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The Summer of My Life: Chaos, Fractals, and the Mathematics of Unpredictability
Paperback
General MathematicsProbability & StatisticsProgramming
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Publisher: Independently Published
Pages: 486
Weight: 1.42
Height: 0.98 Width: 6.00 Depth: 9.00
Language: English
In Tirrenia, July 1985, a teenager with a new computer, a heavy voltage
converter, and a book of impossible shapes writes a program in BASIC and
presses RUN. Then he goes to the beach. The next morning a shape is
waiting on the screen that nobody drew - and it changes the course of his
It begins as a memoir and becomes a field guide. The Summer of My
Life is a journey through chaos, fractals, and the patterns that keep
turning up in nature - from the Mandelbrot set to Lorenz's weather, from
strange attractors to the edge of what can be predicted at all - and
through what it takes to show that one of those patterns is really
there.
Every figure was generated by code. Every number was computed. Every
claim is examined - including the famous ones, and several that do not
survive.
Thirty-nine chapters take the subject from a single equation to the
open problems of the present day: period doubling and Feigenbaum's
constant, Lyapunov exponents and the prediction horizon, strange
attractors, fractal dimension, Julia and Mandelbrot sets, flows and
bifurcations, chaos control and synchronisation, symbolic dynamics,
invariant measures, entropy, and multifractals.
Nothing is watered down and nothing is taken on trust. Where a claim is
proved, it says so. Where it is only measured, it says that too. Where a
famous result does not hold up, the book explains why - and applies the
same standard to itself.
Seventy-eight figures, every one generated from code written for this
book, with the parameters printed so any of them can be rebuilt from
scratch. Five appendices, including the calculus you need built from
nothing, a notation guide, and full sources.
Thirty-nine chapters. Seventy-eight figures. One rule, written down
correctly, and the patience to wait.
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