Methods of Differential Geometry in Analytical Mechanics
Manuel de León and Paulo R. Rodrigues (Eds.)
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.
Kateqoriyalar:
İl:
1989
Nəşriyyat:
North-Holland
Dil:
english
ISBN 10:
0080872697
ISBN 13:
9780444880178
Seriyalar:
North-Holland mathematics studies 158
Fayl:
DJVU, 2.12 MB
IPFS:
,
english, 1989