Differentiable manifolds
Lawrence Conlon.
2nd ed.
Boston : Birkhäuser, ©2008.
xii, 418 págs. : ilustraciones ; 24 cm.
Serie: Modern Birkhäuser classics
ISBN: 9780817647667
"Reprint of the 2001 2nd ed."
Originally published in the series: Birkhäuser advanced texts.
Incluye referencias bibliográficas (p. [403]-404) e índice.
Reseña: MathSciNet, 2009d:58001
Contenido
- 1. Topological Manifolds
- 2. The Local Theory of Smooth Functions
- 3. The Global Theory of Smooth Functions
- 4. Flows and Foliations
- 5. Lie Groups and Lie Algebras
- 6. Covectors and 1-Forms
- 7. Multilinear Algebra and Tensors
- 8. Integration of Forms and de Rham Cohomology
- 9. Forms and Foliations
- 10. Riemannian Geometry
- 11. Principal Bundles
- Appendix A. Construction of the Universal Covering
- Appendix B. Inverse Function Theorem
- Appendix C. Ordinary Differential Equations
- Appendix D. The de Rham Cohomology Theorem.
