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Fourier and Wavelet Analysis (Universitext)

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Fourier and Wavelet Analysis (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and cosine transforms, and wavelets. The books approach emphasizes the role of the "selector" functions, and is not embedded in the usual engineering context, which makes the material more accessible to a wider audience. While there are several publications on the various individual topics, none combine or even include all of the above.

Synopsis:

"This new edition develops the standard features of Fourier Analysis- Fourier series, Fourier transform, Fourier sine and cosine transforms, wavelets- for the reader who has never seen them before. It is an approach that emphasizes the role of the ""selector"" functions, and is not embedded in an engineering context, thus making the text accessible to a wider audience. In additon, there are many publications on each individual topic, but none combine all of them, which makes this book unique and comprehensive. Also included are detailed proofs, general historical information, and exercises at various levels of difficulty along with detailed hints and answers."

Table of Contents

1 Metric and Normed Spaces 2 Analysis 3 Bases 4 Fourier Series 5 The Fourier Transform 6 The Discrete and Fast Fourier Transforms 7 Wavelets

Product Details

ISBN:
9780387988993
Author:
George Bachman and Lawrence Narici and Edward Beckenstein
Publisher:
Springer
Author:
Bachman, George
Author:
Bachmann, George
Author:
Bachman, G.
Author:
Beckenstein, Edward
Author:
Beckenstein, E.
Author:
Narici, Lawrence
Location:
New York :
Subject:
Mathematical Analysis
Subject:
Wavelets (mathematics)
Subject:
Fourier analysis
Subject:
Fourier series
Subject:
Wavelets.
Subject:
WAVELET ANALYSIS
Subject:
Fourier transform
Subject:
Analysis
Subject:
Topological Groups, Lie Groups
Subject:
Mathematics-Analysis General
Copyright:
Edition Number:
1
Edition Description:
2000. Corr. 2nd
Series:
Universitext
Publication Date:
December 1999
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
516
Dimensions:
235 x 155 mm 2000 gr

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Related Subjects

Health and Self-Help » Self-Help » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » General

Fourier and Wavelet Analysis (Universitext) New Hardcover
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$104.25 In Stock
Product details 516 pages Springer - English 9780387988993 Reviews:
"Synopsis" by , This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and cosine transforms, and wavelets. The books approach emphasizes the role of the "selector" functions, and is not embedded in the usual engineering context, which makes the material more accessible to a wider audience. While there are several publications on the various individual topics, none combine or even include all of the above.
"Synopsis" by , "This new edition develops the standard features of Fourier Analysis- Fourier series, Fourier transform, Fourier sine and cosine transforms, wavelets- for the reader who has never seen them before. It is an approach that emphasizes the role of the ""selector"" functions, and is not embedded in an engineering context, thus making the text accessible to a wider audience. In additon, there are many publications on each individual topic, but none combine all of them, which makes this book unique and comprehensive. Also included are detailed proofs, general historical information, and exercises at various levels of difficulty along with detailed hints and answers."
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