Introduction to Smooth ManifoldsJohn M. Lee1. Smooth Manifolds
2. Smooth Maps
3. Tangent Vectors
4. Vector Fields
5. Vector Bundles
6. The Cotangent Bundle
7. Submersions, Immersions, and Embeddings
8. Submanifolds
9. Lie Group Actions
10. Embedding and Approximation Theorems
11. Tensors
12. Differential Forms
13. Orientations
14. Integration on Manifolds
15. De Rham Cohomology
16. The de Rham Theorem
17. Integral Curves and Flows
18. Lie Derivatives
19. Integral Manifolds and Foliations
20. Lie...
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