The geometry in geometric algebra

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Show simple item record Kilpatrick, Kristopher N. 2015-02-03T00:57:44Z 2015-02-03T00:57:44Z 2014-12
dc.description Thesis (M.S.) University of Alaska Fairbanks, 2014 en_US
dc.description.abstract We present an axiomatic development of geometric algebra. One may think of a geometric algebra as allowing one to add and multiply subspaces of a vector space. Properties of the geometric product are proven and derived products called the wedge and contraction product are introduced. Linear algebraic and geometric concepts such as linear independence and orthogonality may be expressed through the above derived products. Some examples with geometric algebra are then given. en_US
dc.description.tableofcontents Chapter 1: Preliminaries -- Chapter 2: The geometry of blades -- Chapter 3: Examples with geometric algebra -- Chapter 4: Appendix -- 4.1. Construction of a geometric algebra -- References. en_US
dc.language.iso en_US en_US
dc.title The geometry in geometric algebra en_US
dc.type Thesis en_US ms en_US
dc.identifier.department Department of Mathematics and Statistics en_US
dc.contributor.chair Maxwell, David A.
dc.contributor.committee Williams, Gordon I.
dc.contributor.committee Rhodes, John A.

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