Harmonic Functions as an Application of Complex Analysis

Caldwell, Jordan

Harmonic Functions as an Application of Complex Analysis

Persistent URL

http://hdl.handle.net/10456/42809

Author(s)

Caldwell, Jordan

Date Issued

December 16, 2017

Abstract

We discuss the fundamental theorems and definitions behind harmonic functions in order to give anyone with a background in calculus a basic understanding of harmonic functions and how they appear in some physical situations. The property that harmonic functions are uniquely determined by their boundary conditions and the Poisson Integral Formula for the Half-Plane are each used in an example from Electrostatics.

Major

Mathematics

Honors

Mathematics, 2017

First Reader(s)

Weir, Rachel J.