Statistical Mechanics

Part 1. Thermodynamics. 1. The Zeroth Law. 2. The First law. 3. Differentials. 4. The Second law. 5. Thermal Engines and Refrigerators. 6. The Fundamental Equation. 7. Convexity. 8. Thermodynamic Potentials. 9. Phase Transitions. 10. Magnetism. 11. The Refrigerator and Liquefaction of Gases. 12. Examples of Phase Transitions. 13. Equations of State for Solids. 14. Applications in Chemistry. 15. Black-body Radiation. 16. The Big Bang. 17. The Constitution of Stars. Part 2. Fundamentals of Statistical Mechanics. 18. Quantum Mechanics. 19. Non-interacting Localized Spins. 20. Large Deviation Theory. 21. The Paramagnet Revisited. 22. Identical Localized Free Particles. 23. Quantum Gases. 24. Ensembles. 25. Existence of the Thermodynamic Limit. 26. Large Deviations for the Energy Density. part 3. models in Statistical Mechanics. 27. A Simple Model for Rubber. 28. The Ising Model. 29. The Weiss-Ising Model. 30. The Mean-Field Lattice Gas. 31. Metals and Electron Gas. 32. White-Dwarf Stars. 33. Phonons. 34. Boson Condensation and Liquid Helium. 35. Superconductivity. 36. Mayer Expansion for a Classical Gas. 37. Cluster Expansion and Polymer Models.