Best way to teach myself differential forms?

[jbergman]

Do you think I need an analysis course before reading either book?

Not really. Topology is more needed than hard analysis. I believe the Tu book has an appendix, though, that should be sufficient.

 

[mathwonk]

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

 

[martinbn]

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

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]

well, (cough, cough) algebraic geometers are famous for knowing everything.
(maybe make that needing to know.)

 

[martinbn]

well, (cough, cough) algebraic geometers are famous for knowing everything.
(maybe make that needing to know.)

So, what Mumford said in the preface of his Curves and Their Jacobians book was not a joke.