Chappell et al: Geometric Algebra for Electrical and Electronic Engineers


Free PDF download: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6876131

By James M. Chappell, Samuel P. Drake, Cameron L. Seidel, Lachlan J. Gunn, Student Member IEEE, Azhar Iqbal, Andrew Allison, and Derek Abbott, Fellow IEEE, Proceedings of the IEEE | Vol. 102, No. 9, September 2014, pp. 1340-1363, DOI 10.1109/JPROC.2014.2339299

This tutorial paper provides a short introduction to geometric algebra, starting with its history and then presenting its benefits and exploring its applications.

Abstract: In this paper, we explicate the suggested benefits of Clifford’s geometric algebra (GA) when applied to the field of electrical engineering. Engineers are always interested in keeping formulas as simple or compact as possible, and we illustrate that geometric algebra does provide such a simplified representation in many cases. We also demonstrate an additional structural check provided by GA for formulas in addition to the usual checking of physical dimensions. Naturally, there is an initial learning curve when applying a new method, but it appears to be worth the effort, as we show significantly simplified formulas, greater intuition, and improved problem solving in many cases.

Keywords: Clifford algebra; Doppler effect; electromagnetism; geometric algebra (GA); Maxwell’s equations; relativity


Source:
Email from S.J. Sangwine, 10 Sep. 2014, 5:16 PM, sjs_AT_essex.ac.uk, http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6876131

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