In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work ...

Mathematical Methods of Classical Mechanics 2010, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441930873

Softcover reprint of hardcover 2nd edition 1989


Mathematical Methods of Classical Mechanics 1978, Springer, New York, NY

ISBN-13: 9780387903149

1978 edition