Date of Award

12-1969

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics, Statistics and Computer Science

First Advisor

James W. Sauve

Abstract

The theory of analytic functions plays an important role in solving problems related to two-dimensional flows, with applications to various fields such as aerodynamics conduction of heat, electricity and hydrodynamics. The basis for such applications is the area of conformal mappings: that is, mappings which preserve both the magnitude and sense of angles, It is the purpose of this paper to discuss a particular function that maps the interior of a given polygon of the w-plane onto the upper half of the z-plane, and the boundary of the polygon onto the real axis. The name given to such a mapping is the Schwarz Christoffel Transformation.

Comments

An Essay Submitted to The Department of Mathematics Marquette University in partial fulfillment of the requirements for the degree of Master of Science, Milwaukee, Wisconsin

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