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Chaos & Systems


The Leadership Dance: Pathways to Extraordinary Organizational Effectiveness

The Leadership Dance: Pathways to Extraordinary Organizational Effectiveness Lowest new price: $25.44
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Author: Richard N Knowles
Brand: Brand: Center for Self Organizing Leadership

This is the story of Dick Knowles' personal journey in learning how to lead more effectively in this turbulent, unpredictable world. The newly discovered processes and models presented here apply to leadership tasks at all levels in the organisation, and will lead to improvements in effectiveness of as much as 30-40 per cent by enabling you to open up the flow of energy and creativity in your organisation.

He introduces and describes his creation and development of the Process Enneagram(C) which seems to be the missing link between complexity theory and practical application. It is the only known tool that simultaneously helps people to solve complex problems, build the social connections they need to do the work and releases the emotional energy and commitment to do the work quickly and well.

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The Predictors: How a Band of Maverick Physicists Used Chaos Theory to Trade Their Way to a Fortune on Wall Street

The Predictors: How a Band of Maverick Physicists Used Chaos Theory to Trade Their Way to a Fortune on Wall Street Lowest new price: $16.53
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Author: Thomas A. Bass
Brand: Brand: Holt Paperbacks

Excerpted in The New Yorker and hailed by the business press, The Predictors is destined to become a classic of its generation--an antic, subversive odyssey into a universe defined by the mystical convergence of physics and finance.

How could a couple of rumpled physicists in sandals and Eat-the-Rich T-shirts, piling computers into an adobe house in Santa Fe, hope to take on the masters of the universe from Morgan Stanley? Doyne Farmer and Norman Packard may never have read The Wall Street Journal, but they happen to be among the founders of the new sciences of chaos and complexity. Who better to try to find order in the apparently unreasoned chaos of the global financial markets? Thomas A. Bass takes us inside their start-up company, following it from its inception as a motley collection of longhaired Ph.D.s to its passage into the centers of financial power, where "the predictors" find investors and finally go live with real money. The Predictors is a dizzying, often hilarious tale of genius and greed.

Using a computer to beat Wall Street from afar is, arguably, the new American dream. While it will remain just that for most of us, an offbeat gang of academics turned financial wizards is showing it can be done. Led by acclaimed physicists Doyne Farmer and Norman Packard, the Santa Fe-based Prediction Company has proven since its 1991 founding in an adobe bungalow furnished with plastic lawn chairs and top-of-the-line Sun workstations that it is indeed possible to make millions in the world's financial markets by anticipating trends and developing software that automatically capitalizes on them. In The Predictors, Thomas A. Bass colorfully relates their tale of fiscal triumph--and reveals in the process how even an unorthodox group of antibusiness intellectuals in far-off New Mexico can make the world's biggest institutions sit up and take notice.

Long esteemed in the scientific community, Farmer and Packard have become legendary in hacker circles since their failed attempt to beat the roulette tables in Las Vegas with toe-operated computers was chronicled in Bass's well-regarded 1985 book called The Eudaemonic Pie. This time, though, the two hit the jackpot with their cutting-edge computer programs and the company they created to trade German marks, Chicago commodities, Japanese treasury bonds, Texas oil futures, and New York securities. Bass's prose is a bit flowery at times, but his perceptive you-are-there account is nonetheless entertaining and sure to cement the pair's reputation as today's ultimate masters of "phynance," the successful, and now oft-copied, merger of physics and finance. --Howard Rothman

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From Calculus to Chaos: An Introduction to Dynamics

From Calculus to Chaos: An Introduction to Dynamics Lowest new price: $41.58
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Author: David Acheson

What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e., of how--and why--things change with time. Problems of this kind lie at the heart of much of applied mathematics, physics, and engineering. From Calculus to Chaos takes a fresh approach to the subject as a whole, by moving from first steps to the frontiers, and by focusing on the many important and interesting ideas which can get lost amid a snowstorm of detail in conventional texts. The book is aimed at a wide readership, and assumes only some knowledge of elementary calculus. There are exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. David Acheson's book will inspire new students by providing a foretaste of more advanced mathematics and some of its liveliest applications.

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Complex and Adaptive Dynamical Systems: A Primer

Complex and Adaptive Dynamical Systems: A Primer Lowest new price: $59.99
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Author: Claudius Gros

This primer offers readers an introduction to the central concepts that form our modern understanding of complex and emergent behavior, together with detailed coverage of accompanying mathematical methods. All calculations are presented step by step and are easy to follow.

This new fourth edition has been fully reorganized and includes new chapters, figures and exercises. The core aspects of modern complex system sciences are presented in the first chapters, covering network theory, dynamical systems, bifurcation and catastrophe theory, chaos and adaptive processes, together with the principle of self-organization in reaction-diffusion systems and social animals. Modern information theoretical principles are treated in further chapters, together with the concept of self-organized criticality, gene regulation networks, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain.

Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter includes exercises and suggestions for further reading, and the solutions to all exercises are provided in the last chapter.

From the reviews of previous editions:

This is a very interesting introductory book written for a broad audience of graduate students in natural sciences and engineering. It can be equally well used both for teac

hing and self-education. Very well structured and every topic is illustrated with simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008)

Claudius Gros’ Complex and Adaptive Dynamical Systems: A Primer is a welcome addition to the literature. A particular strength of the book is its emphasis on analytical techniques for studying complex systems. (David P. Feldman, Physics Today, July, 2009).

