- #31
jbergman
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Not really. Topology is more needed than hard analysis. I believe the Tu book has an appendix, though, that should be sufficient.MichaelBack12 said:
Best way to teach myself differential forms?
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SUMMARY
The discussion focuses on effective methods for self-teaching differential forms, emphasizing various resources including books and online courses. Key recommendations include F. W. Hehl and Y. N. Obkunov's "Foundations of Classical Electrodynamics" (Springer, 2003), Ted Shifrin's video lectures and notes, and Tristan Needham's recent book. Participants also highlight the importance of foundational knowledge in multivariate calculus and suggest supplementary materials such as "Div Grad and Curl are Dead" by William Burke and "Introduction to Manifolds" by Tu for deeper understanding.
PREREQUISITES- Familiarity with multivariate calculus
- Basic knowledge of linear algebra
- Understanding of topology concepts
- Exposure to classical electrodynamics
- Explore Ted Shifrin's video lectures on differential forms
- Read "Introduction to Manifolds" by Tu for foundational concepts
- Investigate "Applied Differential Geometry" by William Burke for advanced insights
- Study "Differential Geometry" by Lee for a comprehensive understanding of the subject
Students and professionals in physics and engineering, particularly those looking to enhance their understanding of differential forms and their applications in electromagnetism and geometry.
- #32
mathwonk
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here is another free set of lectures from a mathematician who tried to present forms to his undergraduates in an unsophisticated way:
https://www.math.purdue.edu/~arapura/preprints/diffforms.pdf
https://www.math.purdue.edu/~arapura/preprints/diffforms.pdf
- #33
martinbn
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When I saw the name of the author I expected to is an intro to differential forms in algebraic geometry, but it is actually a nice introduction to differential forms for someone with basic calculus knowledge.mathwonk said:
- #34
mathwonk
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well, (cough, cough) algebraic geometers are famous for knowing everything.
(maybe make that needing to know.)
(maybe make that needing to know.)
- #35
martinbn
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So, what Mumford said in the preface of his Curves and Their Jacobians book was not a joke.mathwonk said:well, (cough, cough) algebraic geometers are famous for knowing everything.
(maybe make that needing to know.)
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