Ten Lectures on Wavelets
Language: English
Published by Society for Industrial and Applied Mathematics,U.S., US, 1992
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
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Condition: New
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Winner of the 1994 Leroy P. Steele Prize for excellence in expository writing.Ingrid Daubechies received the 2000 National Academy of Sciences (NAS) Award in Mathematics, which is given every four years for excellence in published mathematical research. Daubechies was chosen "for fundamental discoveries on wavelets and wavelet expansions and for her role in making wavelet methods a pracical basic tool of applied mathematics".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.Special Features:Only comprehensive book in English on this subject.Ideal for mapping out a graduate course or a seminar on the subject.Includes an extensive bibliography.…
Seller Inventory # LU-9780898712742
- Title
- Ten Lectures on Wavelets
- Author
- Ingrid Daubechies
- Publisher
- Society for Industrial and Applied Mathematics,U.S., US
- Publication year
- 1992
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0898712742
- ISBN 13
- 9780898712742
- Item weight
- 650 grams
- Dimensions
- 17.78 x 1.91 x 25.4 cm
"Synopsis" may belong to another edition of this title.
Review
'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.' D. H. Griffel, The Mathematical Gazette
' ... 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.' Christopher Heil, SIAM Review
'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).' Mathematical Reviews
' ... I heartily recommend this book to anyone who seriously wants to know the state of the art in wavelets. The modest ... is a real bargain for the wealth of information it contains ... I have changed from one who is skeptical because of wavelets being fashionable to one who has the opinion that wavelets are here to stay and will become a standard tool in many applications. This book is likely to become a classic text in mathematics and a reference to those seriously using wavelets. It is exciting to read a soon-to-be classic.' Journal of Electronic Imaging
"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." -- F. Alberto Grünbaum, Science, August 7, 1992.
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