1917), 312.
SAVELOV, A.A.: Planar curves, Moscow, 1960 (in Russian).
MÜLLER, H.-R.: Kinematik, de Gruyter, 1963.
STRUBECKER, K.: Differential geometry, I, de Gruyter, 1964.
BERGER, M.: Geometry, I, Springer, 1987.
BERGER, M. and Gostiaux, B.: Differential geometry, Springer, 1988.
BAILEY, N.T.J.: The mathematical theory of infections diseases and its applications, Hafner, 1975.
LUDWIG, D.: Stochastic population theories, Springer, 1974.
MITCHELL, B.: Theory of categories, Acad. Press, 1965.
HILBERT problems’, Bull Amen Math. Soc. 8 (1902), 437–479 (translated from the German).
BOLTYANSKIĭ;, V.G.: Figures of equal content and equal shape, Moscow, 1956 (in Russian).
BOLTYANSKIĭ;, V.G.: Hilbert’s third problem, Winston, 1978 (translated from the Russian).
HADWIGER, H.: Vorlesungen über Inhalt, Oberflache und Isoperimetrie, Springer, 1957.
JESSEN, B. and THORUP, A.: ‘The algebra of polytopes in affine spaces’, Math. Scand 43, no. 2 (1978), 211–240.
SAH, C.-H.: Hilbert’s third problem: scissors congruence, Pitman, 1979.
HADWIGER, H.: ‘Polytopes and translative equidecomposability’, Amer. Math. Monthly 79 (1972), 275–276.
MCM, P. and SCHEIDER, R.: ‘Valuations on convex bodies’, in P.M. Gruber and J.M. Wills (eds.): Convexity and its applications, Birkhäuser, 1983, pp. 170–247.
KLEENE, S.C.: Introduction to metamathematics, North-Holland, 1950, Chapt. XIV.
PóLYA;, G.: ‘Eine Verallgemeinung des Fabryschen Lückensatzes’, Nachr. Ges. Wiss. Göttingen (1927), 187–195.
VALIRON, G.: ‘Sur les solutions des équations différentielles lineaires d’ordre infini et à coefficients constants’, Ann. Sci. École Norm. Sup. (3) 46, no. 1 (1929), 25 - 53.
LEONT’EV, A.F.: ‘Differential equations of infinite order and their applications’, in Proc. 4-th All-Union Math. Congress, Leningrad, 1964, pp. 648–660 (in Russian).
LEONT’EV, A.F.: ‘On representation of functions by sequences of Dirichlet polynomials’, Mat. Sb. 70 (112), no. 1 (1966), 132–144 (in Russian).
KRASICHKOV-TERNOVSKIĭ, I.F.: ‘Invariant subspaces of analytic functions III. On the extension of spectral synthesis’, Math. USSR-Sb. 17, no. 3 (1972), 327–348.
Mat. Sb.88, no. 3 (1972), 331–352)
HIRSCHMANN, LI. and WIDDER, D.V.: The convolution transform, Princeton Univ. Press, 1955.
EHRENPREIS, L.: Theory of infinite derivatives’, Amer. J. Math 81 (1959), 799–845.
EHRENPREIS, L.: Fourier analysis in several complex variables, Wiley (Interscience), 1970.
NORDEN, A.P.: Spaces with an affine connection, Moscow, 1976 (in Russian).
SCHOUTEN, J.A.: Ricci calculus, Springer, 1954 (translated from the German).
BERGER, M.: Geometry, 1, Springer, 1987.
SPIVAK, M.: Differential geometry, 2, Publish or Perish, 1979.
FEJES TOTH, L.: Lagerungen in der Ebene, auf der Kugel und im Raum, Springer, 1972.
DIEUDONNÉ, J.: Treatise on analysis, 4, Acad. Press, 1974.
BLASCHKE, W.: Vorlesungen uber Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitatstheorie. Affine Differentialgeometrie, 2, Springer, 1923.
ZARISKI, O. and SAMUEL, P.: Commutative algebra, 2, Springer, 1975.
KOLMOGOROV, A.N. and FOMIN, S.V.: Elements of the theory of functions and functional analysis, Graylock, 1957–1961 (translated from the Russian).
EDWARDS, R.E.: Functional anafysis: theory and applications Holt, Rinehardt, Winston, 1965.
DIEUDONNÉ, J.A.: Foundations of modern analysis, Acad. Press, 1961.
NEVANLINNA, R.: Analytic functions, Springer, 1970 (translated from the German).
WITTICH, H.: Neueste Ergebnisse über eindeutige analytische Funktionen, Springer, 1955.
WEYL, H.: Meromorphic functions and analytic curves, Princeton Univ. Press, 1943.
SHABAT, B.V.: Introduction to complex analysis, 2, Moscow, 1976 (in Russian).
GRIFFITHS, P. and KING, J.: ‘Nevanlinna theory and holomorphic mappings between algebraic varieties’, Acta Math. 130 (1973), 145–220.
GRIFFITHS, P.A.: Entire holomorphic mappings in one and several complex variables, Princeton Univ. Press, 1976.
NOVIKOV, P.S.: Elements of mathematical lope, Edinburgh, 1964 (translated from the Russian).
KLEENE, S.C.: Mathematical logic, Wiley, 1967.
MITCHELL, B.: Theory of categories, Acad. Press, 1965.
COOKE, R.G.: Infinite matrices and sequence spaces, MacMillan, 1950.
HARDY, G.H.: Divergent series, Clarendon Press, 1949.
KANGRO, G.F.: ‘Theory of summability of sequences and series’, J. Soviet Math. 5, no$11 (1976), 1–45. (Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 5–70 )
ZELLER, K. and BEEKMANN, W.: Theorie der Limitierungsverfahren, Springer, 1970.
YANOV, Yu.L: ‘On the problem of equivalent transformations’, Mitt. Math. Ges. DDR., no. 2–3 (1973), 47–58 (in Russian).
YANOV, Yu.L: ‘On systems of identities for algebras’, Probl. Kibernet. 8 (1962), 75–90 (in Russian).
MURSKIĭ, V.L.: ‘The existence in three-valued logic of a closed class with finite basis, not having a finite complete system of identities’, Soviet Math. Dokl. 6, 1020–1024.
Dokl Akad. Nauk SSSR 163, no. 4 (1965), 815–818)
MURSKIĭ, V.L.: ‘On the equivalent transformations of switching circuits’, Probl. Cybernetics 5 (1964), 77–98.
Probl. Kibernet.5 (1961), 61–76)
MURSKIĭ, V.L.: ‘On transformations of finite automata’, ProbL Kibernet. 15 (1965), 101–116 (in Russian).
YANOV, Yu.L: ‘The logical scheme of algorithms’, Probl. Cybernetics 1 (1960), 82–140.
Probl. Kibernet.1 (1958), 75–127)
YANOV, Yu.L: ‘Limiting-complete systems of rules of equivalent transformations for programs computed by everywhere defined functions’, ProbL Kibernet. 37 (1980), 215–238 (in Russian).
BREDON, G.E.: Equivariant cohomology theories, Springer, 1967.
HSIANG, W.Y.: Cohomology theory of topological transformation groups, Springer, 1975.
CARLSSON, G.: ‘Equivariant stable homotopy and Segal’s Burnside ring conjecture’, Ann. of Math. 120 (1984), 189–224.
