The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.
I took a few courses on dynamical systems and I wanted to remember a bit of what I had already seen. I wasn't too interested in the formalism but I was interested in the intuition, this book delivered in spades. Admitedly I haven't read the whole thing but the few chapters I went through were so much fun that I knew I had to add this book to my collection. I hope to go through it with my future kids someday.