Looking a good book about Fourier Series

Question

I'm studying Rudin's Mathematical Analysis, but I'd like to study another book (specially the Fourier Series topics) to improve my knowledge. Could you give any suggestions?

Thanks so much!

Answer 1

I can't tell at what depth you want to study Fourier series (feel free to add those details to your question and I will edit accordingly), but for an elementary treatment with some context in applied problems, see Fourier Series and Boundary Value Problems by Churchill and Brown.

At a deeper level, try Fourier Series and Orthogonal Functions by H. Davis (Dover book) and An Introduction to Lebesgue Integration and Fourier Series by H. Wilcox (also Dover).

Answer 2

I recommend Fourier Series and Integrals by Dym and McKean. It is a very readable introduction to the subject.