Gregory S Chirikjian, Alexander B Kyatkin

Engineering Applications of Noncommutative Harmonic Analysis

With Emphasis on Rotation and Motion Groups

• Broschiertes Buch

Produktbeschreibung

Fisrt published in 2001, Noncommutative harmonic analysis is one of the most widely used mathematical tools in engineering. Written specifically for engineers and computer scientists, this book serves as an applied counterpart to the theoretical works of pure mathematicians.

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Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 674
• Erscheinungstermin: 30. September 2021
• Englisch
• Abmessung: 254mm x 178mm x 36mm
• Gewicht: 1188g
• ISBN-13: 9780367257200
• ISBN-10: 0367257203
• Artikelnr.: 69890079

Autorenporträt

Gregory S. Chirikjian and Alexander B. Kyatkin.

Inhaltsangabe

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.