LEWIS, L.G., MAY, J.P. and STEINBERGER, M.: Equivariant stable homotopy theory, Lecture notes in math., 1213, Springer, 1986. With contributions by J.E. McClure.
PETRIE, T. and RANDALL, J.D.: Transformation groups on manifolds, M. Dekker, 1984.
TOM DIECK, T.: Transformation groups and representation theory, Springer, 1979.
PETRIE, T.: ‘Pseudoequivalences of G-manifolds’, in R.J. Milgram (ed.): Algebraic and geometric topology, Vol. 1, Amer. Math. Soc., 1978, pp. 169–210.
LASHOF, R. and ROTHENBERG, M.: ‘G-smoothing theory’, in R.J. Milgram (ed.): Algebraic and geometric topology, Vol. 1, Amer. Math. Soc., 1978, pp. 211–266.
BROWDER, W. and QUINN, F.: ‘A surgery theory for G- manifolds and stratified sets’, in Manifolds — Tokyo, Univ. Tokyo Press, 1973, pp. 27–36.
ZACHS, S.: The theory of statistical inference, Wiley, 1971.
LEHMANN, E.: Testing statistical hypothesis, Wiley, 1986.
ERDÖS, P.: ‘Some unsolved problems’, Michigan J. Math. 4 (1957), 291–300.
DANZER, L. and GRÖNBAUM, B.: ‘Ueber zwei Probleme bezüglich konvexer Körpern von P. Erdös und von V.L. Klee’, MalkZ. 79 (1962), 95–99.
ERDöS, P.: Problem 4306’, Amer. Math. Monthly 55 (1948), 431.
KLEE, V.L.: Unsolved problems in intuitive geometry, Seattle, 1960. Mimeographed notes.
KRYLOV, N. and BOGOLIOUBOFF, N. [N.N. Bogolyubov]: ‘La théorie générate de la mesure dans son application à l’étude des systèmes dynamiques de la mécanique non-linéare’, Ann. of Math. Ser. (2) 38 (1937), 65–113.
OXTOBY, J.C.: ‘Ergodic sets’, Bull. Amer. Math. Soc. 58 (1952), 116–136.
HOPF, E.: Ergodentheorie, 4, Springer, 1937.
ROKHLIN, V.A.: ‘Selected topics from the metric theory of dynamical systems’, Transl Amer. Math. Soc. Ser. 2 49 (1966), 171–240.
Uspekhi Mat. Nauk 4, no. 2 (1949), 57–128)
HALMOS, P.R.: Lectures on ergodic theory, Math. Soc. of Japan, 1956.
Summer school on ergodic theory’, Russian Math. Surveys 22, no. 5 (1967), 1–167.
Uspekhi Mat. Nauk.22, no. 5 (1967), 3–127)
BILLINGSLEY, P.: Ergodic theory and information, Wiley, 1965.
VERSHIK, A.M. and YUZVINSKII, S.A.: ‘Dynamical systems with invariant measure’, Progress in Math. 8 (1970), 151–215.
Itogi Nauk. Mat. Anal. 1967 (1969), 133–187)
SINAĭ, Ya.G.: Introduction to ergodic theory, Princeton Univ. Press, 1976 (translated from the Russian).
KATOK, A.B., SINAĭ, Ya.G. and Stepin, A.M.: ‘Theory of dynamical systems and general transformation groups with invariant measure’, J. Soviet Math. 7 (1977), 974–1065. (Itogi Nauk. i Tekhn. Mat. Anal. 13 (1975), 129–262 )
ORNSTEIN, D.: Ergodic theory, randomness, and dynamical systems, Yale Univ. Press, 1974.
CORNFELD, I.P. [I.P. Kornfel’d], Fomin, S.V. and Sinaĭ, Ya.G.: Ergodic theory, Springer, 1982(translated from the Russian).
FURSTENBERG, H.: Recurrence in ergodic theory and combinatorial number theory, Princeton Univ. Press, 1981.
ZIMMER, R.J.: Ergodic theory and semisimple groups, Birkhäuser, 1984.
ARNOL’d, V.I. and Avez, V.: Ergodic problems of classical mechanics, Benjamin, 1968 (translated from the Russian).
BOWEN, R.: Equilibrium states and ergodic theory of Anosov diffeomorphisms, Springer, 1975.
DENKEN, M., GRILLENBERG, C. and SIGMUND, K.: Ergodic theory on compact spaces, Springer, 1976.
ZASLOWSKY, G.M.: Chaos in dynamic systems, Harwood Acad. Publ., 1985 (translated from the Russian).
KRENGEL, U.: Ergodic theorems, de Gruyter, 1985.
MACKEY, G.W.: ‘Ergodic theory and its significance for statistical mechanics and probability theory’, Adv. in Math. 12 (1974), 178–268.
MAÑÉ, R.: Ergodic theory and differentiable dynamics, Springer, 1987. ( Translated from the Portuguese).
RUELLE, D.: Thermodynamic formalism, Addison-Wesley, 1978.
VEECH, W.A.: Topological dynamics’, Bull. Amer. Math. Soc. 83 (1977), 775–830.
OSELEDEC, V.I.: ‘Multiplicative ergodic theorem. Characteristic Lyapunov exponents of dynamical systems’, Trudy Moskov Mat Obshch. 19 (1968), 179–210 (in Russian).
CONNES, A.: ‘Outer conjugacy classes of automorphisms of factors’, Ann. Sci. Ecole. Norm Sup. 8 (1975), 383–419.
GOLODETS, V.Ya.: ‘Modular operators and asymptotic commutativity in Von Neumann algebras’, Russian Math. Surveys 33, no. 1 (1978), 47–106.
Uspekhi Mat. Nauk 33, no. 1 (1978), 43–94)
ARAKI, H.: C-algebras and applications to physics, Lecture notes in math., 650, Springer, 1978, pp. 66–84.
SINAĭ, Ya.G. and ANSHELEVICH, V.V.: ‘Some problems of non-commutative ergodic theory’, Russian Math. Surveys 31, no. 4 (1976), 157–174.
Uspekhi Mat. Nauk 31, no. 4 (1976), 151–167)
LANCE, E.C.: ‘Ergodic theorems for convex sets and operator algebras’, Invent. Math. 37 (1976), 201–214.
CONNES, A. and STORMER, E.: ‘Entropy for automorphisms of II, Von Neumann algebras’, Acta Math. 134 (1975), 289–306.
STEPIN, A.M. and SHUKHOV, A.G.: ‘The centralizer of diagon- able states and entropies of automorphisms of W-algebras’, Soviet Math. (Vuz) 26, no. 8 (1982), 61–71.
Izv. Vuzov. Mat.8 (1982), 52–60)
KLEIN, F.: ‘Vergleichende Betrachtungen über neuere geometrische Forschungen’, Math. Ann. 43 (1893), 63–100. (Also: Gesammelte Abh. Vol. 1, Springer, 1921, pp. 460–497 )
KLEIN, F.: Elementary mathematics from advanced standpoint, Dover, reprint, 1945 (translated from the German).
KLEIN, F.: Vorlesungen über höhere Geometrie, Springer, 1926.
EFIMOV, N.V.: Höhere Geometrie, Deutsch. Verlag Wissen- schaft., 1960 (translated from the Russian).
