Engineering Applications of Noncommutative...

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

72,80 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

Kategorien:

Beschreibung

First published in 2001. 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.

Zusammenfassung

Gregory S. Chirikjian and Alexander B. Kyatkin.

Inhaltsverzeichnis

1. Introduction and Overview of Applications. 2. Classical Fourier Analysis. 3. Sturm-Liouville Expansions, Discrete Polynomial Transforms and Weasels. 4. Orthogonal Expansions in Curvilinear Coordinates. 5. Rotations in Three Dimensions. 6. Rigid-Body Motion. 7. Group Theory. 8. Harmonic Analysis on Groups. 9. Representation Theory and Operational Calculus for SU (2) and SO (3). 10. Harmonic Analysis on the Euclidean Motion Groups. 11. Fast Fourier Transforms for Motion Groups. 12. Robotics. 13. Image Analysis and Tomography. 14. Statistical Pose Determination and Camera Calibration. 15. Stochastic Processes, Estimation, and Control. 16. Rotational Brownian Motion and Diffusion. 17. Statistical Mechanics of Macromolecules. 18. Mechanics and Texture Analysis. A. Computational, Complexity, Matrices, and Polynomials. B. Set Theory. C. Vector Spaces and Algebras. D. Matrices. E. Techniques from Mathematical Physics. F. Variational Calculus. G. Manifolds and Riemannian Metrics. References. Index.

Details

Erscheinungsjahr:	2021
Medium:	Taschenbuch
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9780367257200
ISBN-10:	0367257203
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Chirikjian, Gregory S. Kyatkin, Alexander B.
Hersteller:	CRC Press Taylor & Francis
Verantwortliche Person für die EU:	preigu GmbH & Co. KG, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Abbildungen:	12 SW-Fotos, 5 Tabellen
Maße:	37 x 178 x 254 mm
Von/Mit:	Gregory S. Chirikjian (u. a.)
Erscheinungsdatum:	30.09.2021
Gewicht:	1,289 kg