ENGLISH

Methods of Differential Geometry in Analytical Mechanics

By Manuel de León and Paulo R. Rodrigues (Eds.)

Book information

Publisher
North Holland
Year
1989
ISBN
9780444880178, 0444880178
ISSN
0304-0208
LCC
QA641 .L43 1989
Open Library ID
OL2197075M
Language
english
Format
DJVU
Filesize
5 MB (4802239 bytes)
Series
North-Holland Mathematics Studies 158
Pages
ii-v, 1-483\495
Scanned
no
Time added
2014-10-05 02:30:00

Description

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.

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