Applied Chaos Theory - A Paradigm for Complexity by A. B. Çambel. 1992 First Edition Hardcover Published by Academic Press. Fibonacci Sets, Fractals, Dimensional Fluidity, Metaphysics. Hardcover OP

A. B. Çambel

Published by Academic Press, 1992

About this Item

This is "Applied Chaos Theory - A Paradigm for Complexity" by A. B. Çambel. This is the 1992 First Edition Hardcover published by Academic Press. The hardcover format is now Out of Print (OP). The publisher's description of this book : "This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material in a reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory." ***************************************** CONTENTS : LIVING WITH COMPLEXITY : Characteristics of Complexity; Laplace's Demon; Nonlinearity; A Sneak Preview of Chaos Theory; Degrees of Freedom and Numbers; Dynamical Systems; Scope; Quo vadis? Reduction and Holism / META-QUANTIFICATION OF COMPLEXITY : Facing the New Realities; Hierarchical Approach; Geometric Approach; Algorithmic Complexity / THE ANATOMY OF SYSTEMS AND STRUCTURES : Open, Closed, and Isolated Systems; Phase Space; Equilibrium and Nonequilibrium; Stability and Instability; Parameters to Evaluate Equilibrium; Rayleigh-Bénard Instability; Irreversibility / ATTRACTORS : Fixed-Point Attactors; Limit Cycles; Torus Attractors; Strange Attractors; Bernoulli Shift; Lyapunov Exponential Coefficient; Belousov-Zhabotinsky Reaction / RAPID GROWTH : Malthus's Theory and Exponential Equation; Fibonacci Series / THE LOGISTIC CURVE : Verhulst's Equation; Clues for Technological R&D Planning; Lotka-Volterra Equations / The Discrete Logistic Equation ; The Discrete Logistic Curve; The Morphology of the Discrete Logistic Equation; Return Maps; Bifurcation Diagram; Feigenbaum Universal Numbers; Multivariable Equations / THE DIFFERENT PERSONALITIES OF ENTROPY : Is Entropy for Real? ; Why Muddy the Waters with Entropy? ; Macroscopic Entropy ; Statistical Entropy ; Dynamic Entropies / Dimensions and Scaling : Dimensions ; Hausdorff-Besicovitch Dimension ; Embedding Dimension; Scaling / GALLERY OF MONSTERS : Background; Julia and MandelbrotSets ; Barnsleys Chaos Game / THE DIAGNOSTICS AND CONTROL OF CHAOS : Time Series ; Time Series Analysis ; Log-Normal Distribution and 1/ Noise ; Ising Model ; Chaos Diagnostics ; Chaos Control ; Start Your Own Chaos Laboratory / DISCUSSION TOPICS *************************************** An Excerpt from Professor Çambel's Preface is worth the read, also : "Complexity is ubiquitous. It is in nature as well as artifice. It occurs in large and small systems. It can be tangible or intangible. To be aware of the existence of complexity can be like feeling a 'presence that virtually defies description. As yet there is no agreed-upon explicit definition of complexity, although there are various operational descriptions. How much we frail human beings are meant to understand about complexity is nebulous. The task is both awesome and formidable. Indeed , it may be far too presumptuous to insist that we can explain everything. Perhaps all one should hope for is embodied within a statement by President Emeritus of M. I. T. Jerome B. Wiesner : 'Some problems are just too complicated fro rational, logical Solutions. They admit insights, not answers.' It is in this spirit that I have written this book. I have attempted to explore the potential applications of chaos theory to reveal 'insights' into the structure and dynamics of complex systems. Like any other methodology, chaos theory has its limitations, and is still in its formative stages. I have stepped outside nonlinear dynamics per se, and have included nonequilibrium thermodynamics, information theory, and fra.

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Bibliographic Details

• Title: Applied Chaos Theory - A Paradigm for Complexity by A. B. Çambel. 1992 First Edition Hardcover Published by Academic Press. Fibonacci Sets, Fractals, Dimensional Fluidity, Metaphysics. Hardcover OP
• Publisher: Academic Press
• Publication Date: 1992
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Near Fine
• Dust Jacket Condition: Near Fine
• Seller catalogs:
  • FIRST EDITIONS (Includes 1st Printings, 1st Pap...
  • Quantum Physics
  • Chaos Theory & Complexity