Methods of differential geometry in analytical mechanics [electronic resource] / Manuel de León, Paulo R. Rodrigues.
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 tan...
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| Online Access: |
Full Text (via ScienceDirect) |
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| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
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.
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| Series: | North-Holland mathematics studies ;
158. |
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| 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. |
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| Physical Description: | 1 online resource (x, 483 pages) |
| Bibliography: | Includes bibliographical references (pages 457-469) and index. |
| ISBN: | 9780444880178 0444880178 9780080872698 0080872697 |
| Source of Description, Etc. Note: | Source of description: Print version record. |