From Newton To Chaos

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Newton's Clock

Author : Ivars Peterson
Publisher : Macmillan
ISBN 13 : 0716723964
Total Pages : 341 pages
Book Rating : 4.7/5 (167 download)

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Book Synopsis Newton's Clock by : Ivars Peterson

Download or read book Newton's Clock written by Ivars Peterson and published by Macmillan. This book was released on 1993 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: With his critically acclaimed best-sellers The Mathematical Tourism and Islands of Truth, Ivars Peterson took readers to the frontiers of modern mathematics. His new book provides an up-to-date look at one of science's greatest detective stories: the search for order in the workings of the solar system. In the late 1600s, Sir Isaac Newton provided what astronomers had long sought: a seemingly reliable way of calculating planetary orbits and positions. Newton's laws of motion and his coherent, mathematical view of the universe dominated scientific discourse for centuries. At the same time, observers recorded subtle, unexpected movements of the planets and other bodies, suggesting that the solar system is not as placid and predictable as its venerable clock work image suggests. Today, scientists can go beyond the hand calculations, mathematical tables, and massive observational logs that limited the explorations of Newton, Copernicus, Galileo, Kepler, Tycho Brahe, and others. Using supercomputers to simulate the dynamics of the solar system, modern astronomers are learning more about the motions they observe and uncovering some astonishing examples of chaotic behavior in the heavens. Nonetheless, the long-term stability of the solar system remains a perplexing, unsolved issue, with each step toward its resolution exposing additional uncertainties and deeper mysteries. To show how our view of the solar system has changed from clocklike precision to chaos and complexity, Newton's Clock describes the development of celestial mechanics through the ages - from the star charts of ancient navigators to the seminal discoveries of the 17th century from the crucial work of Poincare to thestartling, sometimes controversial findings and theories made possible by modern mathematics and computer simulations. The result makes for entertaining and provocative reading, equal parts science, history and intellectual adventure.

From Newton to Chaos

Author : Archie E. Roy
Publisher : Springer Science & Business Media
ISBN 13 : 1489910859
Total Pages : 573 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis From Newton to Chaos by : Archie E. Roy

Download or read book From Newton to Chaos written by Archie E. Roy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d' Ampezzo, Italy, between July 25 and August 6, 1993, under the title From Newton to Chaos: Modem Techniques for Understanding and Coping With Chaos inN-Body Dynamical Systems. This institute was the latest in a series of meetings held every three years from 1972 to 1990 in dynamical astronomy, theoretical mechanics and celestial mechanics. The proceedings from these institutes have been well-received in the international community of research workers in these disciplines. The present institute was well attended with 15 series of lectures being given by invited speakers: in addition some 40 presentations were made by the other participants. The majority of these contributions are included in these proceedings. The all-pervading influence of chaos in dynamical systems (of even a few variables) has now been universally recognised by researchers, a recognition forced on us by our ability, using powerful computer hardware and software, to tackle dynamical problems that until twenty-five years ago were intractable. Doubtless it was felt by many that these new techniques provided a break-through in celestial mechanics and its related disciplines. And so they were.

Chaos and Order

Author : N. Katherine Hayles
Publisher : University of Chicago Press
ISBN 13 : 022623004X
Total Pages : 317 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis Chaos and Order by : N. Katherine Hayles

Download or read book Chaos and Order written by N. Katherine Hayles and published by University of Chicago Press. This book was released on 2014-12-10 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific discovery that chaotic systems embody deep structures of order is one of such wide-ranging implications that it has attracted attention across a spectrum of disciplines, including the humanities. In this volume, fourteen theorists explore the significance for literary and cultural studies of the new paradigm of chaotics, forging connections between contemporary literature and the science of chaos. They examine how changing ideas of order and disorder enable new readings of scientific and literary texts, from Newton's Principia to Ruskin's autobiography, from Victorian serial fiction to Borges's short stories. N. Katherine Hayles traces shifts in meaning that chaos has undergone within the Western tradition, suggesting that the science of chaos articulates categories that cannot be assimilated into the traditional dichotomy of order and disorder. She and her contributors take the relation between order and disorder as a theme and develop its implications for understanding texts, metaphors, metafiction, audience response, and the process of interpretation itself. Their innovative and diverse work opens the interdisciplinary field of chaotics to literary inquiry.

