Lecture notes of the course Analysis On Manifolds
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| 2-tangentbdl.tex | ||
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| 4-vectorfields.tex | ||
| 5-vectorbdl.tex | ||
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| 8-differentialforms.tex | ||
| 9-cohomology.tex | ||
| 10-integration.tex | ||
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Lecture notes of the course Analysis On Manifolds
You can find the latest PDF in the Releases.
Extra
Some freely accessible material, which could provide more pictures, different points of view and further developments of the material:
- A pictorial introduction to differential geometry leads to Maxwell's equations with three pictures
- Manifolds and differential forms has fantastic figures
- Discrete Differential Geometry by Keenan Crane is a beautiful introduction to differential geometry and its use in three-dimensional geometry processing
- Lectures on the geometry of manifolds by Liviu Nicolaescu go way beyond this course up until a discussion of elliptic operators and Dirac operators
- Lecture series by Frederic Schuller are high-quality lectures from the point of view of theoretical physics
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Feedback
Feel free to open issues or submit pull requests to improve the text, add more relevant references (especially if open access), or add more relevant content, and in this case don't forget to add yourself in the acknowledgements.