Methods of Differential Geometry in Analytical Mechanics

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Methods of Differential Geometry in...

Methods of Differential Geometry in Analytical Mechanics

Name: Methods of Differential Geometry in Analytical Mechanics
ISBN: 9780444880178

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

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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:

Mathematics

Anno:

1989

Casa editrice:

North-Holland

Lingua:

english

ISBN 10:

0080872697

ISBN 13:

9780444880178