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References

1

Blanchard, P. Complex Analytic Dynamics on the Riemann Sphere, B.A.M.S. Vol. II, No.1, 1984, 85-141.

2

Branner, B. The Mandelbrot Set. In Chaos and Fractals: The Mathematics Behind the Computer Graphics. Amer. Math. Soc. (1989), 75-106.

3

Devaney, R. L. An Introduction to Chaotic Dynamical Systems Second Edition. Addison-Wesley Co., Redwood City, Calif., 1989.

4

Devaney, R. L. Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics Addison-Wesley Co., Menlo Park, Calif., 1989.

5

Devaney, R. L. (ed.) Complex Analytic Dynamics: The Mathematics Behind the Mandelbrot and Julia Sets American Mathematical Society, Providence, 1994.

6

Devaney, R. L. The Orbit Diagram and the Mandelbrot Set. The College Mathematics Journal. 22 (1991), 23-38.

7

Devaney, R. L. The Fractal Geometry of the Mandelbrot Set. II: How to Add and How to Count. Also part of the Dynamical Systems and Technology Page.

8

Devaney, R. L. Professor Devaney Explains the Fractal Geometry of the Mandelbrot Set. A one hour videotape describing some of the details of this paper.

9

Devaney, R. L. The Mandelbrot Set Explorer.

10

Devaney, R. L. and Keen, L., eds. Chaos and Fractals: The Mathematics Behind the Computer Graphics American Mathematical Society, Providence, 1989.

11

Fatou, P., Sur l'Itération des fonctions transcendentes Entières, Acta Math. 47 (1926), 337-370.

12

Georges, J., Johnson, D., and Devaney, R. A First Course in Chaotic Dynamical Systems Software Addison-Wesley, Reading, MA 1992.

13

Julia, G. Iteration des Applications Fonctionelles, J. Math. Pures Appl. (1918), 47-245.

14

Keen, L. Julia Sets. In Chaos and Fractals: The Mathematics Behind the Computer Graphics. Amer. Math. Soc. (1989), 57-74.

15

Mandelbrot, B., The Fractal Geometry of Nature, Freeman Co., San Francisco, 1982.

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