Geometric Algebra: An Introduction with Applications in Euclidean and Conformal Geometry

Publication Year:
2013
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Repository URL:
https://scholarworks.sjsu.edu/etd_theses/4396
Author(s):
Miller, Richard Alan
Tags:
bivector; Clifford algebra; conformal model; geometric algebra; geometric product; outer product
thesis / dissertation description
This thesis presents an introduction to geometric algebra for the uninitiated. It contains examples of how some of the more traditional topics of mathematics can be reexpressed in terms of geometric algebra along with proofs of several important theorems from geometry. We introduce the conformal model. This is a current topic among researchers in geometric algebra as it is finding wide applications in computer graphics and robotics. The appendices provide a list of some of the notational conventions used in the literature, a reference list of formulas and identities used in geometric algebra along with some of their derivations, and a glossary of terms.