Time Travel

Author : James Gleick
Publisher : Vintage
ISBN 13 : 080416892X
Total Pages : 354 pages
Book Rating : 4.8/5 (41 download)

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Book Synopsis Time Travel by : James Gleick

Download or read book Time Travel written by James Gleick and published by Vintage. This book was released on 2017-09-05 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Best Books of 2016 BOSTON GLOBE * THE ATLANTIC From the acclaimed bestselling author of The Information and Chaos comes this enthralling history of time travel—a concept that has preoccupied physicists and storytellers over the course of the last century. James Gleick delivers a mind-bending exploration of time travel—from its origins in literature and science to its influence on our understanding of time itself. Gleick vividly explores physics, technology, philosophy, and art as each relates to time travel and tells the story of the concept's cultural evolutions—from H.G. Wells to Doctor Who, from Proust to Woody Allen. He takes a close look at the porous boundary between science fiction and modern physics, and, finally, delves into what it all means in our own moment in time—the world of the instantaneous, with its all-consuming present and vanishing future.

Chaos and Fractals

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 1475747403
Total Pages : 1013 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos and Fractals by : Heinz-Otto Peitgen

Download or read book Chaos and Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Deep Simplicity

Author : John Gribbin
Publisher : Penguin UK
ISBN 13 : 0141042214
Total Pages : 451 pages
Book Rating : 4.1/5 (41 download)

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Book Synopsis Deep Simplicity by : John Gribbin

Download or read book Deep Simplicity written by John Gribbin and published by Penguin UK. This book was released on 2009-08-27 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Gribbin takes us through the basics with his customary talent for accessibility and clarity' Sunday Times The world around us can be a complex, confusing place. Earthquakes happen without warning, stock markets fluctuate, weather forecasters seldom seem to get it right - even other people continue to baffle us. How do we make sense of it all? In fact, John Gribbin reveals, our seemingly random universe is actually built on simple laws of cause and effect that can explain why, for example, just one vehicle braking can cause a traffic jam; why wild storms result from a slight atmospheric change; even how we evolved from the most basic materials. Like a zen painting, a fractal image or the pattern on a butterfly's wings, simple elements form the bedrock of a sophisticated whole. Synthesizing chaos and complexity theory for the perplexed, Deep Simplicity brilliantly illuminates the harmony underlying our existence.

Chaos

Author : Richard Kautz
Publisher : Oxford University Press
ISBN 13 : 0199594570
Total Pages : 384 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Chaos by : Richard Kautz

Download or read book Chaos written by Richard Kautz and published by Oxford University Press. This book was released on 2011 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: One CD-ROM disc in pocket.

Chaos Theory Tamed

Author : Garnett Williams
Publisher : CRC Press
ISBN 13 : 1482295415
Total Pages : 518 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Chaos Theory Tamed by : Garnett Williams

Download or read book Chaos Theory Tamed written by Garnett Williams and published by CRC Press. This book was released on 1997-09-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.

The Collapse of Chaos

Author : Ian Stewart
Publisher : Penguin UK
ISBN 13 : 0141938285
Total Pages : 652 pages
Book Rating : 4.1/5 (419 download)

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Book Synopsis The Collapse of Chaos by : Ian Stewart

Download or read book The Collapse of Chaos written by Ian Stewart and published by Penguin UK. This book was released on 2000-03-02 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Order, Chaos, Order

Author : Philip Stehle
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Order, Chaos, Order by : Philip Stehle

Download or read book Order, Chaos, Order written by Philip Stehle and published by Oxford University Press, USA. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the confusion among physicists at the beginning of the 20th century when experimental findings kept not fitting into their mechanical view of the universe, the theoretical speculations and experimental innovations they responded with, and the new science that emerged. The mathematical details are set apart in boxes to allow nontechnical readers to engage the flow of the narrative uninterrupted. Paper edition (unseen), $29.95. Annotation copyright by Book News, Inc., Portland, OR

Complexity

Author : M. Mitchell Waldrop
Publisher : Open Road Media
ISBN 13 : 150405914X
Total Pages : 492 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Complexity by : M. Mitchell Waldrop

Download or read book Complexity written by M. Mitchell Waldrop and published by Open Road Media. This book was released on 2019-10-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: “If you liked Chaos, you’ll love Complexity. Waldrop creates the most exciting intellectual adventure story of the year” (The Washington Post). In a rarified world of scientific research, a revolution has been brewing. Its activists are not anarchists, but rather Nobel Laureates in physics and economics and pony-tailed graduates, mathematicians, and computer scientists from all over the world. They have formed an iconoclastic think-tank and their radical idea is to create a new science: complexity. They want to know how a primordial soup of simple molecules managed to turn itself into the first living cell—and what the origin of life some four billion years ago can tell us about the process of technological innovation today. This book is their story—the story of how they have tried to forge what they like to call the science of the twenty-first century. “Lucidly shows physicists, biologists, computer scientists and economists swapping metaphors and reveling in the sense that epochal discoveries are just around the corner . . . [Waldrop] has a special talent for relaying the exhilaration of moments of intellectual insight.” —The New York Times Book Review “Where I enjoyed the book was when it dove into the actual question of complexity, talking about complex systems in economics, biology, genetics, computer modeling, and so on. Snippets of rare beauty here and there almost took your breath away.” —Medium “[Waldrop] provides a good grounding of what may indeed be the first flowering of a new science.” —Publishers Weekly

