Mathematical Foundations of Statistical Mechanics
A mathematical route into statistical mechanics
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AlbakiReads Editorial
A mathematical route into statistical mechanics
This 2014 facsimile reprint of the 1949 edition presents statistical mechanics through mathematical formulation and analysis. Its contents move from phase-space geometry and kinematics to the ergodic problem, probability theory, and the central limit theorem, then apply these ideas to an ideal monatomic gas and the foundations of thermodynamics. The closing material addresses dispersion and distributions of sum functions. The stated emphasis is on a logical, step-by-step introduction in mathematical terms, making the book’s scope especially clear: it connects probability methods with core problems in statistical mechanics. The source identifies A. Khinchin as a mathematician associated with the Soviet school of probability theory.
Good fit for readers who enjoy
- Mathematicians and physicists approaching statistical mechanics for the first time
- Readers interested in probability-theoretic foundations of mechanics and thermodynamics
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