Mathematics
Popular Chaos and Fractals


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The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation
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The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation
by Gary Flake

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In this book Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. Distinguishing "agents" (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions...
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Linked : How Everything Is Connected To Everything Else and What It Means (02 Edition)
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Linked : How Everything Is Connected To Everything Else and What It Means (02 Edition)
by Albert Barabasi-laszlo

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Includes bibliographical references (p. 243-279) and index....
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Chaos: A Very Short Introduction
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Chaos: A Very Short Introduction
by Leonard Smith

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Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have...
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
by John Guckenheimer and Philip Holmes

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From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering...
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Classics on Fractals. (Reprint, 1993).
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Classics on Fractals. (Reprint, 1993).
by Gerald A Edgar

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Fractals are an important topic in such varied branches of science as mathematics, computer science, and physics. Classics on Fractals collects for the first time the historic papers on fractal geometry, dealing with such topics as non-differentiable...
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The Drunkard's Walk: How Randomness Rules Our Lives
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available May 13, 2008
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The Drunkard's Walk: How Randomness Rules Our Lives
by Leonard Mlodinow

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In this irreverent and illuminating book, acclaimed writer and scientist Leonard Mlodinow shows us how randomness, change, and probability reveal a tremendous amount about our daily lives, and how we misunderstand the significance of everything from a...
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Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations
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Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations
by Arne T. Skjeltorp

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The 16th meeting of the biannual conference on cooperative phenomena and phase transitions addressed the current experimental and theoretical knowledge of the physical organizing principles of a collection of many interacting particles or entities at...
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Chaos & Nonlinear Dynamics 2ND Edition
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Chaos & Nonlinear Dynamics 2ND Edition
by Robert Hilborn

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This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics...
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Chaos in Dynamical Systems
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Chaos in Dynamical Systems
by Edward Ott

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In the new edition of this classic textbook Ed Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos....
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The Nonlinear Universe: Chaos, Emergence, Life (Frontiers Collection)
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The Nonlinear Universe: Chaos, Emergence, Life (Frontiers Collection)
by Alwyn C. Scott

Synopsis
Written in Alwyn Scotta (TM)s inimitable style a lucid and accessible a The Nonlinear Universe surveys and explores the explosion of activity in nonlinear science that began in the 1970s and 1980s and continues today. The book explains the wide-ranging...
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Cambridge Tracts in Mathematics #143: Analysis on Fractals
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Cambridge Tracts in Mathematics #143: Analysis on Fractals
by Jun Kigami

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Self-contained introduction to analysis on fractals, a developing area of mathematics, for graduates and researchers....
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Natural Biodynamics
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Hardcover
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Natural Biodynamics
by Vladimir Ivancevic

Synopsis
This comprehensive volume is a graduate-level text in human biodynamics, written in the unified categorical language of modern differential geometry and topology. Combining mathematics, physics and robotics with human physiology, this is the first book...
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Beyond Coincidence: Amazing Stories of Coincidence and the Mystery Behind Them
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Beyond Coincidence: Amazing Stories of Coincidence and the Mystery Behind Them
by Martin Plimmer

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Beyond Coincidence recounts and analyzes more than two hundred amazing stories of synchronicity, the likes of:   Laura Buxton, age ten, releases a balloon from her backyard. It lands 140 miles away in the backyard of another Laura Buxton, also age...
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Computer-Assisted Simulation of Dynamic Systems with Block Diagram Languages
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Computer-Assisted Simulation of Dynamic Systems with Block Diagram Languages
by Nicholas Mark Karayanakis

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Computer-Assisted Simulation of Dynamic Systems with Block Diagram Languages explores the diverse applications of these indispensable simulation tools. The first book of its kind, it bridges the gap between block diagram languages and traditional...
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Deep Simplicity: Bringing Order to Chaos and Complexity
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Deep Simplicity: Bringing Order to Chaos and Complexity
by John Gribbin

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Over the past two decades, no field of scientific inquiry has had a more striking impact across a wide array of disciplines–from biology to physics, computing to meteorology–than that known as chaos and complexity, the study of complex...
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Stable Isotopes and Biosphere - Atmosphere Interactions: Processes and Biological Controls
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Stable Isotopes and Biosphere - Atmosphere Interactions: Processes and Biological Controls
by L. B. Flanagan

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The emerging multidisciplinary field of earth system science sets out to improve our understanding functioning ecosystems, at a global level across the entire planet. Stable Isotopes and Biosphere - Atmosphere Interactions looks to one of its most...
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NATO Asi Series. Series A, Life Sciences #45: Fractals' Physical Origin and Properties
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NATO Asi Series. Series A, Life Sciences #45: Fractals' Physical Origin and Properties
by Luciano Pietronero

Synopsis
Proceedings of the Special Seminar on Fractals, held October 1988, in Erice, Italy. Most of the contributions are theoretical, but some experimental work is also included. They discuss multifractals and turbulence, fractal properties of critical...
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Fractals, Graphics and Mathematics Education
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Fractals, Graphics and Mathematics Education
by Michael Frame

Publisher Comments
FractalGeometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also appears in art, music and literature, most often without being consciously included by the...
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Explaining Chaos
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Explaining Chaos
by Peter Smith

Publisher Comments
Chaotic dynamics has been hailed as the third great scientific revolution in physics in this century, comparable to relativity and quantum mechanics. In this book, Peter Smith takes a cool, critical look at such claims. He cuts through the hype and...
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The Science of Fractal Images
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The Science of Fractal Images
by Heinz Otto Peitgen

Publisher Comments
This book is based on notes for the course Fractals: Introduction, Basics and Perspectives given by Michael F. Barnsley, Robert L. Devaney, Heinz-Otto Peitgen, Dietmar Saupe and Richard F. Voss. The Course was chaired by Heinz-Otto Peitgen and was part...
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