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    The geometry in geometric algebra

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    Kilpatrick_uaf_0006N_10288.pdf
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    Author
    Kilpatrick, Kristopher N.
    Chair
    Maxwell, David A.
    Committee
    Williams, Gordon I.
    Rhodes, John A.
    Metadata
    Show full item record
    URI
    http://hdl.handle.net/11122/4903
    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.
    Description
    Thesis (M.S.) University of Alaska Fairbanks, 2014
    Table of Contents
    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.
    Date
    2014-12
    Type
    Thesis
    Collections
    Mathematics and Statistics

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