Chaos And Fractals by Heinz-Otto Peitgen

New Frontiers of Science

An accessible yet rigorous introduction to chaos theory and fractal geometry that blends mathematical foundations (iteration, bifurcation, complex dynamics) with extensive computer-generated imagery; it explains how simple nonlinear rules produce complex, self-similar structures and unpredictable behavior, develops key concepts such as strange attractors, Julia and Mandelbrot sets, and presents methods for generating, visualizing, and analyzing fractals along with examples and applications across the natural sciences and technology.