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You can't go wrong. What can I say, Wavelets explained by Ingrid Daubechies.
On the positive side, it does present a strong mathematical foundation. It's famous because it was first (or one of the first). 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). There are so many well written books on Wavelts out nowadays. Don't waste your money on this one.
I don't know if I can say this about any other book I have taught from. When I used it in my teaching, it was equally popular with the math students, and those from engineering. The students could follow all the carefully presented proofs, and the engineer could generate algorithms from the applied chapters. 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.
But if you have had some experience with the subject this is a must have for your library shelf. This book is a treasure of details if you know what you are doing. As another reviewer noted, it is not for the beginner.
At least not at the beginning. Ten Lectures is essentially one big proof. This is the document that started it all. There are much better books written for explaining wavelets and to better present the material. Try Mallat/Kovacevic or Strang.once you've got a solid understanding, come back to Daubechies and marvel at her work. 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.
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