عنوان

Images of a complex world :

9789812775115

9812775110

1281927929

9781281927927

9789812564009

9812564012

b788948

Images of a complex world :

[Book]

the art and poetry of chaos /

Robin Chapman, Julien Clinton Sprott.

Hackensack, N.J. :

World Scientific Pub. Co.,

©2005.

1 online resource (xvi, 175 pages) :

color illustrations

Includes bibliographical references and index.

Ch. 1. Dynamical systems. Simple or complex? Linear or nonlinear? -- ch. 2. Viewing dynamics. Where do we go next? (time series). Have we been here before? (state space) -- ch. 3. Where it all ends. Attractors. Stillness (fixed points). Endless repetition (limit cycles). Doughnuts and inner tubes (tori). Strange attractors (chaos) -- ch. 4. Routes to chaos. Fork in the road (bifurcations). Skipping a beat (period-doubling). On the edge of chaos -- ch. 5. Images of chaos. Chaos or noise? Strange attractors. Stretching and moving (iterated function systems). Escaping the attractor (generalized Julia sets) -- ch. 6. Chaos and predictability. Time's arrow. The butterfly effect (sensitive dependence) -- ch. 7. Truth and beauty. Fractals. Mirror images. Flower petals.

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With the poems written by winner of the Posner Poetry Award from the Council of Wisconsin Writers in 2005, this coffee-table book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of Wisconsin-Madison, it features multiple ways of knowing : Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's full-color computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiple-choice quiz to test understanding. Accompanied by a CD-ROM of the poet reading 13 poems and 1,000 images of chaos art from which slide shows can be generated and 100 high-resolution posters created, the book has a foreword by Cliff Pickover, author of A Passion for Mathematics.

9789812564009

9812564012

Chaotic behavior in systems.

Computer art.

Dynamics.

Fractals.

Mathematics in art.

Mathematics in literature.

Nonlinear theories.

Chaotic behavior in systems.

Computer art.

Dynamics.

Fractals.

Mathematics in art.

Mathematics in literature.

Nonlinear theories.

SCIENCE-- Chaotic Behavior in Systems.

PH

SCI-- 012000

Chapman, Robin S.

Sprott, Julien C.

World Scientific (Firm)

20201207022512.0

pn

[Book]

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