In this text, the author presents mathematical background and major wavelet applications, ranging from the digital telephone to galactic structure and creation of the universe. It discusses in detail the historic origins, the algorithms and the applications of wavelets.

Review

"In many respects the book is a personal view of the field, and others would no doubt have tackled the undertaking quite differently; this actually adds to the book's interest.. I believe it is accessible to any scientifically minded reader with rudimentary knowledge of Fourier analysis; furthermore, the seasoned mathematician will find discussions of many interesting nonmathematical topics.. I recommend the book as a delightful introduction to wavelets." --Ingrid Daubechies, AT&T Bell Laboratories, Science, Vol. 262, December 3, 1993."

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