A monograph by scientists from the GDR is devoted to the methods of quantum statistical physics used in calculating the equilibrium, kinetic and optical properties of gas plasma and solid state plasma. The first part of the book sets out the basic physical ideas about the properties of macroscopic systems of charged particles, the second describes specific applications of the methods under consideration to the calculations of the properties of various systems of charged particles. For specialists in the theory of gas plasma and solid state plasma, as well as for graduate students and students.