"Transformation of Conic Sections by Rational Polynomial Functions" by Joel B. Weiss
 

Date of Award

1965

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

Abstract

The circle preserving property of Moebius transformations may be verified without decomposing the Moebius function into its component parts. An advantage of this method of proof is that the image equation of a particular circle or straight line under a Moebius transformation is immediately known. The first section of this paper considers the images of certain classes of circles and straight lines under the Moebius transformation.

Comments

An essay submitted to the Department of Mathematics, Marquette University in partial fulfillment of the requirements for the degree Master of Science, Milwaukee, Wisconsin.

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