GREENBERG, M.: Euclidean and Non-Euclidean geometry, Freeman, 1980.
ERMAKOV, V.P.: A new criterion for convergence and divergence of infinite series of constant sign, Kiev, 1872 (in Russian).
BROMWICH, T.J.: An introduction to the theory of infinite series, Macmillan, 1947.
GALLAGER, R.: Information theory and reliable communication, 1–2, Wiley, 1968–1972.
FEINSTEIN, A.: Foundations of information theory, McGraw-Hill, 1958.
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).
VOEVODIN, V.V.: Numerical methods of algebra, Moscow, 1966 (in Russian).
WILKINSON, J.H.: Rounding errors in algebraic processes, Prentice-Hall, 1963.
PETERSON, W.W. and Weldon, E.J.: Error-correcting codes, M.I.T., 1972.
BERLEKAMP, E.: Algebraic coding theory, McGraw-Hill, 1968.
MACWILLIAMS, F.J. and SLOANE, N.J.A.: The theory of error correcting codes, 1–2, North–Holland, 1977.
BLOKH, E.L. and ZYABLOV, V.V.: Generalized cascade codes, Moscow, 1976 (in Russian).
KOLESNIK, V.D. and MIRONCHIKOV, E.T.: The decoding of cyclic codes, Moscow, 1968 (in Russian).
SIDEL’NIKOV, V.M.: ‘Extremal polynomials used in bounds of code volume’, Probl Inform Transmission 16, no$13 (1980), 174–185. (Probl. Peredack Inform 16, no. 3 (1980), 17–30 )
LEVENSHTEIN, V.I.: ‘Minimum redundancy of error-correcting codes’, Probl Inform Transmission 10, no$12 (1974), 110–123. (Probl Peredack Inform. 10, no. 2 (1974), 26–42 )
ZYABLOV, V.V. and Pinsker, M.S.: ‘Estimation of the error correcting complexity for Gallager low-density codes’, Probl Inform Transmission 11, no. 1 (1975), 18–28.
Probl Peredack Inform.11, no. 1 (1975), 23–36)
LINT, J.H. VAN: Introduction to coding theory, Springer, 1982.
TIETÄVÄINEN, A.: ‘On the existence of perfect codes over finite fields1, SIAM J. Appl. Math. 24 (1973), 88–96.
MCELIECE, R.J., RODEMICH, E.R., RUMSEY, H. and WELCH, L.R.: ‘New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities’, IEEE Trans. Inform. Theory 23 (1977), 157–166.
TSFASMAN, M.A., VLĂDUTS, S.G. and ZINK, T.: ‘Modular curves, Shimuro curves and Goppa codes, better than Varshanov-Gilbert bound’, Math. Nachr 109 (1982), 21–28.
LEKKERKERKER, C.G. and Gruber, P.M.: Geometry of numbers, North-Holland, 1987.
Hill, R.: A first course in coding theory, Clarendon Press, 1986.
Lint, J.H. van and Geer, G. van der: Introduction to coding theory and algebraic geometry, Birkhäuser, 1988.
Goppa, V.D.: Geometry and codes, Kluwer, 1988.
Tsfasman, M.A. and VlĂduts, S.G.: Algebraic geometric codes, Kluwer, 1989.
Linnik, Y.V.: Methode der kleinste Quadrate in moderner Darstellung, Deutsch. Verlag Wissenschaft., 1961 (translated from the 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. Kedova.
Smirnov, N.V.: ‘On the estimation of the maximum term in a series of observations’, Dokl. Akad. Nauk SSSR 33, no. 5 (1941), 346–349 (in Russian).
Ferguson, Th.S.: ‘Rules for rejection of outliers’, Rev. Inst. Int. Stat. 29 (1961), 29–43.
Hawkins, D.M.: Identification of outliers, Chapman & Hall, 1980.
Dixon, W.J.: ‘Simplified estimation from censored normal samples’, Ann. Math. Stat. 31 (1960), 385–391.
Sarhan, A.E. and Greenberg, B.G.: ‘Estimation of location and scale parameters by order statistics from singly and doubly censored samples l’, Ann. Math. Stat. 27 (1956), 427–451.
Sarhan, A.E. and Greenberg, B.G.: ‘Estimation of location and scale parameters by order statistics from singly and doubly censored samples II’, Ann. Math. Stat. 29 (1958), 79–105.
Huber, P.J.: Robust statistics, Wiley, 1981.
Hampel, F.R., Ronchetti, E.M., Rousseeuw, P.J. and Stahel, W.A.: Robust statistics. The approach based on influence functions, Wiley, 1986.
Rey, W.J.J.: Introduction to robust and quasi-robust statistical methods, Springer, 1983.
Federer, W.T.: Statistics and society. Data collection and interpretation, M. Dekker, 1973.
Engelking, R.: Dimension theory, North-Holland & PWN, 1978.
Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Fuks, B.A.: Introduction to the theory of analytic functions of several complex variables, Amer. Math. Soc., 1965 (translated from the Russian).
A1] Saks, S. and Zygmund, A.: Analytic functions, Elsevier, 1971 (translated from the Polish).
Tarski, A., Mostowski, A. and Robinson, R.M.: Undecidable theories, North-Holland, 1953.
Ershov, Yu.L., Lavrov, I.A., Taĭmanov, A.D. and Taĭtslin, M.A.: ‘Elementary theories’, Russian Math. Surveys 20, no$14 (1965), 35–105. (Uspekhi Mat. Nauk 20, no. 4 (1965), 37–108 )
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Grothendieck, A.: ‘The cohomology theory of abstract algebraic varieties’, in Proc. internal congress mathematicians Edinburg 1958, 1958, pp. 103–118.
Milne, J.: Etale cohomology, Princeton Univ. Press, 1980.
Deligue, P.: Cohomologie etale. SGA 41/2, Lecture notes in math., 509, Springer, 1977.
Grothendieck, A.: Cohomology l-adique et fonctions L, Lecture notes in math., 589, Springer, 1977.
Artin, M., Grothendieck, A. and Verdier, J.L.: Théorie des topos et cohomologie étale des schémas. SGA 4, Lecture notes in math, 269, 270, 305, Springer, 1972–1973.
Deligue, P.: ‘La conjecture de Weil l\ Publ. Math. IHES 43 (1974), 273–308.
Deligue, P.: ‘La conjecture de Weil II’, Publ. Math. IHES 52 (1980), 137–252.
Grothendieck, A.: Revêtements étales et groupe fondamental SGA 1, Lecture notes in math, 224, Springer, 1971.
Grothendieck, A. and DieudonnÉ, J.: ‘Eléments de géometrie algébrique: Etude locale des schémas et de morphismes de schémas’, Publ. Math. IHES 4 (1965), Part 4, Sect. 17. 6.
Manin, Yu.I.: ‘Algebraic topology of algebraic varieties’, Russian Math. Surveys 20, no. 5 /6 (1965), 183–192.
Uspekhi Mat Nauk 20, no. 6 (1965), 3–12)
Milne, J.S.: Etale cohomology, Princeton Univ. Press, 1980.
Artin, M., Grothendieck, A. and Verdier, J.L.: Théorie des topos et cohomology étale des schemas. SGA 4, Lecture notes in math., 269, 270, 305, Springer, 1972–1973.
