Chaos and Fractals : An Elementary Introduction
Feldman, D. P.
Chaos and Fractals : An Elementary Introduction [Electronic Resource] / by D. P. Feldman. - New York : Oxford University Press, 2012
This book provides an elementary introduction to chaos and fractals. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analysed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia sets and the Mandelbrot set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations.
9780199566433
Chaos
Mathematical
Statistical Physics
514.742 / F333C
Chaos and Fractals : An Elementary Introduction [Electronic Resource] / by D. P. Feldman. - New York : Oxford University Press, 2012
This book provides an elementary introduction to chaos and fractals. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analysed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia sets and the Mandelbrot set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations.
9780199566433
Chaos
Mathematical
Statistical Physics
514.742 / F333C