Lectures on Differential Geometry I : Differentiable Manifolds

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Author(s):	Merry, Will J.
ISBN No.:	9783032037329
Pages:	x, 465
Year:	202512
Format:	Trade Cloth (Hard Cover)
Price:	$ 103.29
Dispatch delay:	Dispatched between 7 to 15 days
Status:	Available (Forthcoming)

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Table of contents
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Chapter 1. Smooth manifolds.- Chapter 2. Tangent spaces.- Chapter 3. Partition of unity.- Chapter 4. The derivative.

- Chapter 5. The tangent bundle.- Chapter 6. Submanifolds.- Chapter 7. The Whitney theorems.- Chapter 8. Vector fields.

- Chapter 9. Flows.- Chapter 10. Lie groups.- Chapter 11. The Lie algebra of a Lie group.- Chapter 12. Smooth actions of Lie groups.

- Chapter 13. Homogeneous spaces.- Chapter 14. Distributions and integrability.- Chapter 15. Foliations and the Frobenius theorem.- Chapter 16. Bundles.

- Chapter 17. The fibre bundle construction theorem.- Chapter 18. Associated bundles.- Chapter 19. Tensor and exterior algebras.- Chapter 20. Sections of vector bundles.

- Chapter 21. Tensor fields.- Chapter 22. The Lie derivative revisited.- Chapter 23. The exterior differential.- Chapter 24. Orientations and manifolds with boundary.

- Chapter 25. Smooth singular cubes.- Chapter 26. Stokes' theorem.- Chapter 27. The Poincaré lemma and the de Rham theorem.

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