Deligne, P.: Cohomologie étale. SGA 41/2, Lecture notes in math., 569, Springer, 1977.
A1] Leveque, W.J.: Topics in number theory, 1, Addison-Wesley, 1956, Chapt. 2.
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, 1, Interscience, 1963.
Klingenberg, W.: Riemannian geometry, de Gruyter, 1982, Chapt. 1. 8.
Weiss, E.: Algebraic number theory, McGraw-Hill, 1963.
Hilbert, D.: Grundlagen der Geometrie, Springer, 1913.
Kagan, V.F.: The foundations of geometry, 1, Moscow- Leningrad, 1949 (in Russian).
Pogorelov, A. V.: Foundations of geometry, Moscow, 1968 (in Russian).
Enzyklopädie der Elementarmathematik, 4. Geometrie, Deutsch. Verlag Wissenschaft, 1969 (translated from the Russian).
Bachmann, F.: Aufbau der Geometrie aus dem Spiegelungbegriff, Springer, 1973.
Hilbert, D.: Foundations of geometry, Open Court, LaSalle, 1971.
Berger, M.: Geometry, 1, Springer, 1987.
Greenberg, M.: Euclidean and non-Euclidean geometry, Freeman, 1980.
Busemann, H.: Recent synthetic geometry, Springer, 1970.
Choquet, G.: Geometry in a modern setting, Kershaw, 1969.
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Berger, M.: Geometry, I, Springer, 1987. AMS 1980
A1] Landau, L.D. and Lifshits, E.M.: Mechanics, Pergamon, 1965 (translated from the Russian).
Gallavotti, G.: The elements of mechanics, Springer, 1983.
Goldstein, H.: Classical mechanics, Addison-Wesley, 1959.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Munkres, J.R.: Elements of algebraic topology, Addison- Wesley, 1984.
Spanier, EH.: Algebraic topology, McGraw-Hill, 1966.
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Euler, L.: ‘Adnotationum ad calculum integralem Euleri’, in Opera Omina Ser. 1, Vol. 12, Teubner, 1914, pp. 493–538.
Vinogradov, I.M.: Elements of number theory, Dover, reprint, 1954 (translated from the Russian).
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Kamke, E.: Handbuch der gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Ince, E.L.: Ordinary differential equations, Dover, reprint, 1956.
Kamke, E.: Handbuch der gewdhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Akhiezer, N.I.: The calculus of variations, Blaisdell, 1962 (translated from the Russian).
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic optimal control, Springer, 1975.
A2] Gel’fand, I.M. and Fomin, S.V.: Calculus of variations, Prentice Hall, 1963 (translated from the Russian).
Chorin, A.J. and Marsden, J.E.: A mathematical introduction to fluid dynamics, Springer, 1979.
Yih, C.-S.: Stratified flows, Acad. Press, 1980.
Holzapfel, R.-P.: Geometry and arithmetic around Euler partial differential equations, Reidel, 1986.
Carmo, M. do: Differential geometry of curves and surfaces, Prentice Hall, 1976.
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometriep Springer, 1973.
Euler, L.: Miscellanea Berolinensia 7 (1743), 193–242.
Euler, L.: Einleitung in die analysis des Unendlichen, Springer, 1983 (translated from the Latin).
Markushevich, A.L: A short course on the theory of analytic functions, Moscow, 1978 (in Russian).
Stromberg, K.: An introduction to classical real analysis, Wadsworth, 1981.
Chandrasekharan, K.: Introduction to analytic number theory, Springer, 1968.
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Chandrasekharan, K.: Introduction to analytic number theory, Springer, 1968.
Lang, S.: Introduction to modular forms, Springer, 1976.
Titchmarsh, E.C.: The theory of the Riemann zeta-function, Clarendon, 1951.
Giusti, E.: Minimal surfaces and functions of bounded variation, Birkhäuser, 1984.
Nitsche, J.C.C.: Vorlesungen über Minimalflächen, Springer, 1975.
Bernstein, S.N. [S.N. BERNSHTEĭN]: ‘Sur les surfaces définies au moyen de leur courbure moyenne ou totale’, Ann. Sci. Ecole Norm. Sup. 27 (1910), 233–256.
Bombieri, E., Degiorgi, E. and Giusti, E.: ‘Minimal cones and the Bernstein problem’, Inv. Math. 7 (1969), 243–268.
Euler, L.: Comment Acad. Sci. Imp. Petrop. 6 (1738), 68–97.
MacLaurin, C.: A treatise of functions, 1–2, Edinburgh, 1742.
Hardy, G.H.: Divergent series, Clarendon, 1949.
NÖrlund, N.E.: Vorlesungen über Dijferenzenrechung, Springer, 1924.
Gelfond, A.O. [A.O. Gel’fond]: Differenzenrechnung, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Hildebrand, F.B.: Introduction to numerical analysis, McGraww-Hill, 1974.
Steffensen, J.F.: Interpolation, Chelsea, reprint, 1950.
Demidovich, B.P. and Maron, IA: Foundations of computational mathematics, Moscow, 1960 (in Russian).
Butcher, J.C.: The numerical analysis of ordinary differential equations, Runge — Kutta and general linear methods, Wiley, 1987.
Euler, L.: Institutionum calculi integralis Vol. Primum (1768), Opera Omnia Series Prima, 11, Teubner, 1913.
Henrici, P.: Discrete variable methods in ordinary differential equations, Wiley, 1962.
Runge, G: ‘Ueber die numerische Auflösung von Differentialgleichungen’, Math. Ann. 46 (1895), 167–178.
Hall, G. and Watt, J.M.: Modern numerical methods for ordinary differential equations, Clarendon Press, 1976.
Euler, L.: ‘Institutiones calculi differentialis’, in Opera Omnia, Series prima: opera mathematica, Vol. 10, Teubner, 1980.
Gradshtein, I.S. and Ryzhk, I.M.: Table of integrals, series and products, Acad. Press, 1980 (translated from the Russian).
Segun, A. and Abramowhz, M.: Handbook of mathematical functions, Appl. Math. Ser., 55, Nat. Bur. Stand., 1970.
Euler, L.: Opera omnia: series prima: opera mathematica: insti- tutiones calculi differentials, Teubner, 1980 (translated from the Latin).
NÖrlund, N.E.: Vorlesungen iiber Differenzenrechnung, Springer, 1924.
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1963.
Knopp, K.: ‘Ueber das Eulersche Summierungsverfahren’, Math. Z. 15 (1922), 226–253.
Knopp, K.: ‘Ueber das Eulersche Summierungsverfahren IF, Math. Z. 18 (1923), 125–156.
Hardy, G.H.: Divergent series, Clarendon, 1949.
Baron, S.: Introduction to the theory of summability of series, Tallin, 1977 (in Russian).
Zeller, K. and Beekmann, W.: Theorie der Limitierungsverfahren, Springer, 1970.
Ince, E.L.: Ordinary differential equations, Dover, reprint, 1956.
Kamke, E.: Differentialgleichungen. Lösungsmethoden und Lösungen, I. Gewöhnliche Differentialgleichungen, Teubner, 1943.
Brychkov, Yu.A. and Prudnikov, A.P.: Integral transformations of generalized functions, Gordon & Breach, 1988 (translated from the Russian).
A1] ErdÉlyi, A., et al.: Tables of integral transformations, McGraw-Hill, 1954, Chapt. 13.
