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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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. |
| Subjects: |
MARC
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| 245 | 1 | 0 | |a Methods of differential geometry in analytical mechanics |h [electronic resource] / |c Manuel de León, Paulo R. Rodrigues. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1989. | ||
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| 490 | 1 | |a North-Holland mathematics studies ; |v 158. | |
| 504 | |a Includes bibliographical references (pages 457-469) and index. | ||
| 505 | 0 | |a Front Cover; Methods of Differential Geometry in Analytical Mechanics; Copyright Page; Contents; Preface; Chapter 1. Differential Geometry; Chapter 2. Almost tangent structures and tangent bundles; Chapter 3. Structures on manifolds; Chapter 4. Connections in tangent bundles; Chapter 5. Symplectic manifolds and cotangent bundles; Chapter 6. Hamiltonian systems; Chapter 7. Lagrangian systems; Chapter 8. Presymplectic mechanical systems; Appendix A.A brief summary of particle mechanics in local coordinates; Appendix B. Higher order tangent bundles. Generalities; Bibliography; Index. | |
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Geometry, Differential. |0 http://id.loc.gov/authorities/subjects/sh85054146. | |
| 650 | 0 | |a Mechanics, Analytic. |0 http://id.loc.gov/authorities/subjects/sh85082768. | |
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| 650 | 7 | |a Mechanics, Analytic. |2 fast |0 (OCoLC)fst01013485. | |
| 700 | 1 | |a Rodrigues, Paulo R. |0 http://id.loc.gov/authorities/names/n82112528 |1 http://isni.org/isni/0000000109113480. | |
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