General PDE textbook
I'm working through a course on PDEs right now, but find my textbook is simply miserable. It was good up until we moved past Cartesian coordinates, but now is hardly decipherable. Could someone recommend a good text that simply covers Laplace, eigenvalue, wave, and diffusion equation solutions on Cartesian, polar, and spherical coordinates? Well documented example problems are critical for me to learn properly. It seems to me that such a book must exist somewhere, but my search online has been fruitless.
Thanks in advance!
I think the problem with many PDE books is that they are presented as physics books, while they should be presented as math books. The PDE book that I learned from is this. I was happy with it, I was even surprised that I was happy with it, I expected it to be one of those typical non-sensical physics books. But this one actually have proofs* in it (Surprised). Do not let the title fool you, it has a lot of stuff in it, it is only "basic" if it compare it to advanced mathematical books on PDE's as opposed to physics books on PDE's.
Originally Posted by canopy
*)And by "proofs" I mean real proofs, not some hand-waving that is presented in physics books.
Thanks a lot for the advice. A math based version of this stuff is exactly what I'm looking for. I simply don't have the powers of intuition of a physicist. I've recalled the book the my library :)