Cargando…
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 |
Tabla de Contenidos:
- 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.