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Selected Works of A. N. Kolmogorov

Volume I: Mathematics and Mechanics

  • Editors
  • V. M. Tikhomirov

Part of the Mathematics and Its Applications (Soviet Series) book series (MASS, volume 25)

Table of contents

  1. Front Matter
    Pages iii-xix
  2. V. M. Tikhomirov
    Pages 10-12
  3. V. M. Tikhomirov
    Pages 13-14
  4. V. M. Tikhomirov
    Pages 40-68
  5. V. M. Tikhomirov
    Pages 69-73
  6. V. M. Tikhomirov
    Pages 74-75
  7. V. M. Tikhomirov
    Pages 87-94
  8. V. M. Tikhomirov
    Pages 95-96
  9. V. M. Tikhomirov
    Pages 100-143
  10. V. M. Tikhomirov
    Pages 144-146
  11. V. M. Tikhomirov
    Pages 151-158
  12. V. M. Tikhomirov
    Pages 159-160
  13. V. M. Tikhomirov
    Pages 161-180
  14. V. M. Tikhomirov
    Pages 194-195
  15. V. M. Tikhomirov
    Pages 206-213
  16. V. M. Tikhomirov
    Pages 221-225
  17. V. M. Tikhomirov
    Pages 226-228
  18. V. M. Tikhomirov
    Pages 232-233
  19. V. M. Tikhomirov
    Pages 234-235
  20. V. M. Tikhomirov
    Pages 236-238
  21. V. M. Tikhomirov
    Pages 239-241
  22. V. M. Tikhomirov
    Pages 324-327

About this book

Introduction

The Praesidium of the USSR Academy of Sciences has decided to publish three volumes of Selected Works of A.N. Kolmogorov, one of the most prominent mathematicians of the 20th century. The creative work of A.N. Kolmogorov is exceptionally versatile. In his studies on trigonometric and orthogonal series, theory of measure and inte­ gral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in­ formation theory, many conceptual and fundamental problems were solved and new questions were posed which gave rise to a great number of investigations. A.N. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of basic results, with many applications to mechanics, geophysics, linguistics, biology and other branches of knowledge. This edition includes the most important papers by A.N. Kolmogorov on mathematics and natural science. It does not include philosophical and ped­ agogical studies of A.N. Kolmogorov, his articles written for the "Bol'shaya Sov'etskaya Entsiklopediya", papers on prosody and various applications of mathematics and publications on general questions. The material of this edition was selected and grouped by A.N. Kolmogorov.

Keywords

Mathematica classical mechanics dynamical systems dynamics mechanics turbulence

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-3030-1
  • Copyright Information Kluwer Academic Publishers 1991
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-5347-1
  • Online ISBN 978-94-011-3030-1
  • Series Print ISSN 0169-6378
  • Buy this book on publisher's site
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