List of illustrations v Acknowledgements xi Preface xii 1 The emergence of chaos 1 2 Exponential growth, nonlinearity, common sense 22 3 Chaos in context: determinism, randomness, and noise 33 4 Chaos in mathematical models 58 5 Fractals, strange attractors, and dimension(s) 76 6 Quantifying the dynamics of uncertainty 87 7 Real numbers, real observations, and computers 104 8 Sorry, wrong number: statistics and chaos 112 9 Predictability: does chaos constrain our forecasts? 123 10 Applied chaos: can we see through our models? 132 11 Philosophy in chaos 154 Glossary 163 Further reading 169 Index 173
