Encounters With Chaos

Author : Denny Gulick
Publisher : CRC Press
ISBN 13 : 1584885173
Total Pages : 390 pages
Book Rating : 4.77/5 ( download)

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Download or read book Encounters with Chaos and Fractals, Second Edition written by Denny Gulick and published by CRC Press. This book was released on 2012-04-26 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now with an extensive introduction to fractal geometry Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications. Laying the groundwork for later chapters, the text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the author goes on to introduce famous infinitely complicated fractals. He analyzes them and explains how to obtain computer renditions of them. The book concludes with the famous Julia sets and the Mandelbrot set. With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines.

Author : Denny Gulick
Publisher :
ISBN 13 : 9780429097355
Total Pages : 371 pages
Book Rating : 4.52/5 ( download)

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Download or read book Encounters with Chaos and Fractals written by Denny Gulick and published by . This book was released on 2012 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: "PREFACE The far-reaching interest in chaos and fractals are outgrowths of the computer age. On the one hand, the notion of chaos is related to dynamics, or behavior, of physical systems. On the other hand, fractals are related to geometry, and appear as delightful but in nitely complex shapes on the line, in the plane or in space. Encounters with Chaos and Fractals is designed to give an introduction both to chaotic dynamics and to fractal geometry. During the past fty years the topics of chaotic dynamics and fractal geometry have become increasingly popular. Applications have extended to disciplines as diverse an electric circuits, weather prediction, orbits of satellites, chemical reactions, analysis of cloud formations and complicated coast lines, and the spread of disease. A fundamental reason for this popularity is the power of the computer, with its ability to produce complex calculations, and to create fascinating graphics. The computer has allowed scientists and mathematicians to solve problems in chaotic dynamics that hitherto seemed intractable, and to analyze scienti c data that in earlier times appeared to be either random or awed. Fractals, on the other hand, are basically geometric, but depend on many of the same mathematical properties that chaotic dynamics do. Mathematics lies at the foundation of chaotic dynamics and fractals. The very concepts that describe chaotic behavior and fractal graphs are mathematical in nature, whether they be analytic, geometric, algebraic or probabilistic. Some of these concepts are elementary, others are sophisticated. There are many books that discuss chaos and fractals in an expository manner, as there are treatises on chaos theory and fractal geometry written at the graduate level"--

Author : Denny Gulick
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 : 9780070252035
Total Pages : 0 pages
Book Rating : 4.33/5 ( download)

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Download or read book Encounters with Chaos written by Denny Gulick and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joachim Peinke
Publisher : Springer Science & Business Media
ISBN 13 : 3642776256
Total Pages : 298 pages
Book Rating : 4.50/5 ( download)

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Download or read book Encounter with Chaos written by Joachim Peinke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our life is a highly nonlinear process. It starts with birth and ends with death; in between there are a lot of ups and downs. Quite often, we believe that stable and steady situations, probably easy to capture by linearization, are paradisiacal, but already after a short period of everyday routine we usually become bored and seek change, that is, nonlinearities. If we reflect for a while, we notice that our life and our perceptions are mainly determined by nonlinear phenomena, for example, events occurring suddenly and unexpectedly. One may be surprised by how long scientists tried to explain our world by models based on a linear ansatz. Due to the lack of typical nonlinear patterns, although everybody experienced nonlinearities, nobody could classify them and, thus,· study them further. The discoveries of the last few decades have finally provided access to the world of nonlinear phenomena and have initiated a unique inter disciplinary field of research: nonlinear science. In contrast to the general tendency of science to become more branched out and specialized as the result of any progress, nonlinear science has brought together many different disciplines. This has been motivated not only by the immense importance of nonlinearities for science, but also by the wonderful simplicity ohhe concepts. Models like the logistic map can be easily understood by high school students and have brought revolutionary new insights into our scientific under standing.

Author : Florin Diacu
Publisher : Princeton University Press
ISBN 13 : 9780691005454
Total Pages : 258 pages
Book Rating : 4.51/5 ( download)

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Download or read book Celestial Encounters written by Florin Diacu and published by Princeton University Press. This book was released on 1999-03-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Encounters traces the history of attempts to solve the problem of celestial mechanics first posited in Isaac Newton's Principia in 1686. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it. 23 halftones. 64 line illustrations.

Author : Denny Gulick
Publisher : CRC Press
ISBN 13 : 9781138061262
Total Pages : 385 pages
Book Rating : 4.63/5 ( download)

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Download or read book Encounters with Chaos and Fractals, Third Edition written by Denny Gulick and published by CRC Press. This book was released on 2018-08 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications. With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines. A set of concept-oriented problems for each chapter, and new examples and exercises are included in this edition.

Author : Flavio Lorenzelli
Publisher : CRC Press
ISBN 13 : 0203214587
Total Pages : 236 pages
Book Rating : 4.89/5 ( download)

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Download or read book The Essence Of Chaos written by Flavio Lorenzelli and published by CRC Press. This book was released on 2003-09-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.

Author : Stephanie Wodianka
Publisher : transcript Verlag
ISBN 13 : 3839433894
Total Pages : 253 pages
Book Rating : 4.98/5 ( download)

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Download or read book Chaos in the Contact Zone written by Stephanie Wodianka and published by transcript Verlag. This book was released on 2017-06-30 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cultural encounters are often being stylized not only as experiences of uncontrollability and unpredictability par excellence, but also as challenges to planning and predicting. The history, the different forms and the consequences of this phenomenon are the main issues discussed in this volume. The contributions show that chaos and control are not mutually exclusive in the "contact zone" (Mary Louise Pratt); on the contrary, they stand in relation to each other - be it as a competence or as an interpretive scheme.

Author : DENNY. FORD GULICK (JEFF.)
Publisher :
ISBN 13 : 9781138062955
Total Pages : 0 pages
Book Rating : 4.52/5 ( download)

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Download or read book Encounters with Chaos and Fractals Third Edition written by DENNY. FORD GULICK (JEFF.) and published by . This book was released on 2018-09-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : David Weinberger
Publisher : Harvard Business Press
ISBN 13 : 1633693961
Total Pages : 141 pages
Book Rating : 4.68/5 ( download)

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Download or read book Everyday Chaos written by David Weinberger and published by Harvard Business Press. This book was released on 2019-04-23 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make. More. Future. Artificial intelligence, big data, modern science, and the internet are all revealing a fundamental truth: The world is vastly more complex and unpredictable than we've allowed ourselves to see. Now that technology is enabling us to take advantage of all the chaos it's revealing, our understanding of how things happen is changing--and with it our deepest strategies for predicting, preparing for, and managing our world. This affects everything, from how we approach our everyday lives to how we make moral decisions and how we run our businesses. Take machine learning, which makes better predictions about weather, medical diagnoses, and product performance than we do--but often does so at the expense of our understanding of how it arrived at those predictions. While this can be dangerous, accepting it is also liberating, for it enables us to harness the complexity of an immense amount of data around us. We are also turning to strategies that avoid anticipating the future altogether, such as A/B testing, Minimum Viable Products, open platforms, and user-modifiable video games. We even take for granted that a simple hashtag can organize unplanned, leaderless movements such as #MeToo. Through stories from history, business, and technology, philosopher and technologist David Weinberger finds the unifying truths lying below the surface of the tools we take for granted--and a future in which our best strategy often requires holding back from anticipating and instead creating as many possibilities as we can. The book’s imperative for business and beyond is simple: Make. More. Future. The result is a world no longer focused on limitations but optimized for possibilities.