McBride, A.C.: Fractional calculus and integral transforms of generalized functions, Pitman, 1979.
Berezin, I.S. and Zhidkov, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian).
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordi- nary differential equations, Mir, 1977 (translated from the Russian).
Davis, PJ.: Interpolation and approximation, Dover, reprint, 1975.
Thomson, A.J.: Table of the coefficients of Everett’s central difference interpolation formula, Cambridge Univ. Press, 1965.
MÜller, H.-R.: Kinematik, de Gruyter, 1963.
Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988, p. 305.
Coolidge, J.: Algebraic plane curves, Dover, reprint, 1959, p. 195.
Berger, M.: Geometry, I, Springer, 1987, pp. 253–254.
Guggenheimer, H.: Differential geometry, McGraw-Hill, 1963, p. 25; 60.
Darboux, G.: Legons sur la theorie generate des surfaces et ses applications geometriques du calcul infinitesimal, 1, Gauthier-Villars, 1887.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces, Springer, 1988.
Walker, J.A.: Dynamical systems and evolution equations, Plenum, 1980.
A1] Pazy, A.: Semigroups of linear operators and applications to partial differential equations, Springer, Chapt. 5.
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Strubecker, K.: Differential geometry, I, de Gruyter, 1964.
A2] Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988, p. 305ff.
Coolidge, J.: A treatise of algebraic plane curves, Dover, reprint, 1959, p. 195.
Guggenheimer, H.: Differential geometry, McGraw-Hill, 1963, p. 25, 60.
Berger, M.: Geometry, I, Springer, 1987, pp. 253 - 254.
Rokhlin, V.A.: ‘Exact endomorphisms of a Lebesgue space’, Izv. Akad. Nauk SSSR Ser. Mat. 25, no. 4 (1961), 499–530 (in Russian).
Cornfeld, I.P. [LP. Kornfel’d], Sinaĭ, Ya.G. and Fomin, S.V.: Ergodic theory, Springer, 1982 (translated from the Rus
MaÑÉ, R.: Ergodic theory and differentiable dynamics, Springer, 1987.
Grothendieck, A. and Dieudonne, J.: ‘Elements de g6om£trie algebrique’, Publ. Math. IHES 2 (1965).
Hironaka, H.: ‘Resolution of singularities of an algebraic variety over a field of characteristic zero. I’, Ann. of Math. 79, no. 1 (1964), 109–203.
Grauert; H.: ‘Ueber Modifikationen und exzeptionelle analytische Mengen’, Math. Ann. 146 (1962), 331–368.
Ancona, V.: ‘Un teorema di contrattibilità relativa’, Boll Unione Mat. Ital. 9, no. 3 (1974), 785–790.
Fujiki, A. and Nakano, S.: ‘Supplement to ‘on the inverse of monoidal transformation’, Publ. Res. Inst. Math. Sci 7, no. 3 (1972), 637–644.
FUJIKI, A.: ‘On the blowing down of analytic spaces’, Publ. Res. Inst. Math. Sci. 10, no. 2 (1975), 473–507.
Takuima, K. and Suzuki, T.: ‘On the trivial extension of equivalence relations on analytic spaces’, Trans. Amer. Math. Soc. 219 (1976), 369–377.
Krasnov, V.A.: ‘Transitivity of exceptional subspaces’, Math. USSR-Izv. 9, no. 1 (1975), 13–20.
Izv. Akad. Nauk SSSR Ser. Mai.39, no. I (1975), 15–22)
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Algebraic surfaces’, Proc. Steklov Inst. Math. 75 (1967).
Trudy Mat. Inst. Steklov.75 (1975))
Artin, M.: ‘Some numerical criteria for contractability of curves on algebraic surfaces’, Amer. J. Math. 84 (1962), 485–496.
Artin, M.: ‘Algebraization of formal moduli. II Existence of modifications’, Ann. of Math. 91, no. 1 (1970), 88–135.
Grauert, H.: ‘Ueber Modificationen und exceptionelle analytische Mengen’, Math. Ann. 146 (1962), 331–368.
Kodairae, K.: ‘On Kähler varieties of restricted type (an intrinsic characterization of algebraic varieties)’, Ann. of Math. 60 (1954), 28–48.
Lichtenbaum, S.: ‘Curves over discrete valuation rings’, Amer. J. Math. 90, no. 2 (1968), 380–405.
Nakano, S.: ‘On the inverse of monodial transformations’, Publ Res. Inst. Math. Sci. 6, no. 3 (1971), 483–502.
Fujiki, A. and Nakano, S.: ‘Supplement to ‘On the inverse of monodial transformations’, Publ Res. Inst. Math. Sci. 7 (1972), 637–644.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Shafarevich, I.R.: Lectures on minimal models and birational transformations of two-dimensional schemes, Tata Inst. Fundam. Res., 1966.
Nevanlinna, R.: Analytic functions, Springer, 1970 (translated from the German).
Gol’dberg, A.A. and Ostrovskiĭ, I.V.: Value distribution of meromorphic functions, Moscow, 1970 (in Russian).
Petrenko, V.P.: ‘Growth of meromorphic functions of finite lower order’, Math. USSR Izv. 3, no. 2 (1969), 391–432.
Izv. Akad. Nauk SSSR Ser. Mat.33, no. 2 (1969), 414–454)
Kendall, M.G. and Stuart, A.: The advanced theory of statistics. Distribution theory, Griffin, 1969.
CramÉr, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
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.
Berger, M.: Geometry, II, Springer, 1987, p. 278.
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. of Toronto Press, 1957.
Greenberg, M.: Euclidean and non-Euclidean geometry, Freeman, 1980, p. 105.
Hunt, G.A.: ‘Markov processes and potentials I’, Illinois J. Math. 1, no. 1 (1957), 44–93.
Hunt, G.A.: ‘Markov processes and potentials II’, Illinois J. Math. 1, no. 3 (1957), 316–369.
Hunt, G.A.: ‘Markov processes and potentials III’, Illinois J. Math. 2, no. 2 (1958), 151–213.
Shiryaev, A.N.: Statistical sequential analysis, Amer. Math, ed Soc., 1973 (translated from the Russian).
Dynkin, E.B.: Markov processes, Springer, 1965 (translated from the Russian).
Getoor, R.K.: Markov processes: Ray processes and right processes, Springer, 1975.
Shur, M.G.: ‘Functions harmonic for a Markov process’, Math. Notes 13 (1973), 355–359.
Mat. Zametki 13, no. 4 (1973), 587–596)
Meyer, P.A.: ‘Fonctionelles multiplicatives et additives de MarkoV, Ann. Inst. Fourier 12 (1962), 125–230.
Meyer, P.A.: ‘Brelot’s axiomatic theory of the Dirichlet problem and Hunt’s theory’, Ann. Inst. Fourier 13 (1963), 357–372.
Blumenthal, R.M. and Getoor, R.K.: Markov processes and potential theory, Acad. Press, 1968.
Fukushima, M.: Dirichlet forms and Markov processes, North-Holland, 1980.
Chung, K.L.: Lectures from Markov processes to Brownian motion, Springer, 1982.
Doob, J.L.: Classical potential theory and its probabilistic counterpart, Springer, 1984.
