Date of Award

Summer 1947

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics

Abstract

References to the so-called imaginary or complex numbers had been made by mathematicians in early times. The method of dealing with such numbers or quantities gradually took form, until today we have at our disposal a full study of the complex variable. It is the purpose of this thesis to show how a geometry based on the complex variable is built up. By establishing a relationship between points in a plane and the plane itself, a coordinate system is founded. The mapping of one plane upon another, as well as transformations within the same plane, make up a large portion of the geometry of the complex variable.

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