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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!

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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).

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

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