Exploring Chaos

Exploring Chaos PDF Author: Nina Hall
Publisher: W. W. Norton & Company
ISBN: 9780393312263
Category : Mathematics
Languages : en
Pages : 244

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Book Description
Chaos theory is giving scientists fresh insights into all sorts of unruly phenomena-from dripping faucets to swinging pendulums, from the vagaries of the weather to the movements of the planets, from heart rhythms to gold futures. In this collection of front-line reports, edited for the general reader, internationally recognized experts such as Ian Stewart, Robert M. May, and Benoit Mandelbrot draw on the latest research to trace the roots of chaos in modern science and mathematics.

Exploring Chaos

Exploring Chaos PDF Author: Nina Hall
Publisher: W. W. Norton & Company
ISBN: 9780393312263
Category : Mathematics
Languages : en
Pages : 244

Get Book Here

Book Description
Chaos theory is giving scientists fresh insights into all sorts of unruly phenomena-from dripping faucets to swinging pendulums, from the vagaries of the weather to the movements of the planets, from heart rhythms to gold futures. In this collection of front-line reports, edited for the general reader, internationally recognized experts such as Ian Stewart, Robert M. May, and Benoit Mandelbrot draw on the latest research to trace the roots of chaos in modern science and mathematics.

Exploring Chaos

Exploring Chaos PDF Author: Brian Davies
Publisher: CRC Press
ISBN: 0429982496
Category : Mathematics
Languages : en
Pages : 200

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Book Description
This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations.

Exploring Chaos

Exploring Chaos PDF Author: Brian Davies
Publisher: CRC Press
ISBN: 0429971419
Category : Mathematics
Languages : en
Pages : 256

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Book Description
This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations.

An Exploration of Dynamical Systems and Chaos

An Exploration of Dynamical Systems and Chaos PDF Author: John H. Argyris
Publisher: Springer
ISBN: 3662460424
Category : Technology & Engineering
Languages : en
Pages : 884

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Book Description
This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany

Explaining Chaos

Explaining Chaos PDF Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521477475
Category : Philosophy
Languages : en
Pages : 198

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Book Description
A clear and accessible discussion of the ideas and issues behind chaotic dynamics.

Chaos and Grace

Chaos and Grace PDF Author: Mark Galli
Publisher: Baker Books
ISBN: 1441234306
Category : Religion
Languages : en
Pages : 153

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Book Description
It's no secret that we are addicted to control. We work to control our time, our TVs, our weight, and even our faith lives. We strive for efficiency and quantifiable results. But all that control, we soon find out, is exhausting. And it is contrary to God's plan for us. In Chaos and Grace, Mark Galli offers readers freedom from the need for control and order by reintroducing them to the mysterious work of the Holy Spirit. In this insightful book, Galli exposes our individual mistakes and the church's foibles and points the way to grace--which, as it happens, usually lies through chaos and crisis. Through Scripture he shows us that this problem is not unique to modern believers and helps us learn from the stories of God's people through the ages as they gave up and gave in to the transforming work of the Holy Spirit.

Creed without Chaos

Creed without Chaos PDF Author: Laura K. Simmons
Publisher: Wipf and Stock Publishers
ISBN: 1498278655
Category : Religion
Languages : en
Pages : 223

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Book Description
Introduces contemporary readers to the lay theological writings of British novelist and playwright Dorothy L. Sayers.

Exploring the Geometry of Nature

Exploring the Geometry of Nature PDF Author: Ed Rietman
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 216

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Book Description
The science of chaos attracts the attention of researchers in many disciplines. The idea: by following simple principles of randomness and disorder, patterns emerge. Here, users on their own PC's can construct mathematical models duplicating processes found in nature.

Chaos Theory in the Social Sciences

Chaos Theory in the Social Sciences PDF Author: L. Douglas Kiel
Publisher: University of Michigan Press
ISBN: 0472022520
Category : Political Science
Languages : en
Pages : 358

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Book Description
Chaos Theory in the Social Sciences: Foundations and Applications offers the most recent thinking in applying the chaos paradigm to the social sciences. The book explores the methodological techniques--and their difficulties--for determining whether chaotic processes may in fact exist in a particular instance and examines implications of chaos theory when applied specifically to political science, economics, and sociology. The contributors to the book show that no single technique can be used to diagnose and describe all chaotic processes and identify the strengths and limitations of a variety of approaches. The essays in this volume consider the application of chaos theory to such diverse phenomena as public opinion, the behavior of states in the international arena, the development of rational economic expectations, and long waves. Contributors include Brian J. L. Berry, Thad Brown, Kenyon B. DeGreene, Dimitrios Dendrinos, Euel Elliott, David Harvey, L. Ted Jaditz, Douglas Kiel, Heja Kim, Michael McBurnett, Michael Reed, Diana Richards, J. Barkley Rosser, Jr., and Alvin M. Saperstein. L. Douglas Kiel and Euel W. Elliott are both Associate Professors of Government, Politics, and Political Economy, University of Texas at Dallas.

The Collapse of Chaos

The Collapse of Chaos PDF Author: Ian Stewart
Publisher: Penguin UK
ISBN: 0141938285
Category : Science
Languages : en
Pages : 652

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Book Description
Do we live in a simple or a complex universe? Jack Cohen and Ian Stewart explore the ability of complicated rules to generate simple behaviour in nature through 'the collapse of chaos'. 'The most startling, thought-provoking book I've read all year. I was pleased to learn that most of the things I thought I knew were wrong' -- Terry Pratchett