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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
  

Noncommutative harmonic analysis is one of the most widely used mathematical tools in engineering. This book brings a treatment of this valuable tool to the engineering world. It contains applications from diverse disciplines, including robotics, image analysis, and manufacturing... read full description below.

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ISBN 9780849307485
Barcode 9780849307485
Published 28 September 2000 by Taylor & Francis Inc
Format Hardback
Alternate Format(s) View All (2 other possible title(s) available)
Author(s) By Kyatkin, Alexander B.
By Chirikjian, Gregory S.
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Full details for this title

ISBN-13 9780849307485
ISBN-10 0849307481
Stock Out of stock
Status Out of print
Publisher Taylor & Francis Inc
Imprint CRC Press Inc
Publication Date 28 September 2000
Publication Country United States United States
Format Hardback
Author(s) By Kyatkin, Alexander B.
By Chirikjian, Gregory S.
Category Mathematics: Functional Analysis
Engineering: General
Number of Pages 674
Dimensions Width: 178mm
Height: 254mm
Spine: 38mm
Weight 1,229g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Engineering mathematics, Harmonic analysis, Mechanical engineering, Engineering mathematics, Harmonic analysis
NBS Text Engineering & Technology: Textbooks & Study Guides
ONIX Text Professional and scholarly;Professional and scholarly
Dewey Code 620
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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Awards, Reviews & Star Ratings

NZ Review In the opinion of this reviewer, the authors have accomplished their stated aims. [The book] is a comprehensive and generally self-contained exposition appropriate for guiding the engineering student to familiarity and, with practice, perhaps competence in an elegant and useful branch of analysisit must certainly be considered as a solid reference addition to personal or institutional libraries. This reviewer welcomes it in his - Appl Mech Rev, Vol. 55, no. 1, January 2002 There is a substantial list of over 310 references...Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups should be a source of enlightenment to the reader on many hitherto unexplored issues and concepts connecting the production and dissipation ranges of turbulence and the unstable developmental phases leading to these states. The authors have succeeded in producing a very readable and informative book that should act to stimulate additional discussions...It is recommended for research laboratory and academic library acquisition as a novel source of important developments. -Appl Mech Rev, vol. 54, no.6, November 2001 This book is an extensive account of the engineering applications of noncommutative harmonic analysis, that is, Fourier analysis on noncummutative Lie groupsThe presentation throughout the book is explicit and highly computational. In addition, each chapter is supplemented with extensive references to the literature, both engineering and mathematicalMathematicians will find the book interesting as a source of mathematical problems awaiting resolution, particularly those related to fast algorithms for the computation of the integrals involved -David H. Sattinger, Utah State University comprehensible and self-containeda valuable fuide to the literature, both engineering and mathematical. .Although the book is intended primarily for engineers, it is also interesting for mathematicians as a source of mathematical problems. - Mathematical Reviews, 2003g

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