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Methods of differential geometry in analytical mechanics /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
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.
|
| Colección: | North-Holland mathematics studies ;
158. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Le�on, Manuel de, |d 1953- | |
| 245 | 1 | 0 | |a Methods of differential geometry in analytical mechanics / |c Manuel de Le�on, 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. | ||
| 300 | |a 1 online resource (x, 483 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 158 | |
| 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. | ||
| 504 | |a Includes bibliographical references (pages 457-469) and index. | ||
| 588 | 0 | |a Print version record. | |
| 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. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Mechanics, Analytic. | |
| 650 | 6 | |a G�eom�etrie diff�erentielle. |0 (CaQQLa)201-0001184 | |
| 650 | 6 | |a M�ecanique analytique. |0 (CaQQLa)201-0023814 | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a Geometry, Differential |2 fast |0 (OCoLC)fst00940919 | |
| 650 | 7 | |a Mechanics, Analytic |2 fast |0 (OCoLC)fst01013485 | |
| 650 | 7 | |a G�eom�etrie diff�erentielle. |2 ram | |
| 650 | 7 | |a M�ecanique analytique. |2 ram | |
| 700 | 1 | |a Rodrigues, Paulo R. | |
| 776 | 0 | 8 | |i Print version: |a Le�on, Manuel de, 1953- |t Methods of differential geometry in analytical mechanics. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1989 |z 0444880178 |z 9780444880178 |w (DLC) 89016766 |w (OCoLC)19975472 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 158. | |
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| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=158 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/158 |z Texto completo |