Non-Associative Number Theory: Meditations Upon an Article by T. Evans

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dc.contributor.advisorNielsen, George M., 1934-2023
dc.contributor.authorIonta, Robert W.
dc.descriptioniii, 43 p.en_US
dc.description.abstractThe 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".en_US
dc.publisherKalamazoo Collegeen_US
dc.relation.ispartofKalamazoo College Mathematics Senior Individualized Projects Collection
dc.relation.ispartofseriesSenior Individualized Projects. Mathematics.;
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder.
dc.titleNon-Associative Number Theory: Meditations Upon an Article by T. Evansen_US