Intro -- Foreword -- Preface -- References -- Contents -- 1 The Constitutive Statements of Thermodynamics -- 1.1 First and Second Law -- 1.1.1 First Law of Thermodynamics -- 1.1.2 Second Law of Thermodynamics -- 1.2 Massieu Potentials -- 1.2.1 The β,V Potential ΨF (Free Entropy) -- 1.2.2 The E,π Potential ΨH -- 1.2.3 The β,π Potential ΨG -- 1.2.4 The β,V,α Massieu Grand Potential -- 1.3 Common Thermodynamic Potentials -- 1.3.1 The S,V Internal Energy E -- 1.3.2 The T,V Helmholtz Free Energy F -- 1.3.3 The S,P Enthalpy H -- 1.3.4 The T,P Gibbs Free Energy G -- 1.3.5 The T,V,µ, Grand Potential -- References -- 2 Minimal Mechanical Model of Thermodynamics -- 2.1 A Particle in a 1D Box -- 2.1.1 Remarks -- 2.2 Helmholtz Theorem -- 2.3 First Encounter with Ergodicity and the Microcanonical Ensemble -- 2.4 Non-uniqueness of Integrating Factors -- 2.5 Examples and Applications -- 2.5.1 Thermodynamics of a Harmonic Oscillator -- 2.5.2 The Peculiar Thermodynamics of a Log-Oscillator -- 2.5.3 Particle in a Double Well Potential -- References -- 3 The Microcanonical Ensemble -- 3.1 Many-Body Model of Thermodynamics -- 3.2 Remarks on Ergodicity -- 3.2.1 Metric Indecomposability -- 3.2.2 The Invariant Measure -- 3.3 Properties of |