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...
| Опубликовано в: : | Springer eBooks |
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| Главный автор: | |
| Соавтор: | |
| Формат: | Электронная книга |
| Язык: | English |
| Публикация: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Редактирование: | 1st ed. 2015. |
| Предметы: | |
| Online-ссылка: | http://dx.doi.org/10.1007/978-3-319-20735-3 Перейти в каталог НБ ТГУ |
Оглавление:
- 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.