Andrei Nikolaevich Kolmogorov: In Memoriam
1990; Society for Industrial and Applied Mathematics; Volume: 34; Issue: 1 Linguagem: Inglês
10.1137/1134001
ISSN1095-7219
Autores Tópico(s)History of Computing Technologies
ResumoNext article Andrei Nikolaevich Kolmogorov: In MemoriamA. N. ShiryaevA. N. Shiryaevhttps://doi.org/10.1137/1134001PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Kolmogorov, Une serie de Fourier-Lebesgue divergente presque surtout, Fund. Math., 4 (1923), 324–328 Kolmogorov, Equation, Great Sov. Encycl., Vol. 56, 1936, 163–165 Kolmogorov, Properties of inequalities and the idea of approximate computations, Mathematics in Schools, 2 (1941), 1–12, Jointly with P. S. Aleksandrov Kolomogorov, What is a function?, Quantum, 1 (1970), 27–36 Kolmogorov, The rhythmics in Mayakovskii's poetry, Vopr. Yazykoznaniya, 3 (1962), 62–74, Jointly with A. M. Kondratov Kolmogorov, Present-day controversies on the nature of mathematics, Word of Science, 6 (1929), 41–54 Kolmogorov, A great Russian scholar and innovator: On the 150th birth anniversary of N. I. Lobachevski, Izvestiya, (1943), , November 2 Kolmogorov, An example of a Fourier–Lebesgue trigonometric series diverging almost everywhere, 1922, October 8 A. M. Abramov, The pedagogical legacy of A. N. Kolmogorov, Uspekhi Mat. Nauk, 43 (1988), 39–74 90a:01067 0661.01020 P. S. Aleksandrov and , A. Ya. Khinchin, Andrei˘ Nikolaevič Kolmogorov (for his fiftieth birthday), Uspehi Matem. Nauk (N.S.), 8 (1953), 177–200 (1 plate), (In Russian.) 15,90b 0050.00211 CrossrefGoogle Scholar[2] Kolmogorov, Sur l'ordre de grandeur des coéfficients de la série de Fourier-Lebesgue, Bull. Acad. Polon. Sci. Ser. A, (1923), 83–86 Kolmogorov, Continuum, Great Sov. Encycl., Vol. 34, 1937, 139–140 Kolmogorov, Irrational numbers, Mathematics in Schools, 3 (1941), 1–15, Jointly with P. S. Aleksandrov Kolomogorov, Problem No. 3, Quantum, 1 (1970), 52–53 Kolmogorov, On the study of Mayakovslii's rhythmics, Vopr. Yazykoznaniya, 4 (1963), 64–71 Kolmogorov, Contemporary Mathematics, The Face of Science and Engineering, 5/6 (1934), 25–28 Kolmogorov, The young lions of science, 1955, (On the scientific work of the students of Moscow University), Komsomol-skaya Pravda, May 15 Kolmogorov, On a possible general definition of derivative, integral and sum of a series, 1925, April 5 P. S. Aleksandrov and , A. Ya. Khinchin, Andrei˘ Nikolaevič Kolmogorov (for his fiftieth birthday), Uspehi Matem. Nauk (N.S.), 8 (1953), 177–200 (1 plate) 15,90b 0050.00211 T. V. Arak, On the rate of convergence in Kolmogorov's uniform limit theorem, Teor. Veroyatnost. i Primenen., 26 (1981), 225–245, English translation: Theory Probab. Appl., 26 (1981), pp. 219–239 83i:60019a 0458.60024 T. V. Arak, On the rate of convergence in Kolmogorov's uniform limit theorem. II, Teor. Veroyatnost. i Primenen., 26 (1981), 449–463, English translation: Theory Probab. Appl., 26 (1981), pp. 437–451 83i:60019b Google Scholar[3] Kolmogorov, Une contribution a l'étude de la convergence des séries de Fourier, Fund. Math., 5 (1924), 96–97 Kolmogorov, Andrei Andreevich Markov, Great Sov. Encycl., Vol. 38, 1938, 152–153 Kolmogorov, The body of mathematical knowledge for eight-year schools, Mathematics in Schools, 2 (1965), 