Other Sources of Information
These are books and websites that I came across over the course of my work. I used some more than others, and some of them I didn't get a chance to explore much at all. I provide this list not only as a way to help others who are interested in fractals, but also to give credit to those whose works have helped me along tremendously over the course of this semester.
Books
Mustafa Kulenovic and Orlando Merino, Discrete "Dynamical" Systems and Difference Equations with Mathematica, 2002. Most of my instruction in fractal theory came from this newly-published book, co-authored by my faculty sponsor. It presents the material and theory without proofs; the proofs can always be found elsewhere.
Michael Barnsley, Fractals Everywhere, 1988. Probably the best book on fractals there is. It has theory, proofs, pictures, easy-to-understand examples, complex examples - this book has it all. If you're looking to explore fractals more, start with this book.
Benoit Mandelbrot, The Fractal Geometry of Nature, 1977. The first time the word fractal was used was in this book. The book is all essays, so it may not serve your purpose in research, but at least thumb through it because there is quite a bit of useful information in this book.
Computer Software
Scientific Notebook - it helped me put some of the mathematical symbols on the site.
Wolfram Research - makers of Mathematica, the best computer algebra system (I think) available. I usd Mathematica to create the fractal images on the site.
Click here to access the source code that I used.
Web Sites
Introduction to Fractal Geometry - a web site for a course that was taught at Yale a few years ago. Plenty of interesting tidbits on this page.
Bob Devaney's Home Page - Devaney is an expert on fractals, and his page has some neat things on it.