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Kolmogorov's heritage in mathematics

Author: A N Kolmogorov; Éric Charpentier; Annick Lesne; N K Nikolʹskiĭ
Publisher: Berlin ; New York : Springer, ©2007.
Edition/Format:   Print book : 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: Festschriften
History
Named Person: A N Kolmogorov; A N Kolmogorov; Andrej N Kolmogorov
Document Type: Book
All Authors / Contributors: A N Kolmogorov; Éric Charpentier; Annick Lesne; N K Nikolʹskiĭ
ISBN: 9783540363491 3540363491
OCLC Number: 123434375
Description: viii, 317 pages : illustrations ; 24 cm
Contents: The youth of Andrei Nikolaevich and Fourier series / Jean-Pierre Kahane --
Kolmogorov's contribution to intuitionistic logic / Thierry Coquand --
Some aspects of the probabilistic work / Loïc Chaumont, Laurent Mazliak, Marc Yor --
Infinite-dimensional Kolmogorov equations / Giuseppe Da Prato --
From Kolmogorov's theorem on empirical distribution to number theory / Kevin Ford --
Kolmogorov's (epsilon)-entropy and the problem of statistical estimation / Mikhail Nikouline, Valentin Solev --
Kolmogorov and topology / Victor M. Buchstaber --
Geometry and approximation theory in A.N. Kolmogorov's works / Vladimir M. Tikhomirov --
Kolmogorov and population dynamics / Karl Sigmund --
Resonances and small divisors / Étienne Ghys --
The KAM Theorem / John H. Hubbard --
From Kolmogorov's work on entropy of dynamical systems to non-uniformly hyperbolic dynamics / Denis V. Kosygin, Yakov G. Sinai --
Prom Hilbert's 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov's Superposition Theorem / Vasco Brattka --
Kolmogorov complexity / Bruno Durand, Alexander Zvonkin --
Algorithmic chaos and the incompressibility method / Paul Vitanyi.
Other Titles: Héritage de Kolmogorov en mathématiques.
Responsibility: Éric Charpentier, Annick Lesne, Nikolaï K. 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 Kolmogorov."--Publisher's website.

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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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