Methods of statistical physics - Tanaka, Tomoyasu (Cambridge University Press, 2002)
Includes bibliographical references and index
Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 The laws of thermodynamics; 2 Thermodynamic relations; 3 The ensemble theory; 4 System Hamiltonians; 5 The density matrix; 6 The cluster variation method; 7 Infinite-series representations of correlation functions; 8 The extended mean-field approximation; 9 The exact Ising lattice identities; 10 Propagation of short range order; 11 Phase transition of the two-dimensional Ising model; Appendix 1 The gamma function; Appendix 2 The critical exponent in the tetrahedron approximation
This graduate-level textbook on thermal physics covers classical thermodynamics, statistical mechanics and its applications. The mathematical formulations are accessible and entirely self-contained. It is therefore the ideal companion text for graduate students studying courses on complex analysis, classical mechanics, classical electrodynamics, and quantum mechanics