The Fourier Transform: A Tutorial Introduction

The Fourier transform is a fundamental tool in the physical sciences, with applications in communications theory, electronics, engineering, biophysics and quantum mechanics. In this brief book, the essential mathematics required to understand and apply Fourier analysis is explained. The tutorial style of writing, combined with over 60 diagrams, offers a visually intuitive and rigorous account of Fourier methods. Hands-on experience is provided in the form of simple examples, written in Python and Matlab computer code. Supported by a comprehensive Glossary and an annotated list of Further Readings, this represents an ideal introduction to the Fourier transform.

"This book makes an excellent supplement to a mathematical methods course. In particular, Fourier series and transforms are motivated in terms of waves and signals, and the book develops intuition from an applied perspective which I think would very much appeal to engineering students. The figures are helpful throughout and nicely complement the development of the content."