Russian Mathematicians in the 20th Century

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World Scientific, 2003 - Mathematics - 700 pages
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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 Poincar ; 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.
 

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Contents

Preface
1
Nikolai Nikolaevich Luzin
17
Vladimir Andreevich Steklov
37
Dmitrii Fedorovich Egorov
61
Sur les valeurs limites des fonctions analytiques Compt Rend Acad Sci Paris 188
76
Sur quelques problèmes de vibrations élastiques Compt Rend Acad Sci Paris 194
79
Pavel Samuilovich Urysohn
113
Nikolai Grigorievich Chebotaryov
141
Ivan Matveevich Vinogradov
189
Pavel Sergeevich Aleksandrov
223
Dmitrii Evgenevich Menshov
243

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