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.
- Differential Geometry.
- Almost Tangent Structures and Tangent Bundles.
- Structures on Manifolds.
- Connections in Tangent Bundles.
- Symplectic Manifolds and Cotangent Bundles.
- Hamiltonian Systems.
- Lagrangian Systems.
- Presymplectic Mechanical Systems. Appendices: A Brief Summary of Particle Mechanics in Local Coordinates. Higher Order Tangent Bundles. Generalities. Bibliography. Index.
- No. of pages:
- © North Holland 1989
- 1st January 1989
- North Holland
- eBook ISBN:
- Hardcover ISBN:
@from:D.E. Betounes @qu:I would assess this book...as being fairly good and would recommend it for providing a nice compilation of much of the recent research in the area. @source:Mathematical Reviews