Fractal Geometry of the Mandelbrot Set (Cover Page)
8 Summary (Previous Section)
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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.
Fractal Geometry of the Mandelbrot Set (Cover Page)
8 Summary (Previous Section)
BU Math Home Page
Prof. Robert L. Devaney (Boston University)