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...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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