Advertisement

The Making of GABLE: A Geometric Algebra Learning Environment in Matlab

  • Stephen Mann
  • Leo Dorst
  • Tim Bouma

Abstract

Geometric algebra extends Clifford algebra with geometrically meaningful operators with the purpose of facilitating geometrical computations. Present textbooks and implementation do not always convey this geometrical flavor or the computational and representational convenience of geometric algebra, so we felt a need for a computer tutorial in which representation, computation and visualization are combined to exhibit the intuition and the techniques of geometric algebra. Current software packages are either Clifford algebra only (CLICAL [ 11] and CLIFFORD [ 3]) or do not include graphics [ 2], so we decided to build our own. The result is GABLE (Geometric AlgeBra Learning Environment), a hands-on tutorial on geometric algebra that is suited for undergraduate students [ 7].

Keywords

Matrix Representation Complex Representation Clifford Algebra Geometric Algebra Outer Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Stephen Mann
  • Leo Dorst
  • Tim Bouma

There are no affiliations available

Personalised recommendations