Giles R. Mathematical Foundations of Thermodynamics

Oxford—London—New York—Paris: Pergamon Press, 1964. — XIV + 237 p. — (International series of monographs on pure and applied mathematics. General Editors: I.N. Sneddon, M. Stark and S. Ulam. Vol. 53).The book may appeal to several categories of reader: to physicists who are not entirely satisfied with the logical basis of their subject, to mathematicians who may be interested to discover a novel application of pure mathematics, and to philosophers who will find here not only a statement of a well-defined philosophical approach to physical theory but the explicit formulation of a theory in accordance with this approach.Fundamental Concepts
Formal Processes
Components of Content
Irreversibility
Mechanical Systems and Adiabatic Processes
Entropy
Thermodynamic Space
Equilibrium States and Potential
Perfect Equilibrium States
Thermodynamics of a Rigidly Enclosed System
Systems of Variable Volume
Electric and Magnetic Systems
Galilean Thermodynamics
Symmetry in Thermodynamics
Special Relativistic Thermodynamics
Appendix
The Formal Theory
Subadditive Functions on a Group
The Physical Basis for the Adjoint RepresentationSymbol IndexAnnotated bibliography on thermodynamics and statisticall mechanics