Does God Play Dice?: The New Mathematics of Chaos

Cover
Title
Contents
Preface to the Second Edition
Prologue: Clockwork or Chaos?
1. Chaos from Order
	Unreasonable Reasoning
	Clockwork World
	Voyage to Hyperion
	Chaos
	Calculator Chaos
	Hinduism and the Art of Mechanical Maintenance
2. Equations for Everything
	Cosmic Revolution
	Gears from the Greeks
	The Central Sun
	Swing of the Pendulum
	Gravity and Geometry
	The System of the World
	Bells and Whistles
	Wind and Waves
	Abandoned by Analysis
	Mathematics in Pawn
	The Reformulation Period
	Trouble in the Marketplace
3. The Laws of Error
	Gambling Gain
	The Average Man
	Hereditary Genius
	Technology Transfer
	Dutch Chaos
	Spare a Paradigm?
4. The Last Universalist
	Absent-minded Dreamer
	An Oscar for Mathematics
	Rubber Sheet Dynamics
	Madly in All Directions
	Eternal Triangle
	A Question for Topology
	Celestial Chaos
5. One-way Pendulum
	If You Can\'t Win, Cheat
	Geometry on the Energy Surface
	Nonpachydermology
	To Wrap It Up…
	Stranger than Friction
	Romance of Many Dimensions
	Dynamics in n-space
6. Strange Attractors
	DOG
	Time Flies Like an Arrow
	Sinks
	Sources
	Saddles
	Limit Cycles
	Typically, That\'s It
	ALL SYSTEMS ARE TYPICAL BUT SOME ARE MORE TYPICAL THAN OTHERS
	Swinging a Cat
	Insight, not Eyesight
	Structural Stability
	Attractors
	Wrapping Mapping
	Footprints of Chaos
	Poincaré Sections
	Solenoids in Suspension
	Cantor Cheese
	Genuine Chaos
	Diatribe Dialogue
7. Weather Factory
	Glorious Failure
	Climatic Chess
	Twixt Zero and Infinity
	Megaflop
	Mathematician at Heart
	Courage of His Convections
	The Advantages of Having a Computer
	The Butterfly Effect
	Swat That Butterfly
	Stretch and Fold
8. Recipe for Chaos
	Stretch and Fold
	From Radar to the Horseshoe
	Dynamics Bolognaise
	Magnetic Trap
	Puff Pastry
	Beyond Beeton
	Logistic Mapping
	Steady State Regime
	Period-doubling Cascade
	Order amid Chaos
	Big Fleas, Little Fleas…
9. Sensitive Chaos
	Plumbing the Depths
	Accumulating Wobbles
	Unlikely Scenario
	Falsifiability
	Laboratory Classic
	Illumination from the Laser
	Contact
	Fake Observables
	Strange Chemistry
	Bashō Revisited
10. Fig-trees and Feigenvalues
	Bottle in a Cosmic Ocean
	Don\'t Perturb – Renormalize!
	The Advantages of Not Having a Computer
	Snakes and Bears
	Renormalization
	Feigenbaum\'s Mapping
	Feigenvalues
	Two-edged Sword
	Turbulent Daydreams
	Cold and Silence
	Helium Rolls
11. The Texture of Reality
	Scales of Measurement
	Snowflakes and Coastlines
	One-and-a-quarter Dimensions
	‘Avoid Geometry’
	Silicon Valley
	Aggregation and Percolation
	How Oil and Water Don\'t Mix
	The Universe and Everything
	Fractal Forgeries
	Clouds and Rain
	Sisters under Their Skins
	The Gingerbread Man
	The Fractal Cow
12. Return to Hyperion
	Cosmic Potato
	Vampire Doppelganger
	Spin-orbit Geometry
	Tidal Friction
	How It Came About
	Resonance
	Kirkwood Gaps and Hilda Clumps
	Spikes of High Eccentricity
	Martian Sweeper
	Digital Orrery
	King Oscar\'s Answer
	Saved by the Moon?
13. The Imbalance of Nature
	Sharks and Shrimps
	Transluminal Rabbits
	The Limits of Growth
	Combination of Circumstances
	Blow-by-blowfly Account
	Beetle Dynamics
	The Web of Life
	Chaos in Epidemics
	HIV Dynamics and AIDS
	Cardiac Arrest!
	Kicked Rotator
	The Queen Stoops
	Chickenheart
	Medical Mathematics
14. Beyond the Butterfly
	What is Randomness?
	Chance and Chaos
	Pulsating Stars
	Short-term Prediction
	The Real World
	The FRACMAT Project
15. Von Neumann\'s Dream
	Pinball Wizard
	Back in the Saddle Again
	Off on a Comet
	The Intelligent Pacemaker
	Babloyantz\'s Brainwave
	Brains Need Chaos
16. Chaos and the Quantum
	Waves, Particles, and Quanta
	Wave Functions
	Cat in a Box
	The EPR Paradox
	Bohm\'s Interpretation
	Bell\'s Inequality
	Dice and Determinism
	Riddled Basins
	World of If
17. Farewell, Deep Thought
	Vast and Considerable Intellect
	Designer Chaos
	Unrepeatable Experiments
	Sleepwalk to Chaos
	Campaign for Real Mathematics
	Plus ça change…
	Conservation of Complexity
	The Goat in the Machine
	Simplicity Theory
	Fungibility
	Ant Country
	Simplexity and Complicity
Epilogue Dicing with the Deity
Further Reading
	Books, Popular
	Books, Advanced
	Magazine and Journal Articles
	Videotapes
Illustration Acknowledgements
Index