Foundations of quantum statistical mechanics -- Elementary examples -- Quantum statistical master equation -- Quantum kinetic equations -- Quantum irreversibility -- Entropy and dissipation: the microscopic theory -- Global equilibrium: thermostatics and the microcanonical ensemble -- Bose-Einstein ideal gas condensation -- Scaling, renormalization and the Ising model -- Relativistic covariant statistical mechanics of many particles -- Quantum optics and damping -- Entanglements -- Quantum measurement and irreversibility -- Quantum Langevin equation and quantum Brownian motion -- Linear response: fluctuation and dissipation theorems -- Time-dependent quantum Green's functions -- Decay scattering -- Quantum statistical mechanics, extended -- Quantum transport with tunneling and reservoir ballistic transport -- Black hole thermodynamics -- Problems.