| Titre : | Manifolds and differential geometry |
| Auteurs : | Lee, Jeffrey Marc, Auteur |
| Type de document : | texte imprimé |
| Editeur : | Rhode Island [États-Unis] : American mathematical society, 2009 |
| Collection : | Graduate studies in mathematics, num. 107 |
| ISBN/ISSN/EAN : | 978-0-8218-4815-9 |
| Format : | XIV, 671 p. / ill. / 27 cm |
| Note générale : | Bibliogr. p. 663-666. - Index |
| Langues : | Anglais |
| Index. décimale : | 514.7 (Géométrie différentielle. Méthodes algébriques et analytiques en géométrie ) |
| Tags : | Geometry, Differential Topological manifolds Riemannian manifolds Géométrie différentielle Variétés topologiques Riemann, Variétés de |
| Résumé : | Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology. |
| Note de contenu : |
Summary :
1. Differentiable manifolds 2. The tangent structure 3. Immersion and submersion 4. Curves and hypersurfaces in Euclidean space 5. Lie groups 6. Fiber bundles 7. Tensors 8. Differential forms 9. Integration and Stokes' theorem 10. De Rham cohomology 11. Distributions and Frobenius' theorem 12. Connections and covariant derivatives 13. Riemannian and semi-Riemannian geometry 14. The language of category theory 15. Topology 16. Some calculus theorems 17. Modules and multilinearity |
Exemplaires (1)
| Cote | Support | Localisation | Section | Disponibilité | Etat_Exemplaire |
|---|---|---|---|---|---|
| 514.7 LEE | Papier | Bibliothèque Centrale | Mathématiques | Disponible | Consultation sur place |
