This work describes the fundamental principles, problems, and methods of classical mechanics. The approach of the authors stresses the working apparatus of classical mechanics, rather than its physical foundations or applications. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensor invariants of equations of dynamics. Moreover, various other sections have been revised, added or expanded. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The EMS addresses all mathematicians, physicists and engineers.