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
Recommended Citation
Verkamp, Maxine, "Quaternions" (1965). Master's Essays (1922 - ). 2842.
https://epublications.marquette.edu/essays/2842
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.