Chaos & Systems Books

The Drunkard's Walk: How Randomness Rules Our Lives

Leonard Mlodinow

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Total reviews: 35 Average rating: 4.5 of 5

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Amazon Guest Review: Stephen Hawking
Published in 1988, Stephen Hawking's A Brief History of Time became perhaps one of the unlikeliest bestsellers in history: a not-so-dumbed-down exploration of physics and the universe that occupied the London Sunday Times bestseller list for 237 weeks. Later successes include 1995's A Briefer History of Time, The Universe in a Nutshell, and God Created the Integers: The Mathematical Breakthroughs that Changed History. Stephen Hawking is Lucasian Professor of Mathematics at the University of Cambridge.

In The Drunkard's Walk Leonard Mlodinow provides readers with a wonderfully readable guide to how the mathematical laws of randomness affect our lives. With insight he shows how the hallmarks of chance are apparent in the course of events all around us. The understanding of randomness has brought about profound changes in the way we view our surroundings, and our universe. I am pleased that Leonard has skillfully explained this important branch of mathematics. --Stephen Hawking

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Linked: How Everything Is Connected to Everything Else and What It Means

Albert-Laszlo Barabasi

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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

Chaos: Making a New Science

James Gleick

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Few writers distinguish themselves by their ability to write about complicated, even obscure topics clearly and engagingly. James Gleick, a former science writer for the New York Times, resides in this exclusive category. In Chaos, he takes on the job of depicting the first years of the study of chaos--the seemingly random patterns that characterize many natural phenomena.

This is not a purely technical book. Instead, it focuses as much on the scientists studying chaos as on the chaos itself. In the pages of Gleick's book, the reader meets dozens of extraordinary and eccentric people. For instance, Mitchell Feigenbaum, who constructed and regulated his life by a 26-hour clock and watched his waking hours come in and out of phase with those of his coworkers at Los Alamos National Laboratory.

As for chaos itself, Gleick does an outstanding job of explaining the thought processes and investigative techniques that researchers bring to bear on chaos problems. Rather than attempt to explain Julia sets, Lorenz attractors, and the Mandelbrot Set with gigantically complicated equations, Chaos relies on sketches, photographs, and Gleick's wonderful descriptive prose.

Emergence: The Connected Lives of Ants, Brains, Cities, and Software

Steven Johnson

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Total reviews: 82 Average rating: 3.5 of 5

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An individual ant, like an individual neuron, is just about as dumb as can be. Connect enough of them together properly, though, and you get spontaneous intelligence. Web pundit Steven Johnson explains what we know about this phenomenon with a rare lucidity in Emergence: The Connected Lives of Ants, Brains, Cities, and Software. Starting with the weird behavior of the semi-colonial organisms we call slime molds, Johnson details the development of increasingly complex and familiar behavior among simple components: cells, insects, and software developers all find their place in greater schemes.

Most game players, alas, live on something close to day-trader time, at least when they're in the middle of a game--thinking more about their next move than their next meal, and usually blissfully oblivious to the ten- or twenty-year trajectory of software development. No one wants to play with a toy that's going to be fun after a few decades of tinkering--the toys have to be engaging now, or kids will find other toys.

Johnson has a knack for explaining complicated and counterintuitive ideas cleverly without stealing the scene. Though we're far from fully understanding how complex behavior manifests from simple units and rules, our awareness that such emergence is possible is guiding research across disciplines. Readers unfamiliar with the sciences of complexity will find Emergence an excellent starting point, while those who were chaotic before it was cool will appreciate its updates and wider scope. --Rob Lightner

Complex Adaptive Systems: An Introduction to Computational Models of Social Life (Princeton Studies in Complexity)

John H. Miller, Scott E. Page

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Total reviews: 7 Average rating: 4.5 of 5

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This book provides the first clear, comprehensive, and accessible account of complex adaptive social systems, by two of the field's leading authorities. Such systems--whether political parties, stock markets, or ant colonies--present some of the most intriguing theoretical and practical challenges confronting the social sciences. Engagingly written, and balancing technical detail with intuitive explanations, Complex Adaptive Systems focuses on the key tools and ideas that have emerged in the field since the mid-1990s, as well as the techniques needed to investigate such systems. It provides a detailed introduction to concepts such as emergence, self-organized criticality, automata, networks, diversity, adaptation, and feedback. It also demonstrates how complex adaptive systems can be explored using methods ranging from mathematics to computational models of adaptive agents.

John Miller and Scott Page show how to combine ideas from economics, political science, biology, physics, and computer science to illuminate topics in organization, adaptation, decentralization, and robustness. They also demonstrate how the usual extremes used in modeling can be fruitfully transcended.

Sync: How Order Emerges from Chaos in the Universe, Nature, and Daily Life

Steven H. Strogatz

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Total reviews: 56 Average rating: 4.5 of 5

Heavy Science for Light Readers 4 out of 5 stars.
3 of 3 people found this review helpful.

What a fun book. Strogatz has managed to talk about the leading edge of mathematical modeling without a single equation! He uses a comfortable prose and never strays too far from the story of his research. The reader is treated to a view of the way that the world network of scientists organizes itself within areas of research and finds unions where research from one speciality can contribute to another. Who would have thought that the western power grid, the Internet Movie Database and the nervous system of a worm called C. elegans could be effectively modeled with the same operational principles.

