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Chaos & Systems


Chaos: A Very Short Introduction

Chaos: A Very Short Introduction Lowest new price: $5.73
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Author: Lenny Smith

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.

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The End of Certainty

The End of Certainty Lowest new price: $13.36
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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.

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Deep Simplicity: Bringing Order to Chaos and Complexity

Deep Simplicity: Bringing Order to Chaos and Complexity Lowest new price: $9.67
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Author: John Gribbin

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.

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Seven Life Lessons of Chaos: Spiritual Wisdom from the Science of Change

Seven Life Lessons of Chaos: Spiritual Wisdom from the Science of Change Lowest new price: $3.97
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Author: John Briggs

If you have ever felt your life was out of control and headed toward chaos,science has an important message: Life is chaos, and that's a very exciting thing!

In this eye-opening book, John Briggs and F. David Peat reveal sevenenlightening lessons for embracing the chaos of daily life.

Be Creative:
engage with chaos to find imaginative new solutions and live more dynamically

Use Butterfly Power:
let chaos grow local efforts into global results

Go With the Flow:
use chaos to work collectively with others

Explore What's Between:
discover life's rich subtleties and avoid the traps of stereotypes

See the Art of the World:
appreciate the beauty of life's chaos

Live Within Time:
utilize time's hidden depths

Rejoin the Whole:
realize our fractal connectedness to each other and the world

Life is impossible to control--instead of fighting this truth, Seven Life Lessons of Chaos shows you how to accept, celebrate, and use it to live life to its fullest.

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Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics)

Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics) Lowest new price: $70.51
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Author: Stephen Wiggins

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms.

From the reviews:

"Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

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Stochastic Controls: Hamiltonian Systems and HJB Equations (Stochastic Modelling and Applied Probability)

Stochastic Controls: Hamiltonian Systems and HJB Equations (Stochastic Modelling and Applied Probability) Lowest new price: $128.35
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Author: Jiongmin Yong

The maximum principle and dynamic programming are the two most commonly used approaches in solving optimal control problems. These approaches have been developed independently. The theme of this book is to unify these two approaches, and to demonstrate that the viscosity solution theory provides the framework to unify them.

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Chaos: The Making of a New Science

Chaos: The Making of a New Science Lowest new price: $12.55
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Author: James Gleick

Popular science.

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.

Features:

  • 352 pages 6 x 9 inches

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Engineering Uncertainty and Risk Analysis, Second Edition: A Balanced Approach to Probability, Statistics, Stochastic Models, and Stochastic Differential Equations

Engineering Uncertainty and Risk Analysis, Second Edition: A Balanced Approach to Probability, Statistics, Stochastic Models, and Stochastic Differential Equations Lowest new price: $126.48
Lowest used price: $109.89
List price: $179.99
Author: Ph.D., Sergio E. Serrano
Brand: Brand: HydroScience, Incorporated

An integrated coverage of probability, statistics, Monte Carlo simulation, inferential statistics, design of experiments, systems reliability, fitting random data to models, analysis of variance, stochastic processes, and stochastic differential equations. The author for first time presents an introduction to the broad field of applied engineering uncertainty analysis in one comprehensive, friendly, coverage. Each concept is illustrated with several examples of relevance in engineering applications (no cards, colored balls, or dice). This edition includes new research advances in nonlinear stochastic equations; simple methods to solve and graph boundary-value problems in several dimensions; 478 pages; 177 solved examples; 147 proposed problems; 174 illustrations, 69 short computer programs; and 51 data and statistical tables. AEROSPACE (from the Royal Aeronautical Society): “...an integrated, balanced, and clear presentation to probability, statistics, stochastic models, and stochastic differential equations. The aim is to demonstrate to the reader that the fundamental principles are inherently simple and that the methods are practical and extremely useful in everyday engineering analysis or design. The book succeeds admirably in these aims.” QUALITY AND RELIABILITY INTERNATIONAL: “...discusses uncertainty in engineering... The essential differences are beautifully explained, providing a philosophical and practical basis for the rest of the book. This essential introduction is lacking in most books on statistics applications in engineering ...Overall, the book presents clear and interesting descriptions and explanations. The level of mathematics is appropriate to reasonably numerate engineers, and the use of spreadsheets and Maple enhance the practical value to engineers. I strongly recommend this book to design and systems engineers...” STOCHASTIC ENVIRONMENTAL RESEARCH ANS RISK ASSESSMENT: "...written in a clear and easy-to-understand manner. It requires no prior background in statistics... it has numerous solved practical examples... and a significant amount of new material. The emphasis is on concepts and their illustration, and the author has made a concerted effort in avoiding lengthy derivations and this is an attractive feature from a student’s perspective."

Features:

  • Used Book in Good Condition

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How Nature Works: the science of self-organized criticality

How Nature Works: the science of self-organized criticality Lowest new price: $12.96
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Author: Per Bak

Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. " . . . a 'must read' . . . Bak writes with such ease and lucidity, and his ideas are so intriguing . . . essential reading for those interested in complex systems . . . it will reward a sufficiently skeptical reader" -NATURE " . . . presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader" -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray . . . His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience" -NEW SCIENTIST

. . . In print, at least, what might seem arrogant comes across as a kind of innocent, childlike enthusiasm, a lack of concern for anything but the sheer joy of figuring things out. His ruthless simplifications of geology, evolution, and neurology pay off because, as Bak notes, his models describe behavior that is common across these domains. This universality means that trampling across others' turf is not only acceptable, but almost mandatory, if the underlying principles are to be exposed. Finally, for the most part, Bak wants the reader to grasp the basic logic of his arguments; only rarely does he try to persuade with flights of poetic language or brute intellectual authority.

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Chaos in Dynamical Systems

Chaos in Dynamical Systems Lowest new price: $78.30
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List price: $105.00
Author: Edward Ott

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. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors.

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