21–24, (Committee on Mathematical Education of the Mathematics Section of the USSR Academy of Sciences) Kolomogorov, What is the graph of a function?, Quantum, 2 (1970), 3–13 Kolmogorov, On the “dol'nik” mode in contemporary Russian poetry: General properties, Vopr. Yazykoznaniya, 6 (1963), 84–95, Jointly with A. V. Prokhorov Kolmogorov, The Institute of Mathematics and Mechanics of Moscow University, The Face of Science and Engineering, 5/6 (1934), 75–78 Kolmogorov, School and the preparation of scientific personnel, Trud, (1958), , (On subjects discussed at the Central Committee of the Soviet Communist Party), December 10 Kolmogorov, On a Fourier series diverging everywhere, 1926, November 16 P. S. Aleksandrov and , B. V. Gnedenko, Kolmogorov as a teacher, Uspekhi Mat. Nauk, 18 (1963), 115–120 T. V. Arak and , A. Yu. Zaitsev, Uniform limit theorems for sums of independent random variables, Trudy Mat. Inst. Steklov., 174 (1986), 214–, Leningrad; English translation: Proc. Steklov Math. Inst., 174 (1988) 88m:60072 0606.60028 CrossrefGoogle Scholar[4] Kolmogorov, Sur la convergence des séries de Fourier, C.R. Acad. Sci. Paris Sér. Math., 178 (1924), 303–306, Jointly with G. A. Seliverstov Kolmogorov, Mathematics, Great Sov. 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Veroyatnost. i Primenen., 28 (1983), 333–353, English translation: Theory Probab. Appl., 28 (1983), pp. 351–374 84k:60041a 0517.60023 Google Scholar[5] Kolmogorov, La définition axiomatique de l'intégrale, C.R. Acad. Sci. Paris Sér. Math., 180 (1925), 110–111 Kolmogorov, Mathematical induction, Great Sov. Encycl., Vol. 38, 1938, 405–406 Kolmogorov, On the content of a school mathematics course, Mathematics in Schools, 4 (1965), 53–62, Jointly with I. M. Yaglom Kolomogorov, On the solution of Hilbert's tenth problem, Quantum, 7 (1970), 39–44, Jointly with F. L. Varpakhovskii Kolmogorov, On the "dol'nik" mode in contemporary Russian poetry: A statistical characterization of the “dol'nik” of Mayakovskii, Bagritskii and Akhmatova, Vopr. Yazykoznaniya, 1 (1964), 75–94, Jointly with A. V. Prokhorov Kolmogorov, Contemporary mathematics, A Collection of Articles on the Philosophy of Mathematics, ONTI, Moscow, 7–13 Kolmogorov, Into a good track, 1968, (On the development of mathematics and the preparation of personnel), Pravda, September 8 Kolmogorov, A generalization of Chebyshev's theorem, 1927, December 6 P. S. Aleksandrov, , E. B. Dynkin and , I. G. Petrovskii, Laureate of the Balzan prize (Academician A. N. Kolmogorov.), Pravda, Moscow, 1963, June 9 T. V. Arak, Approximation of n-fold convolutions of distributions, having a nonnegative characteristic function, with accompanying laws, Teor. Veroyatnost. i Primenen., 25 (1980), 225–246, English translation: Theory. Prob. Appl., 25 (1980), pp. 221–243 82a:60023 0444.60015 Google Scholar[6] Kolmogorov, Sur les bornes de la généralisation de l' intégrale, 1925, A. N. Kolmogorov, Selected Works, Nauka, Moscow, 1985. (In Russian.) Kolmogorov, Measure, Great Sov. 