Methods of Differential Geometry in Analytical Mechanics
( Volume 158 )
Publication series ：Volume 158
Author： León M. de;Rodrigues P. R.
Publisher： Elsevier Science
Publication year： 2011
E-ISBN: 9780080872698
P-ISBN(Paperback): 9780444880178
P-ISBN(Hardback): 9780444880178
Subject： O186.1 differential geometry
Language： ENG
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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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