Overview
- Affordable reprint of a classic undergraduate textbook
- Accessible guide to wavelets with applications to many fields
- Includes numerous exercises? at the end of each section
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (9 chapters)
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Front Matter
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Algorithms for Wavelet Transforms
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Front Matter
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Basic Fourier Analysis
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Front Matter
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Computation and Design of Wavelets
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Front Matter
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Back Matter
Keywords
About this book
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 disciplines—computer science, engineering, mathematics, mathematical sciences—as well as for practicing professionals in these areas.Â
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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.
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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.
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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.
Reviews
From the reviews:
“This book is very suitable as a text for an upper division class in wavelets. A large number of exercises, including many based on applications, are included … . This book could also be used as a resource for self-study by the determined student.” (Charles Ashbacher, MAA Reviews, February, 2013)
Authors and Affiliations
Bibliographic Information
Book Title: Wavelets Made Easy
Authors: Yves Nievergelt
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-1-4614-6006-0
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Softcover ISBN: 978-1-4614-6005-3Published: 09 November 2012
eBook ISBN: 978-1-4614-6006-0Published: 09 November 2012
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: XIII, 297
Topics: Abstract Harmonic Analysis, Fourier Analysis, Electrical Engineering, Applications of Mathematics, Computational Mathematics and Numerical Analysis