Master's Theses

Department

Math

Degree Name

Master of Arts (MA)

Abstract

The basic problem in this study is the mathematics of certain physical applications of analytic transformations. The primary purpose of this paper is to obtain an idea of, or to become acquainted with, some of the physical applications of various analytic transformations of the form w = f(z). The study is limited to physical applications of the analytic functions: [functions listed]. Some applications of the Schwarz-Christoffel transformation are also considered. The use of analytic transformations to solve certain boundary value problems in steady temperatures, electrostatics, and fluid flow is shown. It is found that as regions and boundary values become complicated, so does the analytic functions used for the analytic transformation.

Keywords

Analytic functions, Mathematics, Atmospheric temperature, Functions of complex variables, Schwarz-Christoffel transformation, Dimensions

Advisor

Dr. Jimmy Rice

Date of Award

Summer 1967

Document Type

Thesis - campus only access

Rights

© The Author(s)

Comments

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