
Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small "window". They are used to magnify experimental or numerical data and have become powerful tools in signal processing and other computational sciences. This book gives scientists and engineers a practical understanding of wavelets--their origins, their purpose, their use, and their prospects. It covers the applications of wavelets as a diagnostic tool and the use of wavelet basis functions to solve differential equations. Each chapter was written by one of five lecturers of a course sponsored by the Institute of Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center. Not only does this book treat the latest advances on the subject, but it also attempts to impart practical knowledge to allow scientists and engineers to evaluate objectively where these tools stand in relation to their needs.
This text investigates the mathematical foundations and practical utility of wavelets as a diagnostic and computational tool for scientists and engineers. The authors, drawing from their expertise at the Institute of Computer Applications in Science and Engineering (ICASE) and NASA Langley Research Center, provide a structured overview of wavelet theory. They synthesize academic research and applied methodology to demonstrate how wavelet basis functions can be utilized to solve complex differential equations and analyze numerical data.
What You Will Find
Experts recognize this volume as a foundational resource for those seeking to integrate wavelet analysis into computational workflows. Readers frequently note the technical density of the prose, which is tailored specifically for professionals and researchers in the fields of engineering and applied mathematics.
Page Count:
528
Publication Date:
1996-01-04
Publisher:
Oxford University Press
ISBN-10:
0195094239
ISBN-13:
9780195094237
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