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Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups

Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups

The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other a... read full description below.

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ISBN 9781281150820
Published 1 January 2001 by CRC Press
Format Other
Alternate Format(s) View All (2 other possible title(s) available)
Author(s) By Chirikjian, Gregory S.
By Kyatkin, Alexander B.
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Full details for this title

ISBN-13 9781281150820
ISBN-10 1281150827
Stock Out of stock
Status Not currently available
Publisher CRC Press
Imprint CRC Press
Publication Date 1 January 2001
Publication Country United States United States
Format Other
Author(s) By Chirikjian, Gregory S.
By Kyatkin, Alexander B.
Category Algebra
Applied Mathematics
Engineering: General
Mechanical Engineering
General Theory of Computing
Number of Pages 674 pp
Dimensions Not specified
Weight Not specified - defaults to 400g
Interest Age General Audience
Reading Age General Audience
NBS Text Mechanical Engineering
ONIX Text General/trade
Dewey Code 620.0015
Catalogue Code Not specified

Description of this Book

The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems.Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications.Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers.; Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.

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