Perspectives on statistical thermodynamics

Atomic picture of gases -- Introduction to probability -- Law of large numbers -- Maxwell's distribution -- Delta function and density distribution functions -- Mean free path and diffusion -- Introduction to transport phenomena -- Brownian motion -- Langevin equation and large deviation -- Basic thermodynamics -- Macrosystems in equilibrium -- Thermodynamic description -- Thermodynamics: general consequences -- Entropy through examples -- Free energy and convex analysis -- Introduction to statistical mechanics -- Statisticalmechanics of isothermal systems -- Canonical density operator -- Classical canonical ensemble -- Information and entropy -- Information and thermodynamics -- Oscillators at low temperatures -- How tomanipulate partial derivatives -- Thermodynamic stability -- Fluctuation and response -- Chemical potential -- Grand canonical ensemble -- Ideal quantumsystems at low temperatures -- Photons and internalmotions -- Phases and phase transitions -- Phase transition in d-space -- Critical phenomena and renormalization -- Mean field and transfer matrix -- Symmetry breaking -- First order phase transition

Notes bibliogr.

Introduction -- Atomic picture of gases -- Introduction to probability -- The law of large numbers -- Maxwell's distribution -- Delta function and density distribution functions -- Mean free path and diffusion -- Introduction to transport phenomena -- Brownian motion -- The Langevin equation and large deviation -- Macrosystems in equilibrium -- Thermodynamic description -- Basic Thermodynamics -- Thermodynamics: general consequences -- Entropy through examples -- Free energy and convex analysis -- Introduction to statistical mechanics -- Statistical mechanics of isothermal systems -- Canonical density operator -- Classical canonical ensemble -- Information and entropy -- Information and thermodynamics -- Oscillators at low temperatures -- How to manipulate partial derivatives -- Thermodynamic stability -- Fluctuation and response -- Chemical potential -- Grand canonical ensemble -- Ideal quantum systems at low temperatures -- Photons and internal motions -- Phases and phase transitions -- Phase transition in d-space -- Critical phenomena and renormalization -- Mean field and transfer matrix -- Symmetry breaking -- First-order phase transition.