The Tragicomical History of Thermodynamics, 18221854 [Paperback]

1. The Producers Apology to the Spectators.- Notation.- Symbols Frequently Used.- 2. The Common Inheritance.- 2A The Thermal Equation of State.- 2B The Theory of Sound in Aeriform Fluids.- 2C The Doctrine of Latent and Specific Heats.- 3. Prologue: Laplace, Biot, and Poisson.- 3A Biot, and Poissons First Attempt.- 3B Critique of Biots Theory.- 3C Laplaces Theory of Sound and Heat.- 3D Poissons Second Treatment.- 3E Meikles Claim.- 3F Critique of Laplaces and Poissons Theories. Correction of Meikles Claim.- 4. Act I. Workless Dissipation: Fourier.- 4A Fouriers Predecessor: Biot.- 4B Fouriers Program.- 4C Fouriers Premisses Regarding Specific Heat and Temperature.- 4D Critique of Fouriers Premisses.- 4E Fouriers Concept of the Flux of Heat, and his General Differential Equation and Boundary Condition.- 4F Critique of Fouriers Concepts and Methods.- 4G Fouriers Theory of the Conduction of Heat in Fluids.- 4H Critique of Fouriers Theory of the Conduction of Heat in Fluids.- 4I Fouriers Bequest.- 5. Act II. Dissipationless Work: Carnot.- 5A The General Quality of Carnots Treatise.- 5B Standard Concepts and Assumptions Used by Carnot.- 5C The Carnot Cycle.- 5D Carnots Claim that Carnot Cycles Attain Maximum Efficiency.- 5E Formal Statement and Critique of Carnots Claim of Maximum Efficiency.- 5F Carnots Claim that the Efficiency of Carnot Cycles is Universal.- 5G Formal Statement and Elucidation of Carnots Claim of Universal Efficiency.- 5H Critique of Carnots Argument to Support Universal Efficiency.- 5I Carnots General and Special Axioms.- 5J Critique of Carnots General and Special Axioms. Scholia I-III. Carnots function.- 5K Carnots Treatment of his Cycle.- 5L Critique of Carnots Treatment of his Cycle. Scholion IV.- 5M Critique: Interconvertibility of Heat and Work as Implied by Carnots Theory. Proof that Carnots Cycles are Indeed the Most Efficient.- 5N Critique: Dimensional Invariance of Carnots Theory.- 5O Carnots Numerical Evalual³a