Mathematical Foundations of Statistical Mechanics

by A. I. Khinchin

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Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include 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; and more.

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3 reviews
This book is quite challenging, but mostly because I don't know a lot about mathematics. If I knew more about grad and Lebesgue I suppose it would come out better. As I stand, I can't understand this book all that well, and I need to have a stepping stone for it. Sometimes being an autodidact is tough. No classes or anything really makes things complicated.

On the other hand, the book is written pretty well, it's mostly equations and text. Not a lot of pictures, it somewhat explains the units and symbols used, but I just don't have the background for it. Maybe if I revisit some Calculus and Linear Algebra and then come back to this book again.

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16 Works 558 Members
A. Y. Khinchin made significant contributions to probability theory, statistical physics, and several other fields. His elegant, groundbreaking work will prove of substantial interest to advanced undergraduates, graduate students, and professionals in the fields of statistics, probability, and operations research. Dover [2013] republication of the show more edition originally published by Charles Griffin Co., Ltd., London, and Hafner Publishing Company, New York, 1960. show less

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This author wrote more than one book with the translated titles reading 'Mathematical Foundations of ...' so please be careful when combining.

Classifications

Genres
Science & Nature, Nonfiction, General Nonfiction
DDC/MDS
519Natural sciences & mathematicsMathematicsProbabilities and applied mathematics
LCC
QC175 .K52SciencePhysicsPhysicsAtomic physics. Constitution and properties of matter
BISAC

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(3.88)
Languages
English
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Paper, Ebook
ISBNs
3
UPCs
1
ASINs
2