Fourier Analysis
Published on 1. June 2022
978-1-009-23007-0 (ISBN)
Description
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 Koerner 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 Koerner's 1989 text includes a foreword written by Professor Terence Tao introducing it to a new generation of fans.
Reviews / Votes
'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 GazetteMore details
Series
Edition
Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Edition type
Revised edition
Illustrations
Worked examples or Exercises
File size
31,87 MB
ISBN-13
978-1-009-23007-0 (9781009230070)
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Schweitzer Classification
Other editions
Additional editions
Persons
Content
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.
