Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts and backs up the definitions and results with motivation, examples, and applications.

Denny Gulick is Professor Emeritus in the Department of Mathematics at the University of Maryland. His research interests include operator theory and fractal geometry. He earned a PhD from Yale University.

Jeff Ford is a Visiting Assistant Professor of Mathematics at Gustavus Adolphus College. He earned his Bachelor's degree from Gustavus Adolphus College, his Master's degree in mathematics from Minnesota State University-Mankato, and his Ph.D. in mathematics from Auburn University, studying under Dr. Krystyna Kuperberg. Jeff is interested in the existence of volume-preserving dynamical systems with unique properties. Jeff uses and assesses a variety of active learning techniques in his class including inquiry-based learning and team-based learning. His scholarship in this area centers on understanding how active learning techniques improve confidence and reduce anxiety in undergraduate students.

Chapter 1. Periodic Points. Chapter 2. One-Dimensional Chaos. Chapter 3. Two-Dimensional Chaos. Chapter 4. Systems of Differential Equations. Chapter 5. Introduction to Fractals. Chapter 6. Creating Fractal Sets. Chapter 7. Complex Fractals: Julia Sets and The Mandelbrot.