BrÉlot, M.: Eléments de la théorie classique du potential, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
Boyer, C.B.: A history of mathematics, Wiley, 1968, pp. 100; 142–146.
Stoĭlov, S.: The theory of functions of a complex variable, 2, Moscow, 1962, Chapt. 5 (in Russian; translated from the Rumanian).
Springer, G.: Introduction to Riemann surfaces, Addison-Wesley, 1957.
A2] Ahlfors, L.V. and Sario, L.: Riemann surfaces, Princeton Univ. Press, 1960, Chapt. 1.
Krantz, S.G.: Function theory of several complex variables, Wiley, 1982.
Grzegorczyk, A.: An outline of mathematical logic, Reidel, 1974.
Shub, M.: ‘Endomorphisms of compact differentiable manifolds’, Amer. J. Math. 91, no. 1 (1969), 175–199.
Walters, P.; ‘Invariant measures and equilibrium states for some mappings which expand distances’, Trans. Amer. Math. Soc. 236 (1978), 121–153.
Krzyzewski, K.: ‘A remark on expanding mappings’, Colloq. Math. 41, no. 2 (1979), 291–295.
Krzyzewski, K.: ‘Some results on expanding mappings’, Astérisque 50 (1977), 205–218.
Krzyzewski, K.: ‘On analytic invariant measures for expanding mappings’, Colloq. Math. 46, no. 1 (1982), 56–65.
Gromov, M.: ‘Groups of polynomial growth and expanding maps’, Publ. Math. IHES 53 (1981), 53–78.
Shub, M.: ‘Expanding maps’, in S.S. Chern and S. Smale (eds.): Global analysis, Proc. Symp. Pure Math., Vol. 14, Amer. Math. Soc., 1970, pp. 273–276.
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1971.
Ross, S.M.: Stochastic processes, Wiley, 1983.
A2] Gnedenko, B.V., Belyayev, Yu.K. [Yu.K. Belyaev] and Solovyev, A.D. [A.D. Solov’ev]: Mathematical methods of reliability theory, Acad. Press, 1969 (translated from the Russian).
Stromberg, K.: Introduction to classical real analysis, Wadsworth, 1981.
DieudonnÉ, J.: Foundations of modern analysis, 1, Acad. Press, 1969, p. 192.
A3] Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Kuratowski, K.: Topology, 1-2, Acad. Press, 1966–1968 (translated from the French).
Curtis, D.W. and Schori, A.M.: ‘Hyperspaces of Peano continua are Hilbert cubes’, Fund. Math. 101 (1978), 19–38.
Markushevich, A.I.: Theory of functions of a complex variable, 1–2, Chelsea, 1977 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 1–2, Moscow, 1976 (in Russian)..
Conway, J.B.: Functions of one complex variable, Springer, 1978.
Ritt, J.F.: Differential algebra, Amer. Math. Soc, 1950.
Kolchin, E.R.: Differential algebra and algebraic groups, Acad. Press, 1973.
Kaplansky, I.: An introduction to differential algebra, Hermann, 1976.
Pommaret, J.F.: Differential Galois theory, Gordon & Breach, 1983.
Bourbaki, N.: Eléments de mathématique. Algèbre, Masson, 1981, Chapt. 4–7.
Waerden, B.L. van der: Algebra, 1–2, Springer, 1967–1971 (translated from the German).
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Lang, S.: Algebra, Addison-Wesley, 1974.
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
MacLane, S.: Homology, Springer, 1963.
Eilenberg, S. and MacLane, S.: ‘Cohomology theory in abstract groups II’, Ann. of Math. 48 (1947), 326–341.
Jacobson, N.: Lie algebras, Interscience, 1962.
Faith, C.: Algebra: rings, modules and categories, Springer, 1973.
Clifford, A.H. and Preston, G.B.: The algebraic theory of semigroups, 1, Amer. Math. Soc., 1961.
Petrich, M.: Introduction to semigroups, C. Merrill, 1973.
Cech, E.: Topological spaces, Wiley, 1966.
MacLane, S.: Homology, Springer, 1963.
Hochschild, G.: ‘On the cohomology groups of an associative algebra’, Ann. of Math. 46 (1945), 58–67.
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral theory, 2, Interscience, 1963.
Naĭmark, M.A.: Lineare Dijferentialoperatoren, Akad. Verlag, 1960 (translated from the Russian).
Kato, T.: Perturbation theory for linear operators, Springer, 1966.
Kreĭn, M.G.: ‘Theory of self adjoint extensions of semi- bounded Hermitian transformations and its applications I’, Mat. Sb. 20 (1947), 431–498 (in Russian).
Kreĭn, M.G.: ‘Theory of selfadjoint extensions of semi- bounded Hermitian transformations and its applications IF, Mat. Sb. 21 (1947), 365–404 (in Russian).
Birman, M.Sh.: ‘On the theory of selfadjoint extensions of positive definite operators’, Mat. Sb. 38 (1956), 431–450 (in Russian).
Phillips, R.S.: ‘Dissipative operators and hyperbolic systems of partial differential equations’, Trans. Amer. Math. Soc. 90, no. 2 (1959), 193–254.
Moren, K.: Hilbert space methods, Moscow, 1965 (in Russian; translated from the Polish).
Berezanskiy, Yu.M. [Yu.M. Berezanskiĭ]: Expansion in eigenfunctions of selfadjoint operators, Amer. Math. Soc., 1968 (translated from the Russian).
Mikhlin, S.G.: The problem of the minimum of a quadratic functional, Holden Day, 1965 (translated from the Russian).
Naĭmark, M.A.: ‘Spectral functions of a symmetric operator’, Izv. Akad. Nauk SSSR Ser. Mat. 4 (1940), 277–318 (in Russian).
SzÖkefalvi-Nagy, B. and Foias, C.: Harmonic analysis of operators on Hilbert spaces, North-Holland, 1970 (translated from the French).
Brown, L., Douglas, R. and Fillmore, P.: ‘Unitary equivalence modulo the compact operators and extensions of C-algebras’, in Proc. Conf. Operator Theory, Lecture notes in math., Vol. 345, Springer, 1973, pp. 58–128.
Arveson, W.: ‘Notes on extensions of C-algebras’, Duke Math. J. 44, no. 2 (1977), 329–355.
Reid, M. and Simon, B.: Methods of contemporary mathematical physics, II: Fourier analysis, self-adjointness, Acad. Press,
Carleman, T.: ‘Sur les fonctions inverses des fonctions entières’, Ark. Mat Ast. Fys. 15, no. 10 (1921).
Nevanlinna, R.: Analytic functions, Springer, 1970 (translated from the German).
Evgrafov, M.A.: Analytic functions, Saunders, Philadelphia, 1966 (translated from the Russian).
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory offunctions and functional analysis, Graylock, 1957–1961 (translated from the Russian).
Hestenes, M.R.: ‘Extension of the range of differentiable functions’, Duke Math. J. 8 (1941), 183–192.
Whitney, H.: ‘Analytic extension of differentiable functions defined in closed sets’, Trans. Amer. Math. Soc. 36 (1934), 63–89.
Whitney, H.: ‘Differentiable functions defined in arbitrary subsets of Euclidean space’, Trans. Amer. Math. Soc. 40 (1936), 309–317.
Levi, E.E.: Mem. Soc. Itali XL 16 (1909), 3–112.