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Encycl., Vol. 43, 1939, 342–344 Kolmogorov, On a scholastic definition of identity, Mathematics in Schools, 2 (1966), 33–35 Kolomogorov, Mathematics as a profession, Quantum, 4 (1973), 12– Kolmogorov, On the roots of classical Russian metricsThe Cooperation of the Sciences and the Mysteries of Creativity, Iskusstvo, Moscow, 1968, 397–432, Jointly with A. V. Prokhorov. Kolmogorov, Nikolai Ivanovich Lobachevskii (1793–1843), Gostekhizdat, Moscow–Leningrad, 1943, Jointly with P. S. Aleksandrov Kolmogorov, The Moscow Mathematics Society, Pravda, 1964, (Jointly with A. G. Kurosh), October 19, (Moscow edition.) Kolmogorov, On the geometric ideas of Plucker and Klein, 1932, December 11 D. V. Anosov, On the work of A. N. Kolmogorov and V. I. Arnol'd, who received the Lenin Prize in 1965, Mat. v. Shkole, 1 (1966), 7–12 S. N. Bernstein, Principes de la theorie des equations differentielles stochastiques, Trudy Mat. Inst. Akad. 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Arnold, Some thoughts about Andrei˘ Nikolaevich Kolmogorov, Uspekhi Mat. Nauk, 43 (1988), 37– 90c:01054 S. N. Bernstein, Probability Theory, Gostekhizdat, Moscow, 1946, (In Russian.) Google Scholar[10] Kolmogorov, Über Konvergenz von Reihen, deren Glieder durch den Zufall bestimmt werden, Mat. Sb., 32 (1925), 668–677, Jointly with A. Ya. Khinchin Kolmogorov, The development of mathematics in the Soviet Union, Great Sov. Encycl., Vol. 45, 1947, 1318–1323, “USSR” vol. Kolmogorov, On textbooks for the 1966–67 academic year, Mathematics in Schools, 6 (1966), 31–37 Kolomogorov, Groups of transformations, Quantum, 10 (1976), 2–5 Kolmogorov, An analysis of the metric structure of A. S. Pushkin's poem “Arion,”Problems in Prosody, Nauka, Leningrad, 1984, 118–120 Kolmogorov, The role of Russian science in the development of probability theoryThe Role of Russian Science in the Development of World Science and Culture, Vol. 1, Moscow Univ. Press, Moscow, 1947, 53–64, (Uchen. Zap. Moskov. Univ., 91.) Kolmogorov, The waste in sturdy book covers, Izvestiya, (1965), , (On the output of literature according to economical–mathematical methods), January 24 Kolmogorov, On supplementary information, 1934, December 11 N. N. Bogolyubov, , B. V. Gnedenko and , S. L. Sobolev, Andrei˘ Nikolaevich Kolmogorov (on the occasion of his 80th birthday), Uspekhi Mat. Nauk, 38 (1983), 11–26, English translation: Russian Math. Surveys, 38 (1983), pp. 9–27 85g:01024 0526.01024 A. Blanc-Lapierre and , Robert Fortet, Théorie des fonctions aléatoires. Applications à divers phénomènes de fluctuation, Masson et Cie, Paris, 1953xvi+693, Libraire de l'Académie de Medicine 15,883d Google Scholar[11] Kolmogorov, Sur la convergence des séries de Fourier, Atti Accad. Naz. Lincei Rend., 3 (1926), 307–310, Jointly with G. A. Seliverstov Kolmogorov, Average values, Great Sov. 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Butyagin, The outstanding scholars at Moscow University (On the awarding of Stalin Prizes), Teacher's News, (1941), , March 16 A. A. Borovkov, Boundary problems, the invariance principle and large deviations, Uspekhi Mat. Nauk, 38 (1983), 227–254, English translation: Russian Math. Surveys, 38 (1983), pp. 259–260 85d:60066 0533.60026 Google Scholar[13] Kolmogorov, Sur la loi des grands nombres, C.R. Acad. Sci. Paris Sér. Math., 185 (1927), 917–919 Kolmogorov, Absolute geometry, Great Sov. Encycl., Vol. 1, 1949, 33– Kolmogorov, New curricula