Chaos, Fractals, and Dynamics - Robert L. Devaney

Robert L. Devaney - Chaos, Fractals, and Dynamics
English| Addison-Wesley | ISBN : 020123288X | 1990 | PDF/DJVU | 209 pages | 9.6/3.9 MB

Chaos, fractals, and dynamics are important and exciting topics in contemporary mathematics. This book introduces these three topics using a combination of hands-on computer experimentation and precalculus mathematics. Students are led through a series of experiments that produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamics - chaos, iteration, and stability - are illustrated via computer projects. Numerous full-color and black-and-white images convey the beauty of these mathematical ideas.
This text is appropriate for high school students, college students, and mathematics teachers, as well as others who wish to experience and experiment with contemporary mathematics. It provides an ideal vehicle for combining the computer and rigorous mathematics in an essential fashion.