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Chaos

A Very Short Introduction

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Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible math and physics to explain Chaos Theory, and points to numerous examples in philosophy and literature that illuminate the problems. This book provides a complete understanding of chaotic dynamics, using examples from mathematics, physics, philosophy, and the real world, with an explanation of why chaos is important and how it differs from the idea of randomness. The author's real life applications include the weather forecast, a pendulum, a coin toss, mass transit, politics, and the role of chaos in gambling and the stock market. Chaos represents a prime opportunity for mathematical lay people to finally get a clear understanding of this fascinating concept.

Inhaltsverzeichnis

  • Preface

  • 1: The Emergence of Chaos

  • 2: Exponential Growth, Nonlinearity, Common Sense

  • 3: Chaos in Context: Determinism Randomness and Noise

  • 4: Chaos in Mathematical Models

  • 5: Fractals, Strange Attractors, and Dimension(s)

  • 6: Quantifying the Dynamics of Uncertainty

  • 7: Real numbers, Real Observations and Computers

  • 8: Sorry, Wrong Number: Statistics and Chaos

  • 9: Predictability: Does Chaos Constrain Our Forecasts?

  • 10: Applied Chaos: Can We See Through Our Models?

  • 11: Philosophy in Chaos

  • Glossary

  • Further Reading


Produktdetails

Erscheinungsdatum
22. Februar 2007
Sprache
englisch
Seitenanzahl
208
Reihe
Very Short Introductions
Autor/Autorin
Leonard Smith
Verlag/Hersteller
Produktart
kartoniert
Gewicht
170 g
Größe (L/B/H)
174/111/17 mm
ISBN
9780192853783

Portrait

Leonard Smith

Leonard Smith is Senior Research Fellow in Mathematics at the University of Oxford, where he lectures on nonlinear dynamical systems and chaos.

Pressestimmen

"Leonard Smith's Chaos (part of the Oxford Very Short Introduction series) will give you the clearest (but not too painful idea) of the maths involved... There's a lot packed into this little book, and for such a technical exploration it's surprisingly readable and enjoyable."-- popularscience.co.uk

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