MATH 498B -- FRACTAL GEOMETRY


Introduction to Professor Gulick's class -- Fall 2001

Fractal Geometry is a new subject within mathematics that has interesting connections with many different subjects within mathematics as well as applications outside mathematics. Major topics to be covered in the course are:

1. Self-similar sets and famous examples of fractals

2. Various definitions of fractal dimension, and their interrelationships

3. Iterated function systems -- which help us create our own fractals on the computer

4. Julia sets and the Mandelbrot set (which is an unbelievably complicated set in the plane), and the relationship between them

5. Applications of fractals


Professor Gulick expects to use a preliminary text that he is writing.



Professor Gulick's office is 2103 Mathematics Building.

His office telephone number is 301 405 5157.

His email address is dng@math.umd.edu.

His office hours during Fall 2001 are yet to be determined.


Edited by D. Gulick, March 26, 2001