Wait, Bamberg wrote a book on differential forms and didn't tell me when I asked him for self-study references (he recommended Hubbard&Hubbard IIRC)? Crazy. (Context: I took a Hilbert Space class from him and only then realized what I had missed by skipping his vector calculus class for the standard intro to analysis.) Maybe he made the generous assumption that I'd already thoroughly reviewed the available books and had found his wanting?
Oh well. Either way, I'll have to check it out. I never did get far in Flanders (which left too much implicit, making it difficult to read) and H&H didn't seem to emphasize the E&M applications I was looking for (admittedly I only skimmed it). It appears that said applications are the focus of Bamberg's book, so it would likely be a better fit.
Oh well. Either way, I'll have to check it out. I never did get far in Flanders (which left too much implicit, making it difficult to read) and H&H didn't seem to emphasize the E&M applications I was looking for (admittedly I only skimmed it). It appears that said applications are the focus of Bamberg's book, so it would likely be a better fit.