This talk deals with analytical methods in statistical mechanics. It's
goal is to give a deductive presentation of the statistical mechanics of
nonequilibrium systems based on BBGKY hierarchy studying - description of
the evolution of states - as well as to treat the basic principles of
interplay of statistical mechanic systems with the classical mechanics. A
compact pesentation was prefered wherever possible. The matherial is made
as understandable as possible by inclusion of the mathematical steps and a
detailed presentation of some intermediate culculations.