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Chaos & Systems


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

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity) Lowest new price: $56.00
Lowest used price: $55.97
List price: $65.00
Author: Steven H. Strogatz
Brand: Steven H Strogatz

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.

A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.

In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind.

Features:

  • Nonlinear Dynamics and Chaos With Applications to Physics Biology Chemistry and Engineering Studies in Nonlinearity

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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: $6.82
Lowest used price: $1.92
List price: $16.95
Author: Leonard Mlodinow
Brand: Mlodinow, Leonard

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.

 

Features:

  • Vintage Books USA

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Chaos: Making a New Science

Chaos: Making a New Science Lowest new price: $12.13
Lowest used price: $2.93
List price: $21.00
Author: James Gleick
Brand: James Gleick

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.

Features:

  • Chaos Making a New Science

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Evolution, Monitoring and Predicting Models of Rockburst: Precursor Information for Rock Failure

Evolution, Monitoring and Predicting Models of Rockburst: Precursor Information for Rock Failure Lowest new price: $59.98
Lowest used price: $62.98
List price: $59.99
Author: Chunlai Wang

This open access book focuses on investigating predicting precursor information and key points of rockburst in mining engineering through laboratory experiment, theoretical analysis, numerical simulation and case studies. Understanding the evolution patterns for the microstructure instability of rock is a prerequisite for rockburst prediction. The book provides a guide for readers seeking to understand the evolution patterns for the microstrucure of rock failure, the predicting key point of rock failure and the rockburst predicting model. It will be an essential reference to understand mechanism of rockburst and sheds new light on dynamic disasters prediction. Chapters are carefully developed to cover (1) The evolution patterns for the microstructure instability of rock; (2) Rockburst hazard monitoring and predicting criterion and predicting models. The book addresses the issue with a holistic and systematic approach that investigates the occurrence mechanism of rockburst based on the evolution patterns for the microstructure of rock failure and establishes the predicting model of rockburst.

This book will be of interest to researchers of mining engineering, rock mechanics engineering and safety engineering.


The U.S. Constitution And Fascinating Facts About It

The U.S. Constitution And Fascinating Facts About It Lowest new price: $2.25
Lowest used price: $0.25
List price: $3.95
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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Student Solutions Manual for Nonlinear Dynamics and Chaos, 2nd edition

Student Solutions Manual for Nonlinear Dynamics and Chaos, 2nd edition Lowest new price: $13.50
Lowest used price: $11.42
List price: $19.99
Author: Mitchal Dichter
Brand: Steven H Strogatz Mitchal Dichter

This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the second edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. The textbook and accompanying Student Solutions Manual are aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. Complete with graphs and worked-out solutions, this manual demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects Strogatz explores in his popular book.

Features:

  • Student Solutions Manual for Nonlinear Dynamics and Chaos 2nd edition

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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: $8.78
Lowest used price: $4.17
List price: $17.99
Author: Albert-laszlo Barabasi
Brand: Albert L szl Barab si

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

Features:

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

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Ubiquity: Why Catastrophes Happen

Ubiquity: Why Catastrophes Happen Lowest new price: $10.71
Lowest used price: $3.31
List price: $16.00
Author: Mark Buchanan
Brand: Mark Buchanan

Critically acclaimed science journalist, Mark Buchanan tells the fascinating story of the discovery that there is a natural structure of instability woven into the fabric of our world, which explains why catastrophes-- both natural and human-- happen.

Scientists have recently discovered a new law of nature and its footprints are virtually everywhere-- in the spread of forest fires, mass extinctions, traffic jams, earthquakes, stock-market fluctuations, the rise and fall of nations, and even trends in fashion, music and art. Wherever we look, the world is modelled on a simple template: like a steep pile of sand, it is poised on the brink of instability, with avalanches-- in events, ideas or whatever-- following a universal pattern of change. This remarkable discovery heralds what Mark Buchanan calls the new science of 'ubiquity', a science whose secret lies in the stuff of the everyday world. Combining literary flair with scientific rigour, this enthralling book documents the coming revolution by telling the story of the researchers' exploration of the law, their ingenious work and unexpected insights.

Buchanan reveals that we are witnessing the emergence of an extraordinarily powerful new field of science that will help us comprehend the bewildering and unruly rhythms that dominate our lives and may even lead to a true science of the dynamics of human culture and history.

Earthquakes, market crashes, hurricanes, wars: are these random forces of nature, or foreseeable blips on the radar screen of history? In this lively book, science journalist Mark Buchanan introduces readers to a developing branch of science that looks for order in what seems to be utmost chaos.

In the late 1980s, three physicists set out to investigate the apparently inherent instability of complex systems. In a process that Buchanan illustrates by analogy with a sand pile, they discovered that these systems tend to arrive at a "critical state," after which point any random grain falling in just the right place can touch off an avalanche. So it is, Buchanan shows us, with the onset of world wars, economic shocks, traffic gridlock, and other dislocating events--all of which this new science may one day help predict.

In clear and vigorous prose, Buchanan brings readers insights from nonequilibrium physics, offering a new way of seeing the "fingers of instability" that poke through the world's fabric--and that in turn make it such an interesting place. --Gregory McNamee

Features:

  • Ubiquity Why Catastrophes Happen

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Deep Simplicity: Bringing Order to Chaos and Complexity

Deep Simplicity: Bringing Order to Chaos and Complexity Lowest new price: $16.01
Lowest used price: $9.97
List price: $27.00
Author: John Gribbin
Brand: 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:

  • Used Book in Good Condition

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Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Edition

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Edition Lowest new price: $60.07
Lowest used price: $39.00
List price: $99.95
Author: Morris W. Hirsch
Brand: imusti

Hirsch, Devaney, and Smale’s classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations. Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems.

  • Classic text by three of the world’s most prominent mathematicians
  • Continues the tradition of expository excellence
  • Contains updated material and expanded applications for use in applied studies

Features:

  • Academic Press

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