Mathematical Foundations Of Statistical Mechanics | A. Ya. Khinchin
Share on TelegramMathematical Foundations Of Statistical Mechanics
User Rating: Be the first one!
Author: A. Ya. Khinchin
Added by: mirtitles
Added Date: 2021-12-05
Publication Date: 1949
Subjects: soviet, physics, mathematics, statistical mechanics, ensemble, distributions, geometry of phase space, liouville theorem, birkhoff theorem, ergodic problem, manifolds, theory of probability, central limit theorem, monoatomic gas, foundations of thermodynamics, thermodynamic functions, sum functions
Collections: mir-titles, additional collections
Pages Count: 300
PPI Count: 300
PDF Count: 1
Total Size: 100.54 MB
PDF Size: 4.01 MB
Extensions: epub, pdf, gz, html, zip, torrent
Downloads: 2.96K
Views: 52.96
Total Files: 16
Media Type: texts
Description
The present book considers as its main task to make the reader familiar with the mathematical treatment of statistical mechanics on the basis of modem concepts of the theory of probability and a maximum utilization of its analytic apparatus. The book is written, above all, for the mathematician, and its purpose is to introduce him to the problems of statistical mechanics in an atmosphere of logical precision, outside of which he cannot assimilate and work, and which, unfortunately, is lacking in the existing physical expositions.
The only essentially new material in this book consists in the systematic use of limit theorems of the theory of probability for rigorous proofs of asymptotic formulas without any special analytic apparatus. The few existing expositions which intended to give a rigorous proof to these formulas, were forced to use for this purpose special, rather cumbersome, mathematical ma chinery. We hope, however, that our exposition of several other questions (the ergodic problem, properties of entropy, intramolecular correlation, etc.) can claim to be new to a certain extent, at least in some of its parts.