Giraud, G.: ‘Sur le probleme de Dirichlet généralise’, Ann. Sci. Ecole Norm. Sup. 46 (1929), 131–245.
Giraud, G.: ‘Sur certains problèmes non-linéaires de Neumann et sur certains problemes non-linéaires mixtes’, Ann. Sci. Ecole Norm. Sup. 49 (1932), 1–104.
Giraud, G.: ‘Sur certains problemes non-lineaires de Neumann et sur certains problemes non-lineaires mixtes’, Ann. Sci. Ecole Norm. Sup. 49 (1932), 245–309.
Gevrey, M.: ‘Les quasi-fonctions de Green et les systèmes d’equations aux dérivées partielles du type elliptique’, Ann. Sci. Ecole Norm. Sup. 52 (1935), 39–108.
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).
Kudryavtsev, L.D.: Trudy Mat. Inst. Steklov. 55 (1956).
Uspenskiĭ, S.V.: ‘Inclusion and extension theorems for a class of functions’, Siberian Math. J. 7, no. 1 (1966), 154–161.
Sibirsk. Mat. Zh.7, no. 1 (1966), 192–199)
UspenskiI, S.V.: ‘Embedding and extension theorems for one class of functions II’, Siberian Math. J. 7, no. 2 (1966), 333–342.
Sibirsk. Mat. Zh.7, no. 2 (1966), 409–418)
Burenkov, N.I. and Gol’dman, M.L.: ‘On extension of Lp-functions’, Proc. Steklov Inst. Math. 150 (1967), 33–54.
Trudy Mat. Inst. Steklov.150 (1979), 31–51).
Griffiths, P.A. and King, J.: ‘Nevanlinna theory and holomorphic mappings between algebraic varieties’, Acta. Math. 130 (1973), 145–220.
Kobayashi, S.: Hyperbolic manifolds and holomorphic mappings, M. Dekker, 1970.
Harvey, R.: ‘Holomorphic chains and their boundaries’, in Proc. Symp. Pure Math., Vol. 30, Amer. Math. Soc., 1977, pp. 309–382.
A1] Chirka, E.M.: Complex analytic sets, Kluwer, 1989 (translated from the Russian).
Sibony, N.: ‘Quelques problèmes de prolongement de courants en analyse complexe’, Duke Math. J. 52 (1985), 157–197.
Siu, Y.T.: Techniques of extension of analytic objects, M. Dekker, 1974.
Siu, Y.T.: ‘Analyticity of sets associated to Lelong numbers and the extension of closed positive currents’, Inv. Math. 27 (1974), 53–156.
Grassmann, H.: Gesammelte mathematische undphysikalische Werke, 1, Teubner, 1894–1896, Chapt. 1; 2.
Mal’tsev, A.I.: Foundations of linear algebra, Freeman, 1963 (translated from the Russian).
Kaluzhnin, L.A.: Introduction to general algebra, Moscow, 1973 (in Russian).
Bourbaki, N.: Elements of mathematics. Algebra: Multilinear algebra, Addison-Wesley, 1966, Chapt. 2 (translated from the French).
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wesley, 1975, Chapt.4;5;6 (translated from the French).
Hodge, W.V.D. and Pedoe, D.: Methods of algebraic geometry, 1–3, Cambridge Univ. Press, 1947–1954.
Finikov, S.P.: Cartan’s method of exterior forms in differential geometry, 1–3, Moscow-Leningrad, 1948 (in Russian).
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Chevalley, C.: The construction and study of certain important algebras, Math. Soc. Japan, 1955.
Smirnov, V.L: A course of higher mathematics, 4, Addison- Wesley, 1964 (translated from the Russian).
Wladimirow, W.S. [V.S. Vladimirov]: Gleichungen der mathematischen Physics, Deutsch. Verlag Wissenschaft., 1973 (translated from the Russian).
Kupradze, V.D.: Randwertaufgaben der Schwingungstheorie und Integralgleichungen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Kupradze, V.D.: The method of potentials in elasticity theory, Moscow, 1963 (in Russian).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
A1] Tichonoff, A.N. [A.N. Tikhonov] and Samarskiĭ, A.A.: Differentialgeleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
John, F.: Partial differential equations, Springer, 1971.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
A4] Petrowski, I.G. [I.G. Petrovskiĭ]: Vorlesungen uber partielle Differentialgeleichungen, Teubner, 1965 (translated from the Russian).
Schneider, R.: ‘Boundary structure and curvature of convex bodies’, in J. Tölke and J.M. Wills (eds.): Contributions to geometry, Birkhäuser, 1979.
Bliss, G.A.: Lectures on the calculus of variations, Chicago Univ. Press, 1947.
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic optimal control, Springer, 1975.
A2] Gel’fand, I.M. and Fomin, S.V.: Calculus of variations, Prentice-Hall, 1963 (translated from the Russian).
Weinstock, R.: Calculus of variations, McGraw-Hill, 1952.
Bliss, G.A.: Lectures on the calculus of variations, Chicago Univ. Press, 1947.
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Akhiezer, N.I.: The calculus of variations, Blaisdell, 1962 (translated from the Russian).
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic optimal control, Springer, 1975.
A2] Gel’fand, I.M. and Fomin, S.V.: Calculus of variations, Prentice-Hall, 1963 (translated from the Russian).
A3] Courant, R. and Hilbert, D.: Methods of mathematical physics, 1–2, Interscience, 1953–1962.
Ahlfors, L.V. and Beurling, A.: ‘Conformal invariants and function-theoretic null-sets’, Acta Math. 83 (1950), 101v129.
Jenkins, J.: Univalent functions and conformal mappings, Springer, 1958.
Ahlfors, L.V.: Lectures on quasiconformal mappings, v. Nos- trand, 1966.
Jenkins, J.A.: ‘On the existence of certain general extremal metrics, Ann. of Math. 66, no. 3 (1957), 440–453.
Kuz’mina, G.V.: Moduli of families of curves and quadratic differentials, Amer. Math. Soc., 1982 (translated from the Russian).
Hersch, J.: ‘Longeurs extremales et theorie des fonctions’, Comment. Math. Helv. 29, no. 4 (1955), 301–337.
Tamrazov, P.M.: ‘A theorem of line integrals for extremal length’, Dokl. Akad. Nauk Ukrain. SSSR 1 (1966), 51–54 (in Ukrainian; English summary).
FUGLEDE, B.: ‘Extremal length and functional completion’, Acta Math. 98 (1957), 171–219.
SHABAT, B.V.: ‘The modulus method in space’, Soviet Math. Dokl. 1, no. 1 (1960), 165–168. (Dokl. Akad. Nauk SSSR 130, no. 6 (1960), 1210–1213 )
SYCHEV, A.V.: Moduli and quasi-conformal mappings in space, Novosibirsk, 1983 (in Russian).
GOLUZIN, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
JENKINS, J.: Univalent functions and conformal mappings, Springer, 1958.
TAMRAZOV, P.M.: ‘Some extremal problems in conformal mapping’, Math. USSR-Sb. 2, no. 1 (1967), 85–109.Mat. Sb.72, no. 1 (1967), 59–71).
TAMRAZOV, P.M.: ‘Some extremal problems in conformal mapping’, Math. USSR-Sb. 2, no. 1 (1967), 85–109.Mat. Sb.72, no. 1 (1967), 59–71).
