The manual provides the necessary information about the specialty "Mechanics", and its main disciplines - theoretical mechanics, aero-hydromechanics and mechanics of a deformable solid. The basic concepts and properties of material bodies, principles and methods of studying the movement and interaction of bodies in different states. are given. The history of the development of the science of mechanics from antiquity to the present day is considered Special attention is paid to modern problems of all components of mechanics. It is intended for students of mechanical and mathematical faculties of universities (specialties 'Mechanics', 'Applied Mathematics') and can be useful for specialists in the field of mathematical modeling of mechanical processes.