Fourier Analysis

Fourier analysis is a subject that was born in physics but grew up in mathematics, and Tom Körner provides a shop window for its ideas, techniques, and elegant results. Its applications range from number theory to earth science, and it has few prerequisites.

Format: Paperback / softback
Length: 610 pages
Publication date: 09 June 2022
Publisher: Cambridge University Press

Fourier analysis, a subject with its roots in physics but has since flourished in mathematics, has become an integral part of the toolkit for mathematicians, physicists, and engineers alike. While this diverse range of interests may sometimes go unnoticed, Tom Körner's beloved book offers a captivating glimpse into the world of Fourier analysis, showcasing its ideas, techniques, and remarkable results. These applications span a wide spectrum, including number theory, numerical analysis, control theory, statistics, earth science, astronomy, and electrical engineering. What's remarkable about this field is that it requires relatively few prerequisites, making it accessible to readers with a solid foundation in second- or third-year undergraduate mathematics. The lively and engaging style of Körner's writing ensures that the text is both informative and enjoyable to read. This revised edition of Körner's 1989 text includes a foreword penned by Professor Terence Tao, introducing it to a new generation of enthusiasts. By delving into the complexities of Fourier analysis, this book provides a valuable resource for anyone seeking to expand their knowledge in these fields.

ISBN-13: 9781009230056
Edition number: Revised ed