Using Maple for Calculations in the Clifford Algebra

Authors

Jared R. Stenson, Brigham Young University
Dr. Jean-Francois S. Van Huele, Brigham Young University

Keywords

Maple, Clifford Algebra, conventional math, geometrical structure

College

Physical and Mathematical Sciences

Department

Physics and Astronomy

Abstract

In order to progress we are often forced to adopt certain conventions. Just over a century ago, several new scientific ideas were emerging which increased the need to revise our mathematical methods and adopt new standard approaches. The Clifford Algebra was one proposed formalism that met the needs of the day yet, for whatever reason, was left behind in favor of the conventional math we are familiar with. However, as we’ve delved deeper into modern science many are now looking back to this forgotten approach because of its conceptual ease and geometrical structure [1]. Understanding the nature, benefits, and limitations of one of these approaches, the 3-dimensional Clifford Algebra ( 3 Cl ), was the focus of this project. This was done by developing a computational package, CliffAlg3, using MAPLE VII.

Recommended Citation

Stenson, Jared R. and Van Huele, Dr. Jean-Francois S. (2014) "Using Maple for Calculations in the Clifford Algebra," Journal of Undergraduate Research: Vol. 2014: Iss. 1, Article 1274.
Available at: https://scholarsarchive.byu.edu/jur/vol2014/iss1/1274