Fourier and Wavelet Analysis [electronic resource] / by George Bachman, Lawrence Narici, Edward Beckenstein.

By:

Bachman, George

Contributor(s):

Material type: Text

TextSeries: UniversitextPublication details: New York, NY : Springer New York, 2000.Description: 1 online resource (ix, 507 p.)ISBN:

9781461205050 (electronic bk.)
1461205050 (electronic bk.)

Subject(s):

DDC classification:

515.243 BAC

Contents:

Metric and Normed Spaces -- Analysis -- Bases -- Fourier Series -- The Fourier Transform -- The Discrete and Fast Fourier Transforms -- Wavelets -- Index.

Summary: 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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Holdings
Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode
Project book	CUTN Central Library Sciences	Non-fiction	515.243 BAC (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	Project Books	31/01/2024	48829

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Previous	515.102 WHI Mathematics for Chemistry	515.102 WIT Mathematics for Chemistry	515.15 WOO Analytic geometry and Calculus /	515.243 BAC Fourier and Wavelet Analysis	515.243 CHU An introduction to wavelets /	515.243 DEI Principles of harmonic analysis /	515.243 JAN Wavelets from a statistical perspective /	Next

Metric and Normed Spaces -- Analysis -- Bases -- Fourier Series -- The Fourier Transform -- The Discrete and Fast Fourier Transforms -- Wavelets -- Index.

Online version restricted to NUS staff and students only through NUSNET.

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.

Mode of access: World Wide Web.

System requirements: Internet connectivity; World Wide Web browser.

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