Download EBOOK Mathematical Foundations of Statistical Mechanics PDF for free
 
Category: Science & Geography
The author of the book: A. Y. Khinchin
Format files: PDF, EPUB, TXT, DOCX
The size of the: 819 KB
Language: English
ISBN13: 9780486601472
Edition: Dover Publications Inc.
Date of issue: 7 August 1999

Description of the book "Mathematical Foundations of Statistical Mechanics":
The translation of this important book brings to the Englishspeaking mathematician and mathematical physicist a thoroughly uptodate introduction to statistical mechanics.
It offers a precise and mathematically rigorous formulation of the problems of statistical mechanics, as opposed to the nonrigorous 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 stepbystep introduction, which will enable him to master the elements of statistical mechanics in the shortest possible time.
After a historical PDF 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 ePub . . . and to mathematicians." вЂ• M. Kac, "Quarterly of Applied Mathematics. "
Reviews of the Mathematical Foundations of Statistical Mechanics
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A. Y. Khinchin
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