ABSTRACT

Many of the beautiful, exotic sets that appear on calendars and covers of magazines are sets that can be described in terms of iterates of complex functions. In Section 7.1 we give a brief introduction to complex numbers, the complex plane, and complex functions. We devote Section 7.2 to the fascinating collection of sets called Julia sets in the complex plane, and devote the final section to the famous, beautiful Mandelbrot set, which is also in the complex plane.