Chaos Theory Tamed

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Joseph Henry Press, 1997 - Science - 499 pages
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In this fascinating trek through the concept of chaos, Williams uses friendly language to help readers understand the vocabulary and significance of chaos theory in our lives. The book will help scientists, students, and others outside mathematics use the concepts of chaos in working with data, and it will give lay readers a foothold on the fundamentals of this new realm of thought.
 

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Contents

Chaos in perspective
9
THE AUXILIARY TOOLKIT
21
Distances and lines in space
35
Vectors
49
Probability and information
65
Autocorrelation
97
Fourier analysis
107
The parameter as king
161
Uncovering determinism
247
Attractor reconstruction
265
DIMENSIONS
289
Similarity dimension
301
Capacity and Hausdorff dimension
315
Information dimension
321
Correlation dimension
329
QUANTITATIVE MEASURES OF CHAOS
351

Nonchaotic attractors
175
Routes to chaos
189
Chaotic equations
203
CHARACTERISTICS OF CHAOS
209
The chaotic strange attractor
221
Order within chaos
229
Fractal structure
237
KolmogorovSinai entropy
381
Mutual information and redundancy
407
Epilogue
443
References
473
Selected further reading
485
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About the author (1997)

formerly of United States Geological Survey

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