Harmonic Analysis for Engineers and Applied Scientists: Updated and Expanded Edition

Updated and Expanded Edition

Author: Gregory S. Chirikjian and Alexander B. Kyatkin Series: Dover Books on Mathematics

Revised and updated, this self-contained treatment covers a wide range of theory and applications including robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. 2000 edition.

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Summary

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Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules.Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.

About the Author

Gregory S. Chirikjian received his PhD from the California Institute of Technology in 1992. He is Professor of Mechanical Engineering, with a secondary appointment in Computer Science, Applied Mathematics, and Statistics, at the Whiting School of Engineering at Johns Hopkins University. Alexander B. Kyatkin received his PhD in physics from Johns Hopkins University in 1996. He has conducted research in harmonic analysis on the motion group, computer vision, numerical algorithm development, and high energy particle physics. He currently works on developing software.

More on this Book

Revised and updated, this self-contained treatment is designed for engineers, applied mathematicians, and scientists interested in the theory and applications of the generalization of Fourier analysis known as noncommutative harmonic analysis. The material's wide range of applications includes robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules.