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
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