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Encounters with Chaos and Fractals, Second Edition

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Release : 2012-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 173/5 ( reviews)

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Book Synopsis Encounters with Chaos and Fractals, Second Edition by : Denny Gulick

Download or read book Encounters with Chaos and Fractals, Second Edