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Selected Works III - Information Theory and the Theory of Algorithms (Paperback, 1st ed. 1993)
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Selected Works III - Information Theory and the Theory of Algorithms (Paperback, 1st ed. 1993)
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The creative work of Andrei N. Kolmogorov is exceptionally
wide-ranging. In his studies on trigonometric and orthogonal
series, the theory of measure and inte gral, 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 ped
agogical 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.
General
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