Mathematical methods of classical mechanics. 6th edition. Arnold V.I.

The book differs from the existing textbooks of mechanics more than it is usually accepted by a connection with modern mathematics. Particular attention is paid to the mutually enriching interaction of the ideas of mechanics and geometry of diversity.

In accordance with this approach, the central place in the book is not computing, but geometric concepts (phase spaces and flows, vector fields, groups) and their) and their Applications in specific mechanical situations (the theory of vibrations, a solid mechanics, Hamiltons Formalism). Much attention is paid to the qualitative methods of studying the movement as a whole, including asymptotic (the theory of disturbances, the methods of wasting, adiabatic invariants).

for students of universities and universities with an extended program in mathematics, as well as teachers and researchers.