DocumentCode :
23085
Title :
Geometric Algebra for Electrical and Electronic Engineers
Author :
Chappell, James M. ; Drake, Samuel Picton ; Seidel, Cameron L. ; Gunn, Lachlan J. ; Iqbal, Azlan ; Allison, Andrew ; Abbott, Derek
Volume :
102
Issue :
9
fYear :
2014
fDate :
Sept. 2014
Firstpage :
1340
Lastpage :
1363
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 :
Algebra; Electric fields; Geometry; Magnetic separation; Mathematics; Quaternions; Clifford algebra; Doppler effect; Maxwell´s equations; electromagnetism; geometric algebra (GA); relativity;
fLanguage :
English
Journal_Title :
Proceedings of the IEEE
Publisher :
ieee
ISSN :
0018-9219
Type :
jour
DOI :
10.1109/JPROC.2014.2339299
Filename :
6876131
Link To Document :
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