A Primer on Wavelets and Their Scientific Applications (Studies in Advanced Mathematics) (Hardcover)

A Primer on Wavelets and Their Scientific Applications (Studies in Advanced Mathematics) By James S. Walker Cover Image
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In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments, this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications.

Ingeniously relying on elementary algebra and just a smidgen of calculus, Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing, as well in biology and medicine.

Nearly twice as long as the original, this new edition provides

104 worked examples and 222 exercises, constituting a veritable book of review material

Two sections on biorthogonal wavelets

A mini-course on image compression, including a tutorial on arithmetic compression

Extensive material on image denoising, featuring a rarely covered technique for removing isolated, randomly positioned clutter

Concise yet complete coverage of the fundamentals of time-frequency analysis, showcasing its application to audio denoising, and musical theory and synthesis

An introduction to the multiresolution principle, a new mathematical concept in musical theory

Expanded suggestions for research projects

An enhanced list of references

Product Details
ISBN: 9781138442436
ISBN-10: 1138442437
Publisher: CRC Press
Publication Date: July 27th, 2017
Pages: 320
Language: English
Series: Studies in Advanced Mathematics