Fourier Analysis

A lively and engaging look at some of the ideas, techniques and elegant results of Fourier analysis, and their applications.

T. W. Körner (Author), Terence Tao (Foreword by)

9781009230056, Cambridge University Press

Paperback / softback, published 9 June 2022

610 pages
24.5 x 17 x 3 cm, 1.06 kg

'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

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.

Foreword Terence Tao
Preface
1. Fourier series
2. Some differential equations
3. Orthogonal series
4. Fourier transforms
5. Further developments
6. Other directions
Appendices
Index.

Subject Areas: Maths for engineers [TBJ], Applied mathematics [PBW], Numerical analysis [PBKS], Differential calculus & equations [PBKJ], Real analysis, real variables [PBKB]