The textbook is written in accordance with the current standards of physical specialties of universities and is intended both to support the development of the lecture course, and for independent work. In the presentation of fundamental issues, the traditional methodological approach is used, the novelty of the textbook is determined primarily by the selection of material and updating the internal logic of the course. Stronger links between mechanics and other branches of theoretical physics from atomic physics to plasma physics to solid state physics and cosmology The share of mechanics of a continuous environment in the course, which became its organic part, due to the transition from the mechanics of systems of material points to the mechanics of systems of a large number of particles (gasodynamics with elements of thermodynamics), with access to the phenomenology of the continuum, has been increased. On this basis, the mechanics of ideal and viscous gases and liquids, elastic and unsustainable solids . are presented. The last chapter of the textbook presents an overview of the actual directions of modern mechanics of complex systems - hereditary mechanics, mesomechanics, fractional differential mechanics, nonlinear dynamics, etc. Despite the attraction of such mathematical means , as functional derivatives, Derivative Orders , Non-linear , integral and integro-differential equations, The book is written at , level. Available for students of physical and engineering specialties of universities , and can be used in the study of the initial section of the course of theoretical physics.