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This book is intended as an introduction to classical Fourier analysis, Fourier series, and the Fourier transform. The topics are developed slowly for the reader who has never seen them before, with a preference for clarity of exposition in stating and proving results. More recent developments, such as the discrete and fast Fourier transforms and wavelets, are covered in the last two chapters. The first three, short, chapters present requisite background material, and these could be read as a short course in functional analysis. The text includes many historical notes to place the material in a cultural and mathematical context; from the fact that Jean Baptiste Joseph Fourier was the nineteenth, but not the last, child in his family to the impact that Fourier series have had on the evolution of the concept of the integral.
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Fourier and Wavelet Analysis
2000, Springer New York
electronic resource /
in English
1461267935 9781461267935
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- Created June 30, 2019
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March 1, 2022 | Edited by ImportBot | import existing book |
February 26, 2022 | Edited by ImportBot | import existing book |
June 30, 2019 | Created by MARC Bot | Imported from Internet Archive item record |