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Kolmogorov’s Heritage in Mathematics

Overview of attention for book
Cover of 'Kolmogorov’s Heritage in Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 The youth of Andrei Nikolaevich and Fourier series
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    Chapter 2 Kolmogorov’s contribution to intuitionistic logic
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    Chapter 3 Some aspects of the probabilistic work
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    Chapter 4 Infinite dimensional Kolmogorov equations
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    Chapter 5 From Kolmogorov’s theorem on empirical distribution to number theory
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    Chapter 6 Kolmogorov’s ε-entropy and the problem of statistical estimation
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    Chapter 7 Kolmogorov and topology
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    Chapter 8 Geometry and approximation theory in A. N. Kolmogorov’s works
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    Chapter 9 Kolmogorov and population dynamics
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    Chapter 10 Resonances and small divisors
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    Chapter 11 The KAM Theorem
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    Chapter 12 From Kolmogorov’s Work on entropy of dynamical systems to Non-uniformly hyperbolic dynamics
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    Chapter 13 From Hilbert’s 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov’s Superposition Theorem
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    Chapter 14 Kolmogorov Complexity
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    Chapter 15 Algorithmic Chaos and the Incompressibility Method
Attention for Chapter 13: From Hilbert’s 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov’s Superposition Theorem
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Chapter title
From Hilbert’s 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov’s Superposition Theorem
Chapter number 13
Book title
Kolmogorov’s Heritage in Mathematics
Published by
Springer Berlin Heidelberg, February 2016
DOI 10.1007/978-3-540-36351-4_13
Book ISBNs
978-3-54-036349-1, 978-3-54-036351-4
Authors

Vasco Brattka

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 1 33%
Unknown 2 67%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 100%
Readers by discipline Count As %
Mathematics 3 100%

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