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Ten Lectures on Wavelets

AUTHOR: Ingrid Daubechies
ISBN: 0898712742

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         Editorial Review

Ten Lectures on Wavelets
- Book Review,
by Ingrid Daubechies


From Book News, Inc.
Wavelets are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. Because of their interdisciplinary origins, wavelets (and these ten lectures delivered at a June 1990 conference, Lowell, Massachusetts) hold interest for scientists and engineers of diverse backgrounds. Annotation copyright Book News, Inc. Portland, Or.


Book Description
Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient. The opening chapter provides an overview of the main problems presented in the book. Following chapters discuss the theoretical and practical aspects of wavelet theory, including wavelet transforms, orthonormal bases of wavelets, and characterization of functional spaces by means of wavelets. The last chapter presents several topics under active research, as multidimensional wavelets, wavelet packet bases, and a construction of wavelets tailored to decompose functions defined in a finite interval. Because of their interdisciplinary origins, wavelets appeal to scientists and engineers of many different backgrounds.


About the Author
Ingrid Daubechies is in the mathematics department and at the Program in Applied and Computational Mathematics at Princeton University. She was previously a member of the technical staff at AT&T Bell Laboratories while on leave from her tenured position in the theoretical physics department at the Free University, Brussels, and was a full professor in the mathematics department at Rutgers University. She was awarded the 1997 Ruth Lyttle Satter Prize in Mathematics. She is a frequent lecturer and has published more than 46 papers.


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         Book Review

Ten Lectures on Wavelets
- Book Reviews,
by Ingrid Daubechies

Ten Lectures on Wavelets

FROM THE PUBLISHER

About the Author
Ingrid Daubechies is in the mathematics department and at the Program in Applied and Computational Mathematics at Princeton University. She was previously a member of the technical staff at AT&T Bell Laboratories while on leave from her tenured position in the theoretical physics department at the Free University, Brussels, and was a full professor in the mathematics department at Rutgers University. She was awarded the 1997 Ruth Lyttle Satter Prize in Mathematics. She is a frequent lecturer and has published more than 46 papers.

FROM THE CRITICS

Albert Cohen - Mathematical Reviews

This book is both a tutorial on wavelets and a review of the most advanced research in this domain...it also gives many practical examples and describes several applications (in particular, in signal processing, image coding and numerical analysis.)

Nicolae Popa - Romanian Journal of Pure and Applied Mathematics

This is a marvelous book written by one of the principal contributors to the field. ...a great part of the volume under review is dedicated to the engineering and physical origins of wavelets. ...The book style is alert and the interest of the potential reader is continuously kept alive. I think that this book is very useful to mathematicians as well as to people interested in the wavelets applications (engineers, physicists, etc.).

D. H. Griffel - The Mathematical Gazette

...Ingrid Daubechies is a leading wavelet theorist; this book gives a clear and systematic treatment of the mathematics. Applications are kept in mind all the time, but the main focus of attention is a rigorous development of the theory. ...The book is carefully written; proofs are given in detail for the benefit of non-expert readers yet there is plenty of broad-brush explanation to balance the rigorous mathematical detail.

Christopher Heil - SIAM Review

...this is a clearly written introduction to the mathematics of wavelets that provides solid background material on most of the major aspects of the current theory. Especially appealing is the way in which the relationships between wavelets and other areas are pointed out. .I feel certain that this will be the major introductory text on wavelets for some time to come. It will definitely be a welcome addition to the library of anyone interested in learning the basics of wavelets.

F. Alberto Grunbaum - Science

The book by Daubechies, who is one of the main developers of the (wavelet) theory, is the result of an intensive short course. The presentation is completely engrossing; it is like reading a good, thick Russian novel. Daubechies has a real knack for making the material appealing and lively, and there is a definite 'slowing down for details' at the points that require further elucidation. .This book can be used for many different purposes, from individual reading to graduate-level course-work, and it will likely become a classic.Read all 6 "From The Critics" >


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