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Chaotic (Discrete) Dynamics

The following sources are recommended by a professor whose research specialty is complex dynamics.


Six Superlative Sources

-- NOTE: It will be useful to those who use these references to know what level of mathematics they should be expected to understand to make such references useful to them. The references are numbered according to: (1) high-school mathematics background; (2) college-level undergraduate with a couple years of mathematics training; (3) graduate-level mathematical training required.

· An Introduction to Chaotic Dynamical Systems, Second Edition, by Robert L. Devaney, Addison-Wesley 1989 (2)

· Iteration of Rational Functions, by Alan F. Beardon, Springer-Verlag 1991 (3)

· Chaos: Making a New Science, by James Gleick, Penguin Books 1988 (1)

· The Dynamical Systems and Technology Project at Boston University (2)

· The Fractal Geometry of the Mandelbrot Set (video), by Robert L. Devaney, Key Curriculum Press (1)

· Fractals, the Colors of Infinity (video), narrated by Arthur C. Clarke and aired by PBS (1)

Other Excellent Sources

· Complex Dynamics, by Lennart Carleson and Theodore W. Gamelin, Springer-Verlag 1993 (3)

· Dynamics in One Complex Variable, Introductory Lectures, 2nd Edition, by John Milnor, Vieweg 2000 (3)

· Transition to Chaos: The Orbit Diagram and the Mandelbrot Set (video), by Robert L. Devaney, Science TV (1)

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Chaliapin, Fyodor Ivanovich (1873-1938)
   Chaotic (Discrete) Dynamics
Charles, d'Orléans (1394-1465)

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