Mathematical Foundations of Statistical Mechanics

A.Y. Khinchin, Gamow

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English

Dover Publications Inc.
01 June 1949

Mathematics & Sciences; Applied mathematics; Statistical physics

Series: Dover Books on Mathema 1.4tics

Summary
Details

"The translation of this important book brings to the English-speaking mathematician and mathematical physicist a thoroughly up-to-date introduction to statistical mechanics. It offers a precise and mathematically rigorous formulation of the problems of statistical mechanics, as opposed to the non-rigorous discussion presented in most other works. It provides analytical tools needed to replace many of the cumbersome concepts and devices commonly used for establishing basic formulae, and it furnishes the mathematician with a logical step-by-step introduction, which will enable him to master the elements of statistical mechanics in the shortest possible time. After a historical sketch, the author discusses the geometry and kinematics of the phase space, with the theorems of Liouville and Birkhoff; the ergodic problem (in the sense of replacing time averages by phase averages); the theory of probability; central limit theorem; ideal monatomic gas; foundation of thermodynamics, and dispersion and distribution of sum functions. """"An excellent introduction to the difficult and important discipline of Statistical Mechanics. It is clear, concise, and rigorous. There is a very good chapter on the ergodic theorem (with a complete proof!) and . . . a highly lucid chapter on statistical foundations of thermodynamics . . . useful to teachers . . . and to mathematicians.""""

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M. Kac, Quarterly of Applied Mathematics."

By: A.Y. Khinchin
Translated by: Gamow
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 212mm, Width: 132mm, Spine: 10mm
Weight: 222g
ISBN: 9780486601472
ISBN 10: 0486601471
Series: Dover Books on Mathema 1.4tics
Pages: 179
Publication Date: 01 June 1949
Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , A / AS level , Undergraduate
Format: Paperback
Publisher's Status: Unspecified