Does God Play Dice?: The New Mathematics of Chaos
Since the dramatic discovery of the mathematical concept of chaos in 1989, the controversy of its contents has settled down. This revised edition of Does God Play Dice? takes a fresh look at its achievements and potential. With a new preface and three completely new chapters, it includes the latest practical applications of chaos theory, such as developing intelligent heart pacemakers. All this provides a fascinating new answer to Einstien's question which provided the title of this book.
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Chaos from Order
Equations for Everything
The Laws of Error
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analysis applied axis behaviour Bell's inequality Bohm's butterfly effect calculations chaos chaos theory chaotic attractor chaotic dynamics circle classical close complex complicated Copenhagen interpretation curve deterministic dice differential equations dynamical system Earth electron example experiment Feigenbaum fig-tree Figure flow fluid fractal dimension frequency geometry happens Hyperion idea infinitely initial conditions irregular iteration kind laws limit cycle linear logistic mapping look Lorenz Lorenz attractor Mandelbrot mathematical mathematicians measure method move nature Newton's nonlinear observed orbit oscillations particles pattern pendulum period-doubling periodic motions perturbations phase space physical physicists picture planets Poincare section population precise predict problem quantum mechanics quasiperiodic quasiperiodic motion random reason regular renormalization rotating round saddle scaling ratio scientists shows simple Solar System spin stable stable manifold star steady strange attractor structure theorem theory there's things time-series tiny topology trajectories turbulence universe unstable variables velocity wave function weather wire