Methods of differential geometry in analytical mechanics [electronic resource] / Manuel de Le�on, Paulo R. Rodrigues.
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TextSeries: North-Holland mathematics studies ; 158.Publication details: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1989. Description: 1 online resource (x, 483 p.)ISBN: 9780444880178; 0444880178Subject(s): Geometry, Differential | Mechanics, Analytic | G�eom�etrie diff�erentielle | M�ecanique analytique | G�eom�etrie diff�erentielle | M�ecanique analytique | Geometry, Differential | Mechanics, AnalyticGenre/Form: Electronic books.Additional physical formats: Print version:: Methods of differential geometry in analytical mechanics.DDC classification: 531 LOC classification: QA641 | .L43 1989ebOnline resources: ScienceDirect | Volltext Summary: 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.
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.
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