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Physical Sciences and Mathematics Commons

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Mathematics

Theses/Dissertations

1969

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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.