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
0444880178, 9780444880178, 9780080872698
LCC
QA641 .L43 1989
Language
english
Format
DJVU
Filesize
2 MB (2220024 bytes)
Series
North-Holland mathematics studies 158
Pages
ii-v, 1-483\495
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26
Математика;Топология;Дифференциальная геометрия и

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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