Everyday Chaos

Author : Brian Clegg
Publisher : MIT Press
ISBN 13 : 0262539691
Total Pages : 257 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Everyday Chaos by : Brian Clegg

Download or read book Everyday Chaos written by Brian Clegg and published by MIT Press. This book was released on 2020-10-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and complexity explained, with illuminating examples ranging from unpredictable pendulums to London's wobbly Millennium Bridge. The math we are taught in school is precise and only deals with simple situations. Reality is far more complex. Trying to understand a system with multiple interacting components—the weather, for example, or the human body, or the stock market—means dealing with two factors: chaos and complexity. If we don't understand these two essential subjects, we can't understand the real world. In Everyday Chaos, Brian Clegg explains chaos and complexity for the general reader, with an accessible, engaging text and striking full-color illustrations. By chaos, Clegg means a system where complex interactions make predicting long-term outcomes nearly impossible; complexity means complex interacting systems that have new emergent properties that make them more than the sum of their parts. Clegg illustrates these phenomena with discussions of predictable randomness, the power of probability, and the behavior of pendulums. He describes what Newton got wrong about gravity; how feedback kept steam engines from exploding; and why weather produces chaos. He considers the stock market, politics, bestseller lists, big data, and London's wobbling Millennium Bridge as examples of chaotic systems, and he explains how a better understanding of chaos helps scientists predict more accurately the risk of catastrophic Earth-asteroid collisions. We learn that our brains are complex, self-organizing systems; that the structure of snowflakes exemplifies emergence; and that life itself has been shown to be an emergent property of a complex system.

Indra's Net

Author : Robin Robertson
Publisher : Quest Books
ISBN 13 : 0835631044
Total Pages : 202 pages
Book Rating : 4.8/5 (356 download)

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Book Synopsis Indra's Net by : Robin Robertson

Download or read book Indra's Net written by Robin Robertson and published by Quest Books. This book was released on 2014-05-27 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this clear, engaging book, Robin Robertson draws parallels between alchemy and chaos theory and shows how to apply them to our inner development. He is not proposing they replace traditional spiritual paths, but rather that they reflect deep structures in the psyche that any inner journey awakens. The model they provide necessarily underlies all paths of spiritual transformation and describes a framework for the stages through which any seeker goes. No matter what your particular calling, these insights enrich understanding of the transformative process, whether outside in the world, or within your life.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Chaos

Author : Kathleen Alligood
Publisher : Springer
ISBN 13 : 3642592813
Total Pages : 620 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Chaos by : Kathleen Alligood

Download or read book Chaos written by Kathleen Alligood and published by Springer. This book was released on 2012-12-06 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.

Chaos And Complexity

Author : Michael R. Butz
Publisher : CRC Press
ISBN 13 : 9781560324195
Total Pages : 310 pages
Book Rating : 4.3/5 (241 download)

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Book Synopsis Chaos And Complexity by : Michael R. Butz

Download or read book Chaos And Complexity written by Michael R. Butz and published by CRC Press. This book was released on 1997-09-29 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of this book is to emphasize the inherent complexity and richness of the human experience of change. Now, the author believes there to be an acceptable "scientific" explanation for this phenomona. Explored here are 30 years of studies to describe nonlinear dynamics, today termed either chaos theory or complexity theory. The connotations of both theories are discussed at length. Offering social scientists validation in their attempts to describe and define phenomona of a previously ineffable nature, this book explores chaos' implications for psychology and the social sciences. It describes the benefits psychology can glean from using ideas in chaos theory and applying them to psychology in general, individual psycho-therapy, couples therapy, and community psychology, and also considers possible directions for research and application.

Introduction to Modern Dynamics

Author : D. D. Nolte
Publisher :
ISBN 13 : 019884462X
Total Pages : 498 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Introduction to Modern Dynamics by : D. D. Nolte

Download or read book Introduction to Modern Dynamics written by D. D. Nolte and published by . This book was released on 2019 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unifying approach to the physics of chaos, nonlinear systems, dynamic networks, evolutionary dynamics, econophysics, and the theory of relativity. Each chapter has many worked examples and simple computer simulations that allow the student to explore the rich phenomena of nonlinear physics.