• 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