Date of Award

2-1936

Degree Type

Bachelors Essay

Degree Name

Bachelor of Science (BS)

Department

Mathematical and Statistical Sciences

First Advisor

H.P. Pettit

Abstract

Perhaps if I set forth my original inspiration for this thesis, the reader will be better able to understand the reason for the apparent limitations of treatment. In my study of differential equations, I had the task set before me of presenting a discussion of Laplace's equation to the class. A seemingly easy matter turned out to be quite difficult for the reason that most texts make but brief use of Laplace's equation. Thus in a mathematics book reference will be made to Laplace's equation simply as example of a mathematical process. Some of these processes are the change of variables, the solution of a partial differential equation in terms of Bessel functions, the method of derivation of partial differential equations, and the application of mathematics to physical problems. On the other hand, physics books use the equation in its various forms generally with little regard to its source or derivation. The purpose of this thesis is, therefore, to unify and supplement the information available. A great portion of the work consisted of finding satisfactory abbreviations of broader topics.

Comments

A Thesis submitted to the Faculty of the College of Liberal Arts of Marquette University in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science Milwaukee, Wisconsin.

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