An Introduction to Differential Manifolds
This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
|
| Edition: | 1st ed. 2015. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-20735-3 |
Table of Contents:
- Differential Calculus
- Manifolds: The Basics
- From Local to Global
- Lie Groups
- Differential Forms
- Integration and Applications
- Cohomology and Degree Theory
- Euler-Poincaré and Gauss-Bonnet.