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A Primer on Wavelets and Their Scientific Applications, Second Edition (Studies in Advanced Mathematics)

by James S. Walker

ISBN-10: 9781584887454
ISBN-10: 1-58488-745-1
ISBN-13: 9781584887454
ISBN-13: 978-1-58488-745-4
Paperback
2008-01-29
Chapman & Hall


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Editorials


Product Description
In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments, this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications.

Ingeniously relying on elementary algebra and just a smidgen of calculus, Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing, as well in biology and medicine.

Nearly twice as long as the original, this new edition provides

·      104 worked examples and 222 exercises, constituting a veritable book of review material

·         Two sections on biorthogonal wavelets

·         A mini-course on image compression, including a tutorial on arithmetic compression

·         Extensive material on image denoising, featuring a rarely covered technique for removing isolated, randomly positioned clutter

·         Concise yet complete coverage of the fundamentals of time-frequency analysis, showcasing its application to audio denoising, and musical theory and synthesis

·         An introduction to the multiresolution principle, a new mathematical concept in musical theory

·         Expanded suggestions for research projects

·         An enhanced list of references

·         FAWAV: software designed by the author, which allows readers to duplicate described applications and experiment with other ideas.

To keep the book current, Professor Walker has created a supplementary website. This online repository includes ready-to-download software, and sound and image files, as well as access to many of the most important papers in the field.


Reviews


My school must not have been very good
Mathematicians may find the "elementary algebra" in this book to be free of "mathematic rigor," but stupid people like me who went to public school will probably feel otherwise after struggling through the first page. I'm still looking for the wavelet equivalent of the excellent "Who is Fourier?"; this book is definitely not it, and it's definitely not worth $40.

A Primer on Wavelets and Their Scientific Applications
This book is an excellent one to learn the fundamental concepts of the wavelet transform. I recommend to study this book before starting or while studying another more mathematical text.

A little pedantic at times, but generally quite good....
At times, particularly at the beginning, the author seems almost patronizing, but generally the tone and level of the book is just where it should be for what seeks to be a primer. However, it is unfortunate that one of the primary functions in the software is not more fully described in the text; it is only described as the method of preparing many of the examples.

Overall, an excellent start for somebody who knows little or nothing about wavelets.

Best introductory book on wavelets
This is the best introductory level book on wavelets I have read. It is written beautifully and is one of the few books that provides insight as to how and why wavelets are useful.

Everyone should start out their investigation of wavelets with this book first. Highly recommended.


The ideas and the software.
This lovely little book helps the novice to get an idea of the math which underlies wavelets;-- and at the same time to learn how one readily gets hold of software that is convinient,-- that will make it easy for anyone to start playing around with it. The author also explains in plain English the wavelet aspects, and some of the mathematical constructs, behind audio denoising, signal compression, image recognition, speech recognition and more.


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