The book is a rigorous, holistic and compact presentation of the main problems and methods of theoretical mechanics. It differs significantly from existing textbooks on theoretical mechanics both in the selection of material and in the method of its presentation. The main attention is paid to the consideration of the most meaningful and valuable for theory and applications sections of dynamics and methods of analytical mechanics; statics is studied as a section of dynamics, and in the section of kinematics the general foundations of the kinematics of the system are discussed in detail; some methodological ideas are new in educational literature. For students of mechanical and mathematical faculties of universities, as well as for university students studying in the specialty "Mechanics" and "Applied Mathematics", teachers of mechanics, graduate students.