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5 de dic. de 2021 · 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.
Mathematical Foundations of Statistical Mechanics. The translation of this important book brings to the English-speaking mathematician and mathematical physicist a thoroughly up-to-date...
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 pr
10 de dic. de 2020 · Preface -- Introduction -- Geometry and kinematics of the phase space -- Ergodic problem -- Reduction to the problem of the theory of probability -- Application of the central limit theorem -- Ideal monatomic gas -- The foundation of thermodynamics -- Dispersion and the distributions of sum functions -- Appendix -- Notations -- Index.
Mathematical Foundations of Statistical Mechanics (Dover Books on Mathematics) First Edition. The translation of this important book brings to the English-speaking mathematician and mathematical physicist a thoroughly up-to-date introduction to statistical mechanics.
This paper addresses the question of how we should regard the probability distributions introduced into statistical mechanics. It will be argued that it is problematic to take them either as purely …
Statistical mechanics presents two fundamental problems for mathematics: (1) the so-called ergodic problem, that is the problem of a rigorous justification of replacement of time-
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