Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. This diversity of interest is often overlooked, but in this much-loved book, Tom Körner provides a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy and electrical engineering. The prerequisites are few (a reader with knowledge of second- or third-year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. This edition of Körner's 1989 text includes a foreword written by Professor Terence Tao introducing it to a new generation of fans.

'This is an extraordinary and very attractive book … I would like to see the book on the desk of every pure mathematician with an interest in classical analysis, and of every teacher of applied mathematics whose work involves analysis … This is how mathematics ideally should be presented, but too seldom is.' R. P. Boas, SIAM Review
'This is a wonderful book … More than anything, this is just fun to read, to browse, to study. … Fourier Analysis is literate, lively and a true classic. I highly recommend it.' William J. Satzer, MAA Reviews
'I cannot imagine a mathematically prepared reader failing to enjoy this book.' P. G. MacGregor, The Mathematical Gazette

T. W. Körner is Emeritus Professor of Fourier Analysis at the University of Cambridge. His other books include The Pleasures of Counting (Cambridge, 1996) and Where Do Numbers Come From? (Cambridge, 2019).