Chaos: Making a New ScienceThe author describes how scientists studying the growth of complexity in nature are discovering order and pattern in chaos. He explains concepts such as nonlinearity, the Butterfly Effect, universal constants, fractals, and strange attractors, and examines the work of scientists such as Mitchell J. Feigenbaum, Edward Lorenz, and Benoit Mandelbrot. 
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Good semilayman overview of Chaos theory  Goodreads
General introduction to chaos.  Goodreads
Such insight and engaging.  Goodreads
Gleick is a fabulous writer.  Goodreads
Pretty pictures, too.  Goodreads
Great introduction to chaos theory and it's history.  Goodreads
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Great groundbreaking book introducing chaos, with fractals, strange attractors, the Butterfly Effect, and much more!
If I'm allowed, I'd like to suggest checking it out in much more depth (along with other great book and idea recommendations), with free chapters, links to articles and much more at my Squidoo Lens:
www.squidoo.com/importantandinfluentialbooksandideas
Review: Chaos: The Making of a New Science
User Review  Matt Mayevsky  GoodreadsBook for persistents. Interdisciplinary journey to the sources of chaos theory. For me, the greatest discovery in this book and at the same time the greatest inspiration is an attractor. Read full review
Contents
Prologue  1 
Revolution  33 
A revolution in seeing Pendulum clocks space balls and playground  53 
Copyright  
9 other sections not shown
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Alamos Barnsley began behavior Benoit Mandelbrot bifurcation biologists biology boundary calculations cell chaos chaotic colleagues color complex complicated convection Crutchfield cycle David Ruelle deterministic dimension disorder Doyne Farmer dynamical systems ecologists Edward Lorenz energy equations equilibrium experiment experimental exploring Feigenbaum flow fluid Fractal Geometry Gollub Harry Swinney heart Henon Hubbard Huberman ideas imagine infinite intuition Julia sets kind knew laboratory Libchaber linear liquid look Lorenz Lorenz attractor Mandelbrot set math mathematicians mathematics Mitchell Feigenbaum motion nature never Newton's method nonlinear numbers orbits oscillations paper parameter particle patterns Peitgen pendulum perioddoubling phase space physicists physics Poincare population predict problem produce random rhythms Ruelle Santa Cruz scale scientists seemed shape Shaw simple Smale steady Steve Smale strange attractor structure surface Swinney technique temperature theory things tion turbulence turned understand University weather Winfree Yorke