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Dissertation/Thesis Abstract

Extension of Elementary Functions to Zeon Algebras
by Weygandt, Alexander, M.S., Southern Illinois University at Edwardsville, 2017, 25; 10274893
Abstract (Summary)

This work extends that done by Dollar and Staples in determining the algebraic properties of zeon algebras. The usual exponential function has been extended to this setting, and it is shown to have an inverse. As a result, a multiplicative form of the invertible elements of the zeon algebras is obtained, and several applications of this factorization are discussed. Additionally, basic trigonometry is extended to the setting of these algebras.

Indexing (document details)
Advisor: Staples, George S.
Commitee: Parish, James L., Song, Myung-Sin
School: Southern Illinois University at Edwardsville
Department: Mathematics and Statistics
School Location: United States -- Illinois
Source: MAI 56/04M(E), Masters Abstracts International
Subjects: Mathematics
Keywords: Combinatorics, Graph theory, Zeon algebras
Publication Number: 10274893
ISBN: 978-1-369-78816-7
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