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...

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Other Authors: Charpentier, Éric., Lesne, Annick., Nikolʹskiĭ, N. K., SpringerLink (Online service)
Format: eBook
Language: English
French
Published: Berlin ; New York : Springer, 2007.
Berlin ; New York : 2007.
Physical Description: 1 online resource (317 pages) : illustrations.
Subjects:
Table of Contents:
  • 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.