Editorial Review:

he tendency to synchronize may be the most mysterious and pervasive drive in all of nature. It has intrigued some of the most brilliant minds of the 20th century, including Albert Einstein, Richard Feynman, Norbert Wiener, Brian Josephson, and Arthur Winfree. At once elegant and riveting, Sync tells the story of the dawn of a new science. Steven Strogatz, a leading mathematician in the fields of chaos and complexity theory, explains how enormous systems can synchronize themselves, from the electrons in a superconductor to the pacemaker cells in our hearts. He shows that although these phenomena might seem unrelated on the surface, at a deeper level there is a connection, forged by the unifying power of mathematics.

Modeling and Analysis of Dynamic Systems

Charles M. Close, Dean K. Frederick, Jonathan C. Newell

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Total reviews: 2 Average rating: 4.0 of 5

Good book for a first course in system modeling 4 out of 5 stars.
10 of 10 people found this review helpful.

I had to buy this book for my last semester in electrical engineering. It is a good choice as an introduction to mathematical tools used in representation and analysis of dynamic systems, electrical or mecanical.

First, there are a few chapters about basic notions of dynamic (translational and rotational. You can pass this part quickly if you had a few mechanic classes, because it is just to show the good way to represent systems in modeling. Next, a good explanation of state variable modeling, transfert function, linear vs non linear equations, etc, is well written, with good examples, without too advanced maths. If you have learned basic notions in calculus and linear algebra, you can follow the text pretty easily.

Editorial Review:

The book presents the methodology applicable to the modeling and analysis of a variety of dynamic systems, regardless of their physical origin. It includes detailed modeling of mechanical, electrical, electro-mechanical, thermal, and fluid systems. Models are developed in the form of state-variable equations, input-output differential equations, transfer functions, and block diagrams. The Laplace-transform is used for analytical solutions. Computer solutions are based on MATLAB and Simulink.

Six Degrees: The Science of a Connected Age (Open Market Edition)

Duncan J. Watts

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You may be only six degrees away from Kevin Bacon, but would he let you borrow his car? It depends on the structures within the network that links you. When the power goes out, when we find that a stranger knows someone we know, when dot-com stocks soar in price, networks are evident. In Six Degrees, sociologist Duncan Watts examines networks like these: what they are, how they're being studied, and what we can use them for. To illustrate the often complicated mathematics that describe such structures, Watts uses plenty of examples from life, without which this book would quickly move beyond a general science readership. Small chapters make each thought-provoking conclusion easy to swallow, though some are hard to digest. For instance, in a short bit on "coercive externalities," Watts sums up sociological research showing that:

"Conversations concerning politics displayed a consistent pattern .... On election day, the strongest predictor of electoral success was not which party an individual privately supported but which party he or she expected would win."

Six Degrees attempts to help readers understand the new and exciting field of networks and complexity. While considerably more demanding than a general book like The Tipping Point, it offers readers a snapshot of a riveting moment in science, when understanding things like disease epidemics and the stock market seems almost within our reach. --Therese Littleton

Resilience Thinking: Sustaining Ecosystems and People in a Changing World

Brian Walker, David Salt

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Increasingly, cracks are appearing in the capacity of communities, ecosystems, and landscapes to provide the goods and services that sustain our planet's well-being. The response from most quarters has been for "more of the same" that created the situation in the first place: more control, more intensification, and greater efficiency.



"Resilience thinking" offers a different way of understanding the world and a new approach to managing resources. It embraces human and natural systems as complex entities continually adapting through cycles of change, and seeks to understand the qualities of a system that must be maintained or enhanced in order to achieve sustainability. It explains why greater efficiency by itself cannot solve resource problems and offers a constructive alternative that opens up options rather than closing them down.



In Resilience Thinking, scientist Brian Walker and science writer David Salt present an accessible introduction to the emerging paradigm of resilience. The book arose out of appeals from colleagues in science and industry for a plainly written account of what resilience is all about and how a resilience approach differs from current practices. Rather than complicated theory, the book offers a conceptual overview along with five case studies of resilience thinking in the real world. It is an engaging and important work for anyone interested in managing risk in a complex world.

Systems Theory and Family Therapy: A Primer

Becvar Raphael J.

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Total reviews: 1 Average rating: 5.0 of 5

Engaging, challenging, extremely well written 5 out of 5 stars.
7 of 7 people found this review helpful.

The Becvar's once again offer top-notch explanations of a sometimes difficult subject. This book is a must read for all individuals interested in integrating strong systems thinking and intervention into practice.

Editorial Review:

Systems Theory and Family Therapy describes the basic concepts of systems theory and its application in family therapy in a clear, understandable manner with many illustrations drawn from clinical practice. This edition provides a revised and updated version of the original, that simplifies a complex area of study, enabling students to learn the subject more easily without being overwhelmed by the language normally employed in presenting these subjects. The authors discuss the distinctions between modernism and postmodernism as well as first-order and second-order cybernetics. They also include discussions of constructivism and social constructionism, as well as the ramifications of these perspectives for the theory and practice of family therapy.