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Chaos & Systems


Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Studies in Nonlinearity) (Volume 1)

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Studies in Nonlinearity) (Volume 1) Lowest new price: $61.75
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Author: Steven H. Strogatz
Brand: imusti

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Features:

  • Westview Press

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The Drunkard's Walk: How Randomness Rules Our Lives

The Drunkard's Walk: How Randomness Rules Our Lives Lowest new price: $5.55
Lowest used price: $1.78
List price: $16.95
Author: Leonard Mlodinow
Brand: Vintage Books USA

With the born storyteller's command of narrative and imaginative approach, Leonard Mlodinow vividly demonstrates how our lives are profoundly informed by chance and randomness and how everything from wine ratings and corporate success to school grades and political polls are less reliable than we believe.

By showing us the true nature of chance and revealing the psychological illusions that cause us to misjudge the world around us, Mlodinow gives us the tools we need to make more informed decisions. From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

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  • Vintage Books USA

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Chaos: Making a New Science

Chaos: Making a New Science Lowest new price: $13.29
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Author: James Gleick
Brand: Penguin Books

The million-copy bestseller by National Book Award nominee and Pulitzer Prize finalist James Gleick—the author of Time Travel: A History—that reveals the science behind chaos theory

A work of popular science in the tradition of Stephen Hawking and Carl Sagan, this 20th-anniversary edition of James Gleick’s groundbreaking bestseller Chaos introduces a whole new readership to chaos theory, one of the most significant waves of scientific knowledge in our time. From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

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  • Penguin Books

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The U.S. Constitution And Fascinating Facts About It

The U.S. Constitution And Fascinating Facts About It Lowest new price: $0.49
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Author: Terry L. Jordan
Brand: Brand: Oak Hill Publishing Co

In The U.S. Constitution & Fascinating Facts About It you'll see the entire text of the Constitution, the Bill of Rights and the Declaration of Independence–and much more! You'll find interesting insights into the men who wrote the Constitution, how it was created, and how the Supreme Court has interpreted the Constitution in the two centuries since its creation.

Features:

  • Used Book in Good Condition

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Deep Simplicity: Bringing Order to Chaos and Complexity

Deep Simplicity: Bringing Order to Chaos and Complexity Lowest new price: $17.00
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Author: John Gribbin
Brand: Random House

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 systems. Now astrophysicist John Gribbin draws on his expertise to explore, in prose that communicates not only the wonder but the substance of cutting-edge science, the principles behind chaos and complexity. He reveals the remarkable ways these two revolutionary theories have been applied over the last twenty years to explain all sorts of phenomena–from weather patterns to mass extinctions.

Grounding these paradigm-shifting ideas in their historical context, Gribbin also traces their development from Newton to Darwin to Lorenz, Prigogine, and Lovelock, demonstrating how–far from overturning all that has gone before–chaos and complexity are the triumphant extensions of simple scientific laws. Ultimately, Gribbin illustrates how chaos and complexity permeate the universe on every scale, governing the evolution of life and galaxies alike.

Features:

  • Random House

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The Web of Life: A New Scientific Understanding of Living Systems

The Web of Life: A New Scientific Understanding of Living Systems Lowest new price: $6.65
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Author: Fritjof Capra
Brand: Capra, Fritjof

The vitality and accessibility of Fritjof Capra's ideas have made him perhaps the most eloquent spokesperson of the latest findings emerging at the frontiers of scientific, social, and philosophical thought. In his international bestsellers The Tao of Physics and The Turning Point, he juxtaposed physics and mysticism to define a new vision of reality. In The Web of Life, Capra takes yet another giant step, setting forth a new scientific language to describe interrelationships and interdependence of psychological, biological, physical, social, and cultural phenomena--the "web of life."



During the past twenty-five years, scientists have challenged conventional views of evolution and the organization of living systems and have developed new theories with revolutionary philosophical and social implications. Fritjof Capra has been at the forefront of this revolution. In The Web of Life, Capra offers a brilliant synthesis of such recent scientific breakthroughs as the theory of complexity, Gaia theory, chaos theory, and other explanations of the properties of organisms, social systems, and ecosystems. Capra's surprising findings stand in stark contrast to accepted paradigms of mechanism and Darwinism and provide an extraordinary new foundation for ecological policies that will allow us to build and sustain communities without diminishing the opportunities for future generations.



Now available in paperback for the first time, The Web of Life is cutting-edge science writing in the tradition of James Gleick's Chaos, Gregory Bateson's Mind and Matter, and Ilya Prigogine's Order Out of Chaos.

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Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life

Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life Lowest new price: $7.19
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Author: Albert-laszlo Barabasi

The best-selling guide to network science, the revolutionary field that reveals the deep links between all forms of human social life

A cocktail party. A terrorist cell. Ancient bacteria. An international conglomerate. All are networks, and all are a part of a surprising scientific revolution. In Linked, Albert-László Barabási, the nation's foremost expert in the new science of networks, takes us on an intellectual adventure to prove that social networks, corporations, and living organisms are more similar than previously thought. Barabási shows that grasping a full understanding of network science will someday allow us to design blue-chip businesses, stop the outbreak of deadly diseases, and influence the exchange of ideas and information. Just as James Gleick and the Erdos-Rényi model brought the discovery of chaos theory to the general public, Linked tells the story of the true science of the future and of experiments in statistical mechanics on the internet, all vital parts of what would eventually be called the Barabási-Albert model.

