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Wavelets Made Easy
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Catalogue Information
Field name
Details
Dewey Class
515.2433
Title
Wavelets Made Easy ([Ebook]) / by Yves Nievergelt.
Author
Nievergelt, Yves
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Birkhäuser
, 2013.
Physical Details
XIII, 297 pages : online resource.
Series
Modern Birkhäuser classics
ISBN
9781461460060
Summary Note
Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets.  Written at the level of a first course in calculus and linear algebra, its accessible presentation is designed for undergraduates in a variety of disciplinesâcomputer science, engineering, mathematics, mathematical sciencesâas well as for practicing professionals in these areas.  The present softcover reprint retains the corrections from the second printing (2001) and makes this unique text available to a wider audience. The first chapter starts with a description of the key features and applications of wavelets, focusing on Haar's wavelets but using only high-school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra.  The second part of this book provides the foundations of least-squares approximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates how to apply basic Fourier analysis to designing and analyzing mathematical wavelets. Particular attention is paid to Daubechies wavelets.  Numerous exercises, a bibliography, and a comprehensive index combine to make this book an excellent text for the classroom as well as a valuable resource for self-study.:
Contents note
Preface -- Outline -- A. Algorithms for Wavelet Transforms -- Haar's Simple Wavelets -- Multidimensional Wavelets and Applications -- Algorithms for Daubechies Wavelets -- B. Basic Fourier Analysis -- Inner Products and Orthogonal Projections -- Discrete and Fast Fourier Transforms -- Fourier Series for Periodic Functions -- C. Computation and Design of Wavelets -- Fourier Transforms on the Line and in Space -- Daubechies Wavelets Design -- Signal Representations with Wavelets. D. Directories -- Acknowledgements -- Collection of Symbols -- Bibliography -- Index. .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-1-4614-6006-0
Links to Related Works
Subject References:
Abstract Harmonic Analysis
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Applications of Mathematics
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Computational Mathematics and Numerical Analysis
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Computer Science
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Electrical engineering
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Fourier Analysis
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Harmonic analysis
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Wavelets (Mathematics)
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Authors:
Nievergelt, Yves
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Corporate Authors:
SpringerLink (Online service)
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Series:
Modern Birkhäuser classics
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Classification:
515.2433
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515.2433 (DDC 23)
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