Suitable for advanced undergraduates and graduate students, this volume presents a mathematical introduction to thermodynamics and statistical mechanics. Prerequisites include a familiarity with probability theory, real analysis, and the basics of Newtonian mechanics. The three-part approach covers thermodynamics, the fundamentals of statistical mechanics, and a detailed treatment of some model applications.
The text stresses the role of convexity in thermodynamics and provides simple results related to convex functions in the one-dimensional case. The approach to statistical mechanics is based on quantum mechanics and large-deviation theory, which receive a detailed examination. The final part's analysis of model systems includes the Ising model, the mean-field lattice gas, the free electron gas, Chandrasekhar's theory of white dwarf stars, bosons with interaction, and a simple model for superconductivity. Each section concludes with a set of problems, for which complete solutions appear at the end. Helpful appendixes on mathematical probability theory, quantum mechanics, and superconductivity conclude the text.
"synopsis" may belong to another edition of this title.
"About this title" may belong to another edition of this title.
(No Available Copies)
Search Books: Create a WantCan't find the book you're looking for? We'll keep searching for you. If one of our booksellers adds it to AbeBooks, we'll let you know!
Create a Want