Symphic geometry: methods and applications. 2nd edition, processed and supplemented. Fomenko a

A textbook, which is based on a course of lectures, which was given by the author at the Faculty of Mechanical and Mathematics, is devoted to issues at the junction of classical mechanics, the theory of Hamilton systems and symple geometry. The main attention is focused on the analysis of completely integrated hamilton systems, algebro-geometric methods for their integration, as well as on the analysis of topological and geometric obstacles to complete integration. A number of questions of a special nature are dismantled (Euler's equations on algebrah, the properties of the integrals of Hamilton systems, etc.).