Earlier quoted context omitted.
> Enough of you care about this to vote it to the front page? Possibly only because of the author.
which one?
Gerald Jay Sussman, of SICP fame.
Functional Differential Geometry (2012) [pdf]
41–42 of 42 posts
Re: Functional Differential Geometry (2012) [pdf]
#42Enough of you care about this to vote it to the front page? Who are you people? In that case, I have two favorite books on this topic. Bamberg and Sternberg, A Course in Mathematics for Physics Students. It's a redo of calculus using differential geometry from the start. A very pretty way to do E&M, or calculations on the surface of the Earth, or vector flows. Grady and Polimeni, Discrete Calculus. This is how you do…
Thanks for the reference to p. It looks like a good addition to the Thorpe I've done and the do Carmo and Lee that I am currently working through. I appreciate it. This is reasonable?
http://books.google.com/books/about/Curvature_in_Mathematics...