"Quaternions" by Maxine Verkamp
 

Date of Award

7-1965

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

Abstract

A field Fis a system consisting of a set S of elements, a, b, c ... and two operations, called addition and multiplication, which may be performed upon any two elements a and b of S to produce uniquely determined elements a+ b and a • b such that the following statements are true:

I. If a and b are any two elements of F, a + b = b + a and a • b = b • a;

II. If a, b, c are any three elements of F, a+ (b + c) = (a+ b) + c, a (b c) = (ab) c, and a (b + c) = ab+ ac

Comments

AN ESSAY presented to Mathematics Department MARQUETTE UNIVERSIT in partial fulfillment of the requirements for the degree Master of Science in Mathematics, Milwaukee, Wisconsin.

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