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[ FreeCourseWeb ] Methods of Differential Geometry in Analytical Mechanics

Torrent: [ FreeCourseWeb ] Methods of Differential Geometry in Analytical Mechanics
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[ FreeCourseWeb.com ] Methods of Differential Geometry in Analytical Mechanics

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English | 483 pages | North Holland (January 15, 1989) | 0444880178 | PDF | 14.95 Mb
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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Added: 2019-10-16 11:04:37
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