Methods of Differential Geometry in Analytical Mechanics
M. de León, P.R. Rodrigues
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.
Categorie:
Anno:
1989
Casa editrice:
Elsevier Science Ltd
Lingua:
english
Pagine:
495
ISBN 10:
0444880178
ISBN 13:
9780444880178
Collana:
Mathematics Studies
File:
PDF, 13.84 MB
IPFS:
,
english, 1989