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...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2023, 2023
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Edition: | 1st ed. 2023 |
Series: | Springer Undergraduate Mathematics Series
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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