The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint.Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories.The book may be considered as a self-contained text and only presupposes that readers are acquainted with linear and multilinear algebra as well as advanced calculus.
- ISBN10 0444880178
- ISBN13 9780444880178
- Publish Date 1 January 1989
- Publish Status Out of Print
- Out of Print 12 February 1993
- Publish Country US
- Imprint North-Holland
- Format Hardcover
- Pages 482
- Language English