Department
Math
Degree Name
Master of Arts (MA)
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.
Advisor
Wilmont Toalson
Date of Award
Summer 1964
Document Type
Thesis - campus only access
Recommended Citation
Hornung, Lester, "Transformation of Selected Lines and Conics in the Z-Plane" (1964). Master's Theses. 857.
DOI: 10.58809/RDBM4871
Available at:
https://scholars.fhsu.edu/theses/857
Rights
© The Author(s)
Comments
For questions contact ScholarsRepository@fhsu.edu