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Includes the history for perspective, proofs, hints, and exercises on Fourier series, transforms, and more. This textbook is useful for a first or second year graduate course on Fourier analysis.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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| Author(s) : | Format : Hardback Book |
| ISBN-10 : 0387988998 | ISBN-13 : 9780387988993 |
| RRP : £46.00 | Best available price : £ / $ |
| Prices as of : BST check live prices | |
Series Title : Universitext S.
Country Publication : United States
Publication Date : 01/12/1999
Publisher : Springer-Verlag New York Inc.
Page Length : IX, 505mm
Page Size : 234mm