by David Ruelle (Institut des Hautes Études Scientifiques, France)

Preface to this Edition (348k)
Table of Contents (130k)
Chapter 1: Thermodynamic Behavior. Ensembles
Chapter 1.1: Thermodynamic Systems (248k)
Chapter 1.2: Classical Systems and Ensembles (386k)
Chapter 1.3: Quantum Systems and Ensembles (404k)
Chapter 1.4: Equilibrium States and Thermodynamic Functions (184k)

This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptual foundation provided by the Rigorous Results remains invaluable for the study of the spectacular developments of statistical mechanics in the second half of the 20th century.

• Thermodynamic Behavior. Ensembles
• The Thermodynamic Limit for Thermodynamic Functions: Lattice Systems
• The Thermodynamic Limit for Thermodynamic Functions: Continuous Systems
• Low Density Expansions and Correlation Functions
• The Problem of Phase Transitions
• Group Invariance of Physical States
• The States of Statistical Mechanics
• Appendix: Some Mathematical Tools