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Differential Forms and Applications /
The book treats differential forms and uses them to study some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiabl...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1994.
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| Series: | Universitext.
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| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- 1. Differential Forms in Rn
- 2. Line Integrals
- 3. Differentiable Manifolds
- 4. Integration on Manifolds; Stokes Theorem and Poincaré's Lemma
- 1. Integration of Differential Forms
- 2. Stokes Theorem
- 3. Poincaré's Lemma
- 5. Differential Geometry of Surfaces
- 1. The Structure Equations of Rn
- 2. Surfaces in R3
- 3. Intrinsic Geometry of Surfaces
- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse
- 1. The Theorem of Gauss-Bonnet
- 2. The Theorem of Morse
- References.