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612-822-4611
A First Course on Wavelets

A First Course on Wavelets

Hardcover

Series: Studies in Advanced Mathematics

AlgebraGeneral Mathematics

ISBN10: 0849382742
ISBN13: 9780849382741
Publisher: CRC Press
Published: Sep 12 1996
Pages: 512
Weight: 1.97
Height: 1.36 Width: 6.30 Depth: 9.72
Language: English

Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets.

The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets.

Some of the topics treated include:

Also in

General Mathematics