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Numerical Methods for Stochastic Control Problems in Continuous Time (Stochastic Modelling and Applied Probability)

Numerical Methods for Stochastic Control Problems in Continuous Time (Stochastic Modelling and Applied Probability) Lowest new price: $95.99
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Author: Harold Kushner

Stochastic control is a very active area of research. This monograph, written by two leading authorities in the field, has been updated to reflect the latest developments. It covers effective numerical methods for stochastic control problems in continuous time on two levels, that of practice and that of mathematical development. It is broadly accessible for graduate students and researchers.

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Chaos in Dynamical Systems

Chaos in Dynamical Systems Lowest new price: $90.32
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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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The Chaotic Pendulum

The Chaotic Pendulum Lowest new price: $71.00
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Author: Moshe Gitterman
Brand: Gitterman Moshe

Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology. The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). Another type of chaotic motion (deterministic chaos) occurs in nonlinear systems with only few degrees of freedom. This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multiplicative periodic and random forces. No preliminary knowledge, such as complex mathematical or numerical methods, is required from a reader other than undergraduate courses in mathematical physics. A wide group of researchers, along with students and teachers will, thus, benefit from this definitive book on nonlinear dynamics.

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Chaos and Fractals: New Frontiers of Science

Chaos and Fractals: New Frontiers of Science Lowest new price: $59.00
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Author: Heinz-Otto Peitgen

The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

Fascinating and authoritative, Chaos and Fractals: New Frontiers of Science is a truly remarkable book that documents recent discoveries in chaos theory with plenty of mathematical detail, but without alienating the general reader. In all, this text offers an extremely rich and engaging tour of this quite revolutionary branch of mathematical research.

The most appealing aspect about Chaos and Fractals has to be its hundreds of images and graphics (with dozens in full-color) used to illustrate key concepts. Even the math-averse reader should be able to follow the basic presentation of chaos and fractals here. Since fractals often mimic natural shapes such as mountains, plants, and other biological forms, they lend themselves especially well to visual representation.

Early chapters here document the mathematical oddities (or "monsters") such as the Sierpinski Gasket and the Koch Curve, which laid the groundwork for later discoveries in fractals. The book does a fine job of placing recent discoveries about chaos into a tradition of earlier mathematical research. Its description of the work of mathematicians like Pascal, Kepler, Poincaré, Sierpinski, Koch, and Mandelbrot makes for a fine read, a detective story that ends with the discovery of order in chaos. (For programmers, the authors provide short algorithms and BASIC code, which lets you try out plotting various fractals on your own.)

This is not, however, only a book of pretty pictures. For the reader who needs the mathematics behind chaos theory, the authors in no way dumb down the details. (But because the richer mathematical material is set off from the main text, the general reader can still make headway without getting lost.)

There have been advances in the field since this book's publication in 1992, but Chaos and Fractals remains an authoritative general reference on chaos theory and fractals. A must for math students (and math enthusiasts), Chaos and Fractals also deserves a place on the bookshelf of any general reader or programmer who wants to understand how today's mathematicians and scientists make sense of our world using chaos theory. --Richard Dragan

Topics covered: Overview of fractals and chaos theory, feedback and multiple reduction copy machines (MRCMs), the Cantor Set, the Sierpinski Gasket and Carpet, the Pascal Triangle, the Koch Curve, Julia Sets, similarity, measuring fractal curves, fractal dimensions, transformations and contraction mapping, image compression, chaos games, fractals and nature, L-systems, cellular automata basics, attractors and strange attractors, Henon's Attractor, Rössler and Lorenz Attractors, randomness in fractals, the Brownian motion, fractal landscapes, sensitivity and periodic points, complex arithmetic basics, the Mandelbrot Set, and multifractal measures.


Analysis of Complex Nonlinear Mechanical Systems: A Computer Algebra Assisted Approach (World Scientific Series on Nonlinear Science Series a)

Analysis of Complex Nonlinear Mechanical Systems: A Computer Algebra Assisted Approach (World Scientific Series on Nonlinear Science Series a) Lowest new price: $32.99
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Author: Martin Lesser

The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.


Does God Play Dice? The New Mathematics of Chaos

Does God Play Dice? The New Mathematics of Chaos Lowest new price: $21.72
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Author: Ian Stewart
Brand: Wiley-Blackwell

The revised and updated edition includes three completely newchapters on the prediction and control of chaotic systems. It alsoincorporates new information regarding the solar system and anaccount of complexity theory. This witty, lucid and engaging bookmakes the complex mathematics of chaos accessible and entertaining.

  • Presents complex mathematics in an accessible style.
  • Includes three new chapters on prediction in chaotic systems,control of chaotic systems, and on the concept of chaos.
  • Provides a discussion of complexity theory.

We'd better get used to chaos because it certainly isn't going anywhere. Mathematician Ian Stewart--who is also a very talented writer--shares his insights into the history and nature of the highly complex in Does God Play Dice: The New Mathematics of Chaos. While his delightful phrasings will draw in nearly every reader, those with a strong aversion to figures and formulae should understand that it will be slow going. Chaos math suffuses everything from dreaming to the motion of the planets, and Stewart's words can never match the precision of his numbers. Persistence pays off, though; there are so many "aha" moments of insight herein that it almost qualifies as a religious text. The second edition has been partially revised in the wake of 1990s research, and three exciting new chapters report on prediction and other applications of chaos mathematics. --Rob Lightner

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