Master's Theses

Date of Award

Summer 1964

Degree Name

Master of Arts (MA)

Department

Math

Advisor

Wilmont Toalson

Abstract

The basic problem of this paper was to study the results of transforming selected conics under the transformations w = ez, w = sin z, and w = cos Z. The conic sections were limited to those that were symmetric to the origin, x or y axis. It was found that as the complexity of the curve to be transformed increased so did the complexity of the transformed curve. The other two factors of significance were found to be: 1) The effect of the periodicity of the sine and cosine function; 2) the rapidity by which the absolute values of ex, cosh x, and sinh x increase as x increases. The lone exception to the last statement is that as x approaches negative infinity the value of ex approaches zero.

Rights

Copyright 1964 Lester W. Hornung

Comments

Notice: This material may be protected by copyright law (Title 17 U.S. Code).

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