%\thispagestyle{empty} \begin{center}\noindent \begin{minipage}{5.625in} \vspace{1in} \doublespace \begin{center}ACKNOWLEDGMENTS\end{center} \hspace{.25in} First, I would like to thank my advisor, Dr. Mark Pernarowski. I feel fortunate to have had the opportunity to work with him and truly appreciate his commitment to my project and his time, assistance, sense of humor and patience. To detail all of his efforts would require another volume, which might be more interesting to read. \hspace{.25in} Third, a special thanks to my readers Dr. Jack Dockery, and Dr. Tomas Gedeon for their helpful suggestions and corrections. \hspace{.25in} I am indebted to many educators, but mention only a few here. I wish to thank Gary Grefsrud for, among many things, directing me to Montana State University to work with such a wonderful group of mathematicians. J. Arnott for his help on the hard stuff. Tom Schaffter who has been an inspiration in more ways than he realizes. \hspace{.25in} I thank my family for teaching me by example the many character traits (disorders) that one must have to complete a project such as this. Thanks Mom for not really trading me for that bowl of gold fish, and thanks Dad for your continued interest in 'non-apologetic linear chaotic non-dynamical systems'. \hspace{.25in} To my widow, Lina you can dig me up now, turns out I was not dead after all. I would like to thank her for her continuous love and faith in my ability to finish. She did the worrying for me. And finally, my daughter Sofia, for her tight grip on my heart, which always kept life in its proper perspective, and without whom this would have had a 2002 copy write. \end{minipage} \end{center}