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Methods of Differential Geometry in Analytical Mechanics
M. de León, P.R. Rodrigues
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eBook - PDF
Methods of Differential Geometry in Analytical Mechanics
M. de León, P.R. Rodrigues
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About This Book
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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Information
Publisher
North HollandYear
2011ISBN
9780080872698