Non-Associative Number Theory: Meditations Upon an Article by T. Evans
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Authors
Ionta, Robert W.
Issue Date
1966
Type
Thesis
Language
en_US
Keywords
Alternative Title
Abstract
The course of' learning tor a college math student is a search for unity. Throughout his four years of study, he is constantly trying to organize vectors, groups, differentials, integrals, and the like, into a meaningful. pattern. Such was the incentive for the choice of topic for this paper. The goal was a subject which would be self-contained, could
be developed in a few axioms, and which would not require extensive study of other subjects. A paper on the axiomatic development· of non-associative
numbers appeared to be the. answer. There would be only one primary source; everything could be developed from five postulates. Unfortunately, this was not the case. Ten years of work lay behind the writing of the source-paper, and, to understand it fully, other sources had to be studied - which led far away from the original idea.
This paper is an attempt to bring order and simplicity back into non-associative number theory. It is aimed at the casual reader; and, in many cases, whole areas of the theory are left undiscussed if' they would not fit comfortably into this particular treatment of the subject.
The paper is informal in its approach; consequently, the language should not be formal. It is not. For convenience, although contrary to established practice, the author will refer to himself as "I"; for he feels he .is not yet such a scholar that he can afford the humility of the "imperial We".
Description
iii, 43 p.
Citation
Publisher
Kalamazoo College
License
U.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder.