Chaos & Complexity: Discovering the Surprising Patterns of Science and Technology
The surprising patterns of chaos and complexity are to be found in many areas of nature and science, examples ranging from cabbages to coastlines. Quite often, those who could benefit most from an understanding of the principles behind chaos and complexity, for example engineers, geologists, medics, chemists and physicists, are denied access to the power and wonders of the field by the mathematical and unnecessarily convoluted way the topic is usually presented.
This book opens up the fascinating opportunities offered by an understanding of this field to the informed layman, using informative and amusing examples of the application of the principles accompanied by many descriptive figures demonstrating the beauty of a science which can now be understood by all!
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2 Complexity and the Failure of Reductionism
4 What is the Point of Geometry?
5 Painting a Rainbow by Tracking Vanishing Pixels in Linespace
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agglomerate aggregate attractor average B. H. Kaye behavior bell curve boundary bread Buffon's needle calculate carpet Chapter characterize circle coastline coin created cumulative data of Figure described diameter digits dimensional dimensional analysis discover discussion distribution function dots drunks dust equation equipaced estimate experiment experimental exploration fact fibers filter fluid fractal dimension fractal geometry fractal structure frequency Gaussian probability given graph paper Greek histogram holes infinity iteration Julia sets known Lake Ramsey Laurentian University length log-normal distribution logarithmic look Mandelbrot set mathematical mathematician meaning measure needle number of moves particles pattern pendulum perimeter phase space physical pixel players Poisson polygon population powder problem profilometer random number table Random Walk reader Reynolds number Richardson plot root words ruggedness scientists Section sequence shown in Figure Sierpinski carpet Sierpinski fractal simulated soot square stochastic summarized surface tails technique theory tumbling variations velocity viscosity