Chaos exists in systems all around us. Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market. Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction.
Table of Contents
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
Reviews
"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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Reviews
3.0
out of 5 based on
1
reviews.
– Customer review on 05/07/2009
I bought this book in New Zealand, because firstly I am interested in chaos theory and secondly it would fit in my coat pocket. I read it in a single sitting on the return flight from Wellington to Melbourne: this says the book is readable and interesting, because I usually fall asleep on planes. That said I was not satified. It was really a book about mathematical chaos in layman’s terms, and spent a good deal of time dealing with forecasting weather and climate. I particularly liked the quote – “Climate is what you expect. Weather is what you get”. Unfortunately I expected a general discussion on chaos theory, but got a specific discourse on modelling and forecasting.
My feeling is the book is incomplete. Perhaps it is the format, which I quite like, but I suspect it has more to do with the author’s interests. Personally I think the James Gleick’s Chaos: Making a New Science , which was published in 1987, is a better introduction. I’m sure there are others. I also found many of the illustrations to be of very poor quality. I appreciate it is difficult in a book of this size to provide intricate illustrations, but surely a colour image or two of a fractual is possible.
Altogether I enjoyed reading this book, because it did apply chaos theory to the real world with real examples. At $20 NZ it was excellent value for money and was a happy companion while travelling. It is of interest to anyone who is looking for a very short account on fundamental problems and principles in chaos theory. All in all I would rate it two and a half out of five. Why? Because telling the complete story matters!
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