TY - GEN AU - Chirikjian, Gregory S. AU - Kyatkin, Alexander B. TI - Harmonic analysis for engineers and applied scientists SN - 9780486795645 U1 - 620.0015152433 PY - 2016/// CY - New York PB - Dover Publications KW - Harmonic analysis KW - Mechanical engineering KW - Engineering mathematics KW - Classical fourier analysis KW - Group theory KW - Robotics N1 - Includes references and index N2 - 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. Revised edition of Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups, CRC Press, Boca Raton, Florida, 2000 edition. https://store.doverpublications.com/0486795640.html ER -