Robert L. Devaney.
An Introduction to Chaotic Dynamical Systems: 2nd edn.
Westview Press. 2003
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 from 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.