Cantitate/Preț
Produs
Total produse
Vezi coșul
Kolmogorov's Heritage in Mathematics de Eric Charpentier

Kolmogorov's Heritage in Mathematics

Editat de Eric Charpentier, Annick Lesne, Nikolaï K. Nikolski
en Limba Engleză Paperback – 14 oct 2010
A.N. Kolmogorov (Tambov 1903, 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.
Each chapter treats one of Kolmogorov's research themes, or a subject that was invented as a consequence of his discoveries. The authors present here his contributions, his methods, the perspectives he opened to us, the way in which this research has evolved up to now, along with examples of recent applications and a presentation of the modern prospects.
This book can be read by anyone with a master's (or even a bachelor's) degree in mathematics, computer science or physics, or more generally by anyone who likes mathematical ideas. Rather than presenting detailed proofs, the main ideas are described, and a bibliography for those who wish to understand the technical details.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 62889 lei  43-57 zile
  Springer Berlin, Heidelberg – 14 oct 2010 62889 lei  43-57 zile
Hardback (1) 63354 lei  43-57 zile
  Springer Berlin, Heidelberg – 29 aug 2007 63354 lei  43-57 zile

Preț: 62889 lei

Preț vechi: 73986 lei
-15% Nou

Puncte Express: 943
Preț estimativ în valută:
12036€ • 12502$ • 9997£

Carte tipărită la comandă

Livrare economică 03-17 februarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783642071652
ISBN-10: 3642071651
Pagini: 328
Ilustrații: VIII, 318 p. 38 illus.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.46 kg
Ediția:Softcover reprint of hardcover 1st ed. 2007
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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 ?-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.- From Hilbert’s 13th Problem to the theory of neural networks: constructive aspects of Kolmogorov’s Superposition Theorem.- Kolmogorov Complexity.- Algorithmic Chaos and the Incompressibility Method.

Recenzii

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 bachelor’s degree in mathematics, computer science or physics, and more generally, by those interested in mathematical ideas. … This impressive collection gives the reader an understanding of the depth and breadth of Kolmogorov’s contributions to mathematics. Each chapter includes a substantial list of references that invite further reading." (Elena Anne Marchisotto, MathDL, December, 2007)
"The object of Kolmogorov’s Heritage in Mathematics is to enable the general mathematical reader (educated to master’s level) to grasp something of Kolmogorov’s achievements. … I can judge, it is successful in its aim. … those mathematicians with a sense of history, who wish to place themselves within the general culture of mathematics, will find this book a worthy memorial to a great man." (T. W. Korner, SIAM reviews, Vol. 50 (4), December, 2008)

Textul de pe ultima copertă

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.
Each chapter treats one of Kolmogorov's research themes, or a subject that was invented as a consequence of his discoveries. His contributions are presented, his methods, the perspectives he opened to us, the way in which this research has evolved up to now, along with examples of recent applications and a presentation of the current prospects.
This book can be read by anyone with a master's (even a bachelor's) degree in mathematics, computer science or physics, or more generally by anyone who likes mathematical ideas. Rather than present detailed proofs, the main ideas are described. A bibliography is provided for those who wish to understand the technical details.
One can see that sometimes very simple reasoning (with the right interpretation and tools) can lead in a few lines to very substantial results.
The Kolmogorov Legacy in Physics was published by Springer in 2004 (ISBN 978-3-540-20307-0).

Caracteristici

Several world experts present one part of the mathematical heritage left to us by Kolmogorov Rather than present detailed proofs, the main ideas are described.