Methods of differential geometry in analytical mechanics /
Collection : North-Holland mathematics studies ; . 158 Détails physiques : 1 online resource (x, 483 pages) ISBN :9780444880178; 0444880178.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.
Includes bibliographical references (p. 457-469) and index.
Description based on print version record.
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