Kolmogorov's heritage in mathematics
A.N. Kolmogorov (b. Tambov 1903, d. Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imaginat...
| Other Authors: | Charpentier, Éric., Lesne, Annick., Nikolʹskiĭ, N. K., SpringerLink (Online service) |
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| Format: | eBook |
| Language: | English French |
| Published: |
Berlin ; New York :
Springer,
2007.
Berlin ; New York : 2007. |
| Physical Description: |
1 online resource (317 pages) : illustrations. |
| Subjects: |
| Summary: |
A.N. Kolmogorov (b. Tambov 1903, d. Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imagination, and which astounded his contemporaries, he changed drastically the landscape of the subject. Most mathematicians prove what they can, Kolmogorov was of those who prove what they want. For this book several world experts were asked to present one part of the mathematical heritage left to us by K. |
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| Item Description: |
Includes bibliographical references. Front Matter; The youth of Andrei Nikolaevich and Fourier series; Kolmogorov's contribution to intuitionistic logic; Some aspects of the probabilistic work; Infinite dimensional Kolmogorov equations; From Kolmogorov's theorem on empirical distribution to number theory; Kolmogorov's e-entropy and the problem of statistical estimation; Kolmogorov and topology; Geometry and approximation theory in A.N. Kolmogorov's works; Kolmogorov and population dynamics; Resonances and small divisors; The KAM Theorem; From Kolmogorov's Work on entropy of dynamical systems to Non-uniformly hyperbolic dynamics. A.N. Kolmogorov (b. Tambov 1903, d. Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imagination, and which astounded his contemporaries, he changed drastically the landscape of the subject. Most mathematicians prove what they can, Kolmogorov was of those who prove what they want. For this book several world experts were asked to present one part of the mathematical heritage left to us by K. University staff and students only. Requires University Computer Account login off-campus. |
| Physical Description: |
1 online resource (317 pages) : illustrations. |
| Bibliography: |
Includes bibliographical references. |
| ISBN: |
9783540363514 3540363513 9783540363491 3540363491 |
| Access: |
University staff and students only. Requires University Computer Account login off-campus. |