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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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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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Book Description North Holland, 2012. Condition: New. book. Seller Inventory # M0444558276
Book Description North Holland, 1989. Paperback. Condition: Brand New. 494 pages. 9.45x6.54x1.42 inches. This item is printed on demand. Seller Inventory # zk0444558276