Masters Theses
Date of Award
8-2003
Degree Type
Thesis
Degree Name
Master of Science
Major
Mathematics
Major Professor
Jerry Dwyer
Committee Members
G. Samuel Jordan, Suzanne Lenhart
Abstract
We investigate the behavior of Newton's Method for finding roots applied to complex-valued functions of complex variables. This re- quires an analysis of iteration of rational functions. The fractal nature of Newton's Method in the complex plane gives us intricate and beautiful images. By investigating select functions we attempt to generalize a pattern of behavior.
Recommended Citation
Corte, Jennifer, "Fractal Images Generated by Newton's Method.". " Master's Thesis, University of Tennessee, 2003.
https://trace.tennessee.edu/utk_gradthes/1920
Files over 3MB may be slow to open. For best results, right-click and select "save as..."