Fourier Series

Rating:
Summary: very nice
Review: A good, thorough treatment of Fourier series and their applications to PDEs. I was impressed by the rigorous, yet clear explanatations. The book is advanced material but very easy to read. Definitely recommended, and it's very cheap too!

Rating:
Summary: good reference
Review: This book can be used as a reference, or as an introduction to Fourier series. It is clearly written, and gives the rigorous foundation as well as some practical applications of Fourier series.

Rating:
Summary: excellent introduction
Review: This book is a great introduction to the theory of Fourier series. If, like me, you're starting from scratch with a healthy calc background, you'll have no trouble using this book for self-study. The exercises are not trivial, but they won't take an hour each (like Whittaker & Watson).

My one gripe is that, aside from trig systems, Fourier-Bessel systems, and one paragraph on Legendre polynomials, they fail to give any other examples of complete orthogonal systems. If you're looking for a general book on orthogonal functions, this is not it. It is, however, a perfect introduction to the Fourier theory.

Rating:
Summary: Solid
Review: This is a solid and inexpensive book on the subject. There are lots of examples and many exercise solutions. It is useful for self-study to the well motivated.

Rating:
Summary: Solid
Review: This is a solid and inexpensive book on the subject. There are lots of examples and many exercise solutions. It is useful for self-study to the well motivated.