The aim of this lecture is to explain basic concepts of quantum statistical mechanics, density matrix, and quantum partition function, ideal Bose and Fermi gases; Bose-Einstein condensation.

Quantum statistical mechanics and degenerate matter, ideal gas of quantum particles, Bose-gas and BE condensation, Ising model, general theory of equilibrium including phase transitions and critical phenomena, interacting particles, including non-ideal gases and ferromagnetism.