References:

Fractals:

Barnsley, Michael, Fractals Everywhere [1]

Edgar, Gerald, Classics on Fractals

Edgar, Gerald, Measure, Topology, and Fractal Geometry [1]

Falconer, Kenneth, Fractal Geometry: Mathematical Foundations and Applications [2]

Falconer, Kenneth, The Geometry of Fractal Sets

Feder, Jan, Fractals [1]

Fisher, Yuval, Fractal Image Compression: Theory and Application

Mandelbrot, Benoit, The Fractal Geometry of Nature [2]

Mandelbrot, Benoit, Multifractals and 1/f Noise

McGuire, Michael, An Eye for Fractals [3]

Peitgen, Heinz-Otto and Dietmar Saupe, The Science of Fractal Images [2]

Chaos:

Devaney, Robert, An Introduction to Chaotic Dynamical Systems [1]

Gulick, Denny, Encounters with Chaos [2]

Martelli, Mario, Intro. to Discrete Dynamical Systems and Chaos [2]

Peitgen, Heinz-Otto and Peter Richter, The Beauty of Fractals: Images of Complex Dynamical Systems [2]

L-Systems:

Prusinkiewicz, P. and James Hanan, Lindenmayer Systems, Fractals, and Plants [1]

Prusinkiewicz, P. and Aristid Lindenmayer, The Algorithmic Beauty of Plants [1]

The Game of Life:

Poundstone, William, The Recursive Universe: Cosmic Complexty and the Limits of Scientific Knowledge [3]

Complex Adaptive Systems:

Goodwin, Brian, How the Leopard Changed its Spots: The Evolution of Complexity [3]

Holland, John, Emergence: From Chaos to Order [3]

Lewin, Roger, Complexity: Life at the Edge of Chaos [2,3]

Waldrop, M. Mitchell, Complexity: The Emerging Science at the Edge of Order and Chaos [3]


Notes:

[1] I relied heavily on this book in making up my notes.

[2] I used parts of this book in making up my notes.

[3] A semi-technical or non-technical overview (not a textbook).


Maintainer: leader@wilbur.rose-hulman.edu.

Home e-mail: JeffLeader@MindSpring.com.