
Wavelets Made Easy
Yves Nievergelt(Author)
Springer (Publisher)
1st Edition
Published on 9. November 2012
Book
Paperback/Softback
XIII, 297 pages
978-1-4614-6005-3 (ISBN)
Description
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. 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.
Reviews / Votes
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)
More details
Series
Language
English
Place of publication
New York
United States
Target group
Lower undergraduate
Illustrations
XIII, 297 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
476 gr
ISBN-13
978-1-4614-6005-3 (9781461460053)
DOI
10.1007/978-1-4614-6006-0
Schweitzer Classification
Other editions
Additional editions

E-Book
11/2012
1st Edition
Birkhäuser
€53.49
Available for download
Person
Yves Nievergelt is professor of mathematics at Eastern Washington University. His research interests include applied analysis (mathematics applied to chemistry, medical diagnostic imaging, and physics), complex analysis, and numerical analysis (mathematics of scientific programming).
Content
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.