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Title: Mathematical Foundations of Statistical Mechanics by Alexander I. Khinchin, George Gamow ISBN: 0-486-60147-1 Publisher: Dover Pubns Pub. Date: December, 1960 Format: Paperback Volumes: 1 List Price(USD): $8.95 |
Average Customer Rating: 5 (1 review)
Rating: 5
Summary: A beautiful work by a great writer and mathematician.
Comment: A Y Khinchin was one of the great mathematicians of the first half of the twentieth century. His name is is already well-known to students of probability theory along with A N Kolmogorov and others from the host of important theorems, inequalites, constants named after them. He was also famous as a teacher and communicator. The books he wrote on Mathematical Foundations of Information Theory, Statistical Mechanics and Quantum Statistics are still in print in English translations, published by Dover. Like William Feller and Richard Feynman he combines a complete mastery of his subject with an ability to explain clearly without sacrificing mathematical rigour.
In his "Mathematical Foundations" books Khinchin develops a sound mathematical structure for the subject under discussion based on the modern theory of probability. His primary reason for doing this is the lack of mathematically rigorous presentation in many textbooks on these subjects. I can remember the vague feeling of dissatisfaction I felt as a student with some of the mathematics in Frederick Reif's "Fundamentals of Statistical and Thermal Physics" and other texts. Khinchin's little book puts everything on a firm mathematical foundation and yet is very readble.
I liked all three of these books but I think I liked this one best. The English translation was done by the eminent physicist and writer George Gamow. Nicely typeset in modern notation with index. This book is also a real bargain.
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Title: The Principles of Statistical Mechanics by Richard C. Tolman ISBN: 0486638960 Publisher: Dover Pubns Pub. Date: 01 February, 1980 List Price(USD): $15.95 |
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Title: Mathematical Foundations of Quantum Statistics by A. Y. Khinchin ISBN: 0486400255 Publisher: Dover Pubns Pub. Date: 12 March, 1998 List Price(USD): $8.95 |
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Title: An Introduction to Statistical Thermodynamics by Terrell L. Hill ISBN: 0486652424 Publisher: Dover Pubns Pub. Date: 01 January, 1987 List Price(USD): $15.95 |
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Title: Statistical Mechanics : Principles and Applications by Terrell L. Hill ISBN: 0486653900 Publisher: Dover Pubns Pub. Date: 01 July, 1987 List Price(USD): $19.95 |
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Title: Mathematical Foundations of Information Theory by A. Ya. Khinchin ISBN: 0486604349 Publisher: Dover Pubns Pub. Date: 01 June, 1957 List Price(USD): $7.95 |
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