PREFACE TO THE SECOND EDITION PREFACE TO THE FIRST EDITION HISTORICAL INTRODUCTION Notes Chapter 1 The Statistical Basis of Thermodynamics 1.1 The macroscopic and the microscopic states 1.2 Contact between statistics and thermodynamics:physical significance of the numberΩ(N,V,E) 1.3 Further contact between statistics and thermody namiscs 1.4 The classical ideal gas 1.5 The entropy of mixing and the Gibbs paradox 1.6 The “correct”enumeration of the microstates Problems Notes Chapter 2 Elements of Ensemble Theory 2.1 Phase space of a classical system 2.2 Liouville's theorem and its consequences 2.3 The microcanonical ensemble 2.4 Examples 2.5 Quantum states and the phase space Problems Notes Chapter 3 The Canonical Ensemble 3.1 Equilibrium between a system and a heat reservoir 3.2 A system in the canonical ensemble 3.3 Physical significance of the various statistical quantities in the canonical ensemble 3.4 A lternative expressions for the partition function 3.5 The classical systems 3.6 Energy fluctuations in the canonical ensemble:correspondence with the microcanonical ensemble 3.7 Two theorems-the“equipartition”and the“virial” 3.8 A system of harmonic oscillators 3.9 The statistics of paramsagnetism 3.10 Thermodynamica of magnetic systems:negative temperatures Problems Notes Chapter 4 The Grand Canonical Ensemble Chapter 5 Formulation of Quantum Statistics Chapter 6 The Theory of Simple Gases Chapter 7 Ideal Bose Systems Chapter 8 Ideal Fermi Systems Chapter 9 Statistical Mechanics of Interacting Systems:The Method of Cluster Expansions Chapter 10 Statistical Mechanics of Interacting Systems:The Method of Quantized Fields Chapter 11 Phase Transitions:Criticality,Universality and Scaling Chapter 12 Phase Transitions:Exact(or Almost Exact)Results for the Various Models Chapter 13 Phase Transitions:The Renormalization Group Approach Chapter 14 Fluctuations APPENDIXES BIBLIOGRAPHY INDEX