Selected Translations In Mathematical Statistics And Probability Vol 02

Author : A.N. Shiryayev
Publisher : Springer Science & Business Media
ISBN 13 : 902772797X
Total Pages : 618 pages
Book Rating : 4.0/5 (277 download)

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Download or read book Selected Works of A. N. Kolmogorov written by A.N. Shiryayev and published by Springer Science & Business Media. This book was released on 1992-02-29 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.