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Manifolds and differential geometry /
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Catalogue Information
Field name
Details
Dewey Class
516.3/6
Title
Manifolds and differential geometry / ([EBook] ) / Jeffrey M. Lee.
Author
Lee, Jeffrey M. , 1956-
Publication
Providence, R.I. : : American Mathematical Society, , c2009.
Physical Details
1 online resource (xiv, 671 p. : ill.)
Series
Graduate studies in mathematics
; 107
ISBN
9781470411701 (online)
Contents note
Chapter 1. Differentiable manifolds: Chapter 2. The tangent structure: Chapter 3. Immersion and submersion: Chapter 4. Curves and hypersurfaces in Euclidean space: Chapter 5. Lie groups: Chapter 6. Fiber bundles: Chapter 7. Tensors: Chapter 8. Differential forms: Chapter 9. Integration and Stokes' theorem: Chapter 10. De Rham cohomology: Chapter 11. Distributions and Frobenius' theorem: Chapter 12. Connections and covariant derivatives: Chapter 13. Riemannian and semi-Riemannian geometry: Appendix A. The language of category theory: Appendix B. Topology: Appendix C. Some calculus theorems: Appendix D. Modules and multilinearity:
Mode of acces to digital resource
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://www.ams.org/gsm/107
See Also
https://doi.org/10.1090/gsm/107
Links to Related Works
Subject References:
Geometry, Differential
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Riemannian manifolds
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Topological manifolds
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Authors:
(Jeffrey Marc)
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Lee, Jeffrey M. 1956-
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Series:
Graduate studies in mathematics
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Classification:
516.3/6
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