Question

Which is d best book to learn basics for ODE and PDE??

Answer 1

Definitely the best intro book on ODEs that I've read is Ordinary Differential Equations by Tenebaum and Pollard. Dover books has a reprint of the book for maybe 10-11 dollars on Amazon, and considering it has answers to most of the problems found in the book, it's perfect for self study.

The book is fantastically complete, giving essentially every well-known method for solving typical ODEs (though it is an 800-some-odd-page behemoth), and most of the key proofs for completeness. Best of all, though is that it is very accessible for those who come from a moderate HS-level calculus background---it assumes no knowledge of anything other than algebra and simple integration techniques, and, using only that, takes you through a large part of the field.

Plus, it's a great reference for when you forget how to solve that oddly complicated-looking ODE!

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