This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, and to supplement, enhance, and embellish undergraduate courses on mathematical analysis. Exercises of varying levels of difficulty are scattered throughout the book to test understanding.

This is a concise introduction to Fourier series enabling the reader to appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory. It can be used to learn this subject, but also to supplement undergraduate courses on mathematical analysis. Exercises of varying difficulty are included throughout. A broad range of applications are also covered, and directions for further reading and research are provided, along with a chapter that provides material at a more advanced level suitable for graduate students.