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Kolmogorov's heritage in mathematics

Author: Éric Charpentier; Annick Lesne; N K Nikolʹskiĭ
Publisher: Berlin ; New York : Springer, 2007.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kolmogorov's heritage in mathematics.
Berlin ; New York : Springer, 2007
(OCoLC)123434375
Named Person: A N Kolmogorov; A N Kolmogorov
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Éric Charpentier; Annick Lesne; N K Nikolʹskiĭ
ISBN: 9783540363514 3540363513 9783540363491 3540363491
OCLC Number: 185022106
Notes: Essays.
Originally published: Berlin Edition, 2004.
Description: 1 online resource (317 pages) : illustrations
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.
Responsibility: Éric Charpentier, Annick Lesne, Nikolaï Nikolski (eds.).
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Abstract:

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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From the reviews: "Andrei N. Kolmogorov (1903-1987) was one of the most prolific and influential mathematicians of the twentieth century. ... this collection would be read by those who hold only a Read more...

 
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