Fourier analysis
著者
書誌事項
Fourier analysis
（Cambridge mathematical library）
Cambridge University Press, 2022
Repr. / with a foreword by Terence Tao
- : pbk
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注記
"First published 1988. First paperback edition (with corrections) 1989."--T.p. verso
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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