Manifolds, Vector Fields, and Differential Forms An Introduction to Differential Geometry /
This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate l...
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| Автори: | , |
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| Співавтор: | |
| Формат: | Електронний ресурс eКнига |
| Мова: | Англійська |
| Опубліковано: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Редагування: | 1st ed. 2023. |
| Серія: | Springer Undergraduate Mathematics Series,
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| Предмети: | |
| Онлайн доступ: | https://doi.org/10.1007/978-3-031-25409-3 |
| Теги: |
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Зміст:
- 1. Introduction
- 2. Manifolds
- 3. Smooth maps
- 4. Submanifolds
- 5. Tangent spaces
- 6. Vector fields
- 7. Differential forms
- 8. Integration
- 9. Vector bundles
- Notions from set theory
- Notions from algebra
- Topological properties of manifolds
- Hints and answers to in-text questions
- References
- List of Symbols
- Index.