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Theses/Dissertations

Mathematics

1969

All Master's Theses

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On The Theory Of Quaternions, Earle David Smith Aug 1969

On The Theory Of Quaternions, Earle David Smith

All Master's Theses

Ordered triplets serve to describe space geometrically just as ordered pairs serve to describe the plane. A multiplication can be defined on pairs consistent with the complex numbers. However, as this paper will show, one cannot define a multiplication on triplets which is consistent with the complex numbers.


An Investigation Of Mikusinski’S Operational Calculus, Darwin Chester Hahn Mar 1969

An Investigation Of Mikusinski’S Operational Calculus, Darwin Chester Hahn

All Master's Theses

The purpose of this study was development of a field of Mikusinski operators in calculus.