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Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics)

Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics)
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Manufacturer: SIAM: Society for Industrial and Applied Mathematics
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Additional Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics) Information

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.

 

What Customers Say About Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics):

What can I say, Wavelets explained by Ingrid Daubechies. You can't go wrong.

It's famous because it was first (or one of the first). There are so many well written books on Wavelts out nowadays. Don't waste your money on this one. On the positive side, it does present a strong mathematical foundation. I recommend you buy a readable book (just do a search on Amazon.com and you'll find half a dozen great books on Wavelets), then when you approach the "expert" level, use this one a s a reference (if at all).

When I used it in my teaching, it was equally popular with the math students, and those from engineering. This book has become a classic,-- and a hit;-- for more than ten reasons. It is multilayered, and yet presents a unity of ideas: The material, and the writing is engaging for the beginner, and for the research mathematician alike. I don't know if I can say this about any other book I have taught from. The students could follow all the carefully presented proofs, and the engineer could generate algorithms from the applied chapters.

This book is a treasure of details if you know what you are doing. As another reviewer noted, it is not for the beginner. But if you have had some experience with the subject this is a must have for your library shelf.

At least not at the beginning. This is the document that started it all. There are much better books written for explaining wavelets and to better present the material. It is by far a great mathematical and theoritical piece of work. HOWEVER, if you are just starting off and want to learn about wavelets and do not have an advanced math or engineering degree (and I do mean ADVANCED), do not pick up this book. Ten Lectures is essentially one big proof. Try Mallat/Kovacevic or Strang.once you've got a solid understanding, come back to Daubechies and marvel at her work.

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