## Russian Mathematicians in the 20th CenturyIn 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 |

### 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 Dirichlet dºu Egorov eigenvalues elements ensemble équations exists finite Florensky formula free topological algebra function functional analysis Gebiete geometry HMeet homomorphism IIIa incio inequality integral Lemma Leningrad linear Luzin Lyapunov manifold mapping Math mathematicians Menge Mengen Menshov method Mokho Moscow University Moxho natural numbers Nauk SSSR nombre normal algorithm number of solutions obtain operator polynomial proof proved Punkte pyhkuhh Raum Russian satisfying the condition Satz segment sequence Sobolev Soviet Steklov Steklov Mathematical Institute surfaces theorem theory tion topological algebra topological groups topological space topologischer touek Toukh trace class Trigonometric Trigonometric Sums Urysohn variables word zero