Methods of Differential Geometry in Analytical Mechanics

 
9780444558275: Methods of Differential Geometry in Analytical Mechanics
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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.

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D.E. Betounes
I would assess this book...as being fairly good and would recommend it for providing a nice compilation of much of the recent research in the area.
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9780444880178: Methods of Differential Geometry in Analytical Mechanics (North-Holland Mathematics Studies)

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ISBN 10:  0444880178 ISBN 13:  9780444880178
Publisher: North Holland, 1989
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