and some basic questions on improving the program of mathematics in secondary schools, Mathematics in Schools, 2 (1967), 4–13 Kolomogorov, The dialectic-materialistic world outlook in school mathematics courses, Quantum, 4 (1980), 15–18 Kolmogorov, Introductory article and commentsComplete Collected Works of N. I. Lobachevskii, Vol. 5, Gostekhizdat, Moscow–Leningrad, 1951, 329–332; 342; 348, Jointly with A. N. Khovanskii Kolmogorov, Revision of the school mathematics program, Teacher's News, (1967), , February 14 Kolmogorov, On the differential properties of functions of two variables, 1937, April 22 The last journey, 1987, Pravda, October 24 David R. Brillinger, Time series, Holt, Rinehart and Winston, Inc., New York, 1975xii+500, Data Analysis and Theory 56:1627 0321.62004 Google Scholar[14] Kolmogorov, Sur le convergence des séries de fonctions orthogonales, Math. Z., 26 (1927), 432–441, Jointly with D. E. Men'shov Kolmogorov, Jacques Hadamard, Great Sov. Encycl., Vol. 1, 1949, 388– Kolmogorov, The content of elective studies in mathematics for the academic years of 1967–68 and 1968–69, Mathematics in Schools, 2 (1967), 33–38 Kolomogorov, An Introduction to Probability Theory, (No. 23, “Quantum” series), Nauka, Moscow, 1982, Jointly with I. G. Zhurbenko and A. V. Prokhorov Kolmogorov, Mathematics as a Profession: A Guide to Matriculants of Institutions of Higher Learning, Soviet Science, 1952 Kolmogorov, A joy to experience peace, 1968, (In connection with the start of the school year), Pravda, September 1 Kolmogorov, Development of mathematical methods in the Soviet Union for obtaining knowledge about Nature (differential and integral equations and probability theory), 1937, November 10 The last journey, 1987, Izvestiya, October 25 N. Weiner, Extrapolation, Interpolation and Smoothing of Stationary Time Series, MIT Press, Cambridge, 1949 CrossrefGoogle Scholar[15] Kolmogorov, On set operations, Mat. Sb., 35 (1928), 414–422, (In Russian.) Kolmogorov, Additive quantities, Great Sov. Encycl., Vol. 1, 1949, 394– Kolmogorov, Syllabi of special courses in mathematics, Mathematics in Schools, 3 (1967), 73–75 Kolomogorov, Mathematics: a Science and Profession, (No. 64, “Quantum” series), Nauka, Moscow, 1988, Compiled by G. A. Gal'perin. Kolmogorov, Probability theoryMathematics, Its Content, Methods and Meaning, Vol. 2, USSR Academy of Sciences Press, Moscow, 1956, 252–284 Kolmogorov, How to cultivate talents, Teacher's News, (1971), , (On the functioning of the physics and mathematics school at Moscow University), October 28 Kolmogorov, Discussion of the plan to compile a new textbook on elementary algebra. (With P. S. Aleksandrov and A. N., Kolmogorov). Two meetings, 1937, November 22 and 28 Outstanding sucesses of Soviet mathematicians (On the awarding of Stalin Prizes), 1941, Pravda, April 14 V. A. Volkonskii and , Yu. A. Rozanov, Some limit theorems for random functions. I, Teor. Veroyatnost. i Primenen, 4 (1959), 186–207, English translation: Theory Probab. Appl., 4 (1959), pp. 178–197 21:4477 Google Scholar[16] Kolmogorov, Sur une formule limits de M. A. Khintchine, C.R. Acad. Sci. Paris Sér. Math., 186 (1928), 824–825 Kolmogorov, Axiom, Great Sov. 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