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I Foundations of Thermodynamics.- 1. An Outline of Thermodynamical Structure.- 2. Foundations of Continuum Thermodynamics.- 3. Foundations of the Clausius-Duhem Inequality.- 4. Recent Research on the Foundations of Thermodynamics.- 5. A Third Line of Argument in Thermodynamics.- 6. The Laws of Thermodynamics for Non-Cyclic Processes.- II The Thermodynamics of Gibbs and Carathéodory.- What Did Gibbs and Carathéodory Leave Us About Thermodynamics?.- 8. Structure and Dynamical Stability of Gibbsian States.- 9. Genericity and Gibbs’s Conjecture on the Maximum Number of Coexistent Phases.- III Special Material Systems.- 10. Thermodynamics and the Constitutive Relations for Second Sound in Crystals.- 11. Interstitial Working and a Nonclassical Continuum Thermodynamics.- 12. Phase Transformations and Non-Elliptic Free Energy Functions.- 13. Dynamic Changes of Phase in a van der Waals Fluid.

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