Russian Mathematicians In The 20th CenturyYakov Sinai In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union. |
Contents
1 | |
17 | |
Vladimir Andreevich Steklov | 37 |
Dimitrii Fedrovich Egorov | 61 |
Vladimir Ivanovich Smirnov | 71 |
Sergi Natanovich Bernstein | 83 |
Pavel Samuilovich Urysohn | 113 |
Nikolai Grigorievich Chebotaryov | 141 |
Ivan Georgievich Petrovsky | 413 |
Mark Grigorievich Krein | 455 |
Lazar Aronovich Liusternik | 469 |
Vladimir Abramovich Rokhlin | 497 |
Petr Sergeevich Novikov | 507 |
Nikolai Nikolaevich Bogoliubov | 519 |
Aleksandr Danilovich Aleksandrov | 529 |
Leonid Vitalyevich Kantorovich | 549 |
Ivan Matveevich Vinogradov | 189 |
Pavel Sergeevich Aleksandrov | 223 |
Dmitrii Evgenevich Menshov | 243 |
Aleksandr Osipovich Gelfond | 253 |
Aleksandr Yakovlevich Khinchin | 267 |
Andrey Nikolaevich Kolmogorov | 323 |
Lev Semenovich Pontryagin | 345 |
Israil Moiseevich Gelfand | 367 |
Sergei Lvovich Sobolev | 381 |
Anatoly Ivanovich Malcev | 559 |
Yuri Vladimirovich Linnik | 589 |
Andrei Andreyevich Markov | 599 |
Mikhail Alekseevich Lavrentev | 623 |
Andrei Nikolaevich Tikhonov | 633 |
Boris Nikolaevich Delone | 657 |
Mstislav Vsevolodovich Keldysh | 665 |
Dmitrii Konstantinovich Faddeev | 697 |
Other editions - View all
Russian Mathematicians in the 20th Century I͡Akov Grigorʹevich Sinaĭ,I︠A︡kov Grigorʹevich Sinaĭ No preview available - 2003 |
Common terms and phrases
A. A. Markov Academy of Sciences Akad Aleksandrov Alexandroff analytic arbitrary Bcex coefficients completely continuous convergence convex corresponding cycle defined denote differential equations dimension eclih ectb Egorov eigenvalues elements ensemble équations exists finite Florensky formula function functional analysis Gebiete geometry Hausdorff spaces Hayk HMeet homomorphism IIIa inequality integral Lemma Leningrad linear Luzin Lyapunov manifold mapping Math mathematicians mathematics Menge Mengen Menshov method Moscow University Moxho natural numbers Nauk SSSR nombre normal algorithm number of solutions obtain operator polynomial problem proof proved Punkte Raum Russian satisfying the condition Satz sequence Sobolev Soviet Steklov Steklov Mathematical Institute surfaces TakHM theorem theory tion topological algebra topological groups topological space topologischer Torna touek Toukh trace class Trigonometric Trigonometric Sums Urysohn zero