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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
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Genre/Form: 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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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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