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   -> Volume 11, Issue 1

Book: Recently Released Book
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Seth Barnes (

PostPosted: Fri Apr 12, 2002 11:08 am    
Subject: Book: Recently Released Book
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An Introduction to Wavelet Analysis
David Walnut, George Mason University

"An Introduction to Wavelet Analysis" provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and application of wavelet bases. The book develops the basic theory of wavelet bases and transforms without assuming any knowledge of Lebesgue integration or the theory of abstract Hilbert spaces. The central ideas of wavelet theory are motivated through a detailed exposition of the Haar series, and then a demonstration of how a more abstract approach allows one to generalize and improve upon the Haar series. Once these ideas have been established and explored, variations and extensions of Haar construction are presented.

Topics and Features:

* Rigorous proofs complete with explanation and analysis
* Complete background material provided for all steps using Fourier Analysis
* Wavelets are presented first on the continuous domain and later restricted to the discrete domain, for improved motivation and understanding of discrete wavelet transforms and applications
* Special appendix, "Excursions in Wavelet Theory" provides a guide tocurrent literature on the topic
* Over 170 exercises guide the reader through the text

This book is an ideal text/reference for a broad audience of advanced students and researchers in applied mathematics, electrical engineering, computational science, and the physical sciences. It is also suitable as a self-study reference guide for professionals. All readers will find this book to be an accessible presentation of wavelet theory that does not assume prior knowledge of advanced concepts.

For a complete table of contents and ordering information, please visit:

2001/456 pp., 62 illus./hardcover/$69.95/ISBN 0-8176-3962-4
Applied and Numerical Harmonic Analysis Series
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