TAMRAZOV, P.M.: ‘On the general coefficient theorem’, Math. USSR-Sb. 1, no. 1 (1967), 49–59.Mat. Sb.73, no. 1 (1968), 97–125).
TAMRAZOV, P.M.: ‘On the general coefficient theorem’, Math. USSR-Sb. 1, no. 1 (1967), 49–59.Mat. Sb.73, no. 1 (1968), 97–125).
TAMRAZOV, P.M.: ‘Supplement to the paper ‘Some extremal problems in conformal mapping’’, Trudy Tomsk. Gos. Univ. 210, no. 6 (1969), 111–118 (in Russian).
KUZ’MINA, G.V.: Moduli of families of curves and quadratic differentials, Amer. Math. Soc., 1982 (translated from the Russian).
JENKINS, J.A.: ‘On the existence of certain general extremal metrics’, Ann. of Math. 66, no. 3 (1957), 440–453.
JENKINS, J.A.: ‘On some span theorems’, Illinois J. Math. 7, no. 1 (1963), 104–117.
TAMRAZOV, P.M.: ‘Theorems on covering of lines under conformal mapping’, Mat. Sb. 66, no. 4 (1965), 502–524 (in Russian).
SYCHEV, A.V.: Moduli and quasiconformal mappings in space, Novosibirsk, 1983 (in Russian).
RODIN, B.: ‘The method of extremal length’, Bull. Amer. Math. Soc. 80, no. 4 (1974), 587–606.
AHLFORS, L.V.: Conformal invariants. Topics in geometric function theory, McGraw-Hill, 1973.
POMMERENKE, Ch.: Univalent functions, Vandenhoeck & Ruprecht, 1975.
ALEKSEEV, V.M., TIKHOMIROV, V.M. and FOMIN, S.V.: Optimal control, Consultants Bureau, 1987 (translated from the Russian).
BEĭKO, I.V., BUBLIK, B.N. and ZIN’KO, P.N.: Methods and algorithms for the solution of optimization problems, Kiev, 1983 (in Russian).
BUTKOVSKĭI, A.G.: Methods of control by means of systems with distributed parameters, Moscow, 1975 (in Russian).
VASIL’EV, F.P.: Numerical method for solving extremal problems, Moscow, 1980 (in Russian).
VASIL’EV, F.P.: Methods for solving extremal problems, Moscow, 1981 (in Russian).
EVTUSHENKO, Yu.G.: Numerical optimization techniques, Optimization Software, 1985 (translated from the Russian).
EGOROV, A.I.: Optimal control by means of thermal and diffusion processes, Moscow, 1978 (in Russian).
KRASOVSKIĭ, N.N.: Theory of control by motion, Moscow, 1968 (in Russian).
LIONS, J.L.: Optimal control of systems governed by partial differential equations, Springer, 1971 (translated from the French).
POLYAK, B.T.: Introduction to optimization, Moscow, 1983 (in Russian).
CÉA, J.: Lectures on optimization: theory and algorithms, Springer, 1978.
SIRAZETDINOV, T.K.: Optimization of systems with distributed parameters, 1977 (in Russian).
TIKHONOV, A.N. and ARSENIN, V.YA.: Solutions of illposed problems, Winston, 1977 (translated from the Russian).
FEDORENKO, R.P.: Approximate solution of problems of optimal control, Moscow, 1978 (in Russian).
EKELAND, I. and TÉMAN, R.: Analyse convexe et problemes variationnels, Dunod, 1974.
BRYSON, A.E. and HO, Y.-C.: Applied optimal control, Hemisphere, 1975.
EDGE, E.R. and POWERS, W.F.: ‘Function-space quasi- Newton algorithms for optimal control problems with bounded controls and singular arcs’, J. Optimization Theory and Appl. 20 (1976), 455–479.
WELL, K.H.: ‘Uebungen zu den optimale Steuerungen’, in Syllabus of the course ‘Optimierungsverfahren’ of the Carl Cranz Geselschaft, Oberpfaffenhofen, FRG, 1983.
JACOBSON, D.H. and LELE, M.M.: ‘A transformation technique for optimal control problems with a state variable constraint’, IEEE Trans. Automatic Control 14, no. 5 (1969).
MAURER, H.: ‘An optimal control problem with bounded state variables and control appearing linearly’, SI AM J. Control Optimization 15 (1977), 345–362.
BERTSEKAS, D.P.: Constrained optimization and Lagrange multiplier methods, Acad. Press, 1982.
FALB, P.L. and Jong, J.L. de: Some successive approximation methods in control and oscillation theory, Acad. Press, 1969.
BERNSHTEĭN, S.N.: Leçons sur les propriétés extrémales et la meilleure approximation des fonctions analytiques d’une variable réelle, Chelsea, reprint, 1970 (translated from the Russian).
VILENKIN, N.Ya.: Special functions and the theory of group representations, Amer. Math. Soc., 1968 (translated from the Russian).
HARDY, G.H., Littlewood, J.E. and PÓlya, G.: Inequalities, Cambridge Univ. Press, 1952.
BECKENBACH, E.F. and BELLMAN, R.: Inequalities, Springer, 1961.
MITRINOVIČ, D.S.: Analytic inequalities, Springer, 1970 ( Translated from the Servo-Croatian).
KORNEĭCHUK, N.P.: Extremal problems in approximation theory, Moscow, 1976 (in Russian).
TIKHOMIROV, V.M.: Some questions in approximation theory, Moscow, 1976 (in Russian).
NIKOL’SKIĭ, S.M.: Quadrature formulas, Moscow, 1979 (in Russian).
AHLBERG, J.H., NIELSON, E. and WALSH, J.: The theory of splines and its applications, Acad. Press, 1967.
SHAPIRO, H.S.: Topics in approximation theory, Springer, 1971.
CHEBYCHEV, P.L.: Oeuvres, 1-2, Chelsea, reprint, No date.
BERNSHTEĭN, S.N.: Lečons sur les propriétés extrémales de la meilleure approximation des fonctions analytiques d’une variable réelle, Chelsea, reprint, 1970 (translated from the Russian).
GONCHAROV, V.L.: The theory of interpolation and approximation of functions, Moscow, 1954 (in Russian).
ACHIEZER, N.I. [N.I. AKHIEZER]: Theory of approximation, F. Ungar, 1956 (translated from the Russian).
VORONOVSKAYA, E.V.: The functional method and its applications, Amer. Math. Soc., 1970 (translated from the Russian).
TIKHOMIROV, V.M.: Some questions in approximation theory, Moscow, 1976 (in Russian).
CHENEY, E.W.: Introduction to approximation theory, Chelsea, reprint, 1982.
NATANSON, I.P.: Constructive function theory, 1–3, F. Ungar, 1964–1965 (translated from the Russian).
RIVLIN, T.J.: The Chebyshev polynomials, Wiley, 1974.
SHAPIRO, H.S.: Topics in approximation theory, Springer, 1971.
LORENTZ, G.G.: Approximation of functions, Holt, Rinehart & Winston, 1966.
GEL’FAND, I.M. and FOMIN, S.V.: Calculus of variations, Prentice-Hall, 1963 (translated from the Russian).
ARKHANGEL’SKIĭ, A.v. and PONOMAREV, V.L: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
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Hazewinkel, M. (1989). E. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5994-1_2
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