How is the human brain like the AIDS epidemic? Ask physicist Albert-László Barabási and he'll explain them both in terms of networks of individual nodes connected via complex but understandable relationships. Linked: The New Science of Networks is his bright, accessible guide to the fundamentals underlying neurology, epidemiology, Internet traffic, and many other fields united by complexity.

Barabási's gift for concrete, nonmathematical explanations and penchant for eccentric humor would make the book thoroughly enjoyable even if the content weren't engaging. But the results of Barabási's research into the behavior of networks are deeply compelling. Not all networks are created equal, he says, and he shows how even fairly robust systems like the Internet could be crippled by taking out a few super-connected nodes, or hubs. His mathematical descriptions of this behavior are helping doctors, programmers, and security professionals design systems better suited to their needs. Linked presents the next step in complexity theory--from understanding chaos to practical applications. --Rob Lightner

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A Crude Look at the Whole: The Science of Complex Systems in Business, Life, and Society

A Crude Look at the Whole: The Science of Complex Systems in Business, Life, and Society Lowest new price: $14.12
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Author: John H. Miller

A top expert explains why a social and economic understanding of complex systems will help society to anticipate and confront our biggest challenges

Imagine trying to understand a stained glass window by breaking it into pieces and examining it one shard at a time. While you could probably learn a lot about each piece, you would have no idea about what the entire picture looks like. This is reductionism--the idea that to understand the world we only need to study its pieces--and it is how most social scientists approach their work.

In A Crude Look at the Whole, social scientist and economist John H. Miller shows why we need to start looking at whole pictures. For one thing, whether we are talking about stock markets, computer networks, or biological organisms, individual parts only make sense when we remember that they are part of larger wholes. And perhaps more importantly, those wholes can take on behaviors that are strikingly different from that of their pieces.
Miller, a leading expert in the computational study of complex adaptive systems, reveals astounding global patterns linking the organization of otherwise radically different structures: It might seem crude, but a beehive's temperature control system can help predict market fluctuations and a mammal's heartbeat can help us understand the "heartbeat" of a city and adapt urban planning accordingly. From enduring racial segregation to sudden stock market disasters, once we start drawing links between complex systems, we can start solving what otherwise might be totally intractable problems.

Thanks to this revolutionary perspective, we can finally transcend the limits of reductionism and discover crucial new ideas. Scientifically founded and beautifully written, A Crude Look at the Whole is a powerful exploration of the challenges that we face as a society. As it reveals, taking the crude look might be the only way to truly see.

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Chaos: A Very Short Introduction

Chaos: A Very Short Introduction Lowest new price: $0.89
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List price: $11.95
Author: Lenny Smith
Brand: Oxford University Press

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 an intuitive understanding of chaotic systems. He uses accessible math and physics to explain Chaos Theory, and points to numerous examples in philosophy and literature that illuminate the problems. This book provides a complete understanding of chaotic dynamics, using examples from mathematics, physics, philosophy, and the real world, with an explanation of why chaos is important and how it differs from the idea of randomness. The author's real life applications include the weather forecast, a pendulum, a coin toss, mass transit, politics, and the role of chaos in gambling and the stock market. Chaos represents a prime opportunity for mathematical lay people to finally get a clear understanding of this fascinating concept.

About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

Features:

  • Oxford University Press

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The End of Certainty

The End of Certainty Lowest new price: $10.51
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List price: $25.00
Author: Ilya Prigogine
Brand: Free Press

Time, the fundamental dimension of our existence, has fascinated artists, philosophers, and scientists of every culture and every century. All of us can remember a moment as a child when time became a personal reality, when we realized what a "year" was, or asked ourselves when "now" happened. Common sense says time moves forward, never backward, from cradle to grave. Nevertheless, Einstein said that time is an illusion. Nature's laws, as he and Newton defined them, describe a timeless, deterministic universe within which we can make predictions with complete certainty. In effect, these great physicists contended that time is reversible and thus meaningless.

In this intellectually challenging book, Nobel laureate Ilya Prigogine tackles some of the difficult questions that bedevil physicists trying to provide an explanation for the world we observe. How is it, for instance, that basic principles of quantum mechanics--which lack any differentiation between forward and backward directions in time--can explain a world with an "arrow of time" headed unambiguously forward? And how do we escape classical physics' assertion that the world is deterministic? In a sometimes mathematical and frequently mind-bending book, Prigogine explores deterministic chaos, nonequilibrium thermodynamics, and even cosmology and the origin of the universe in an attempt to reach an explanation that can reconcile physical laws with subjective reality.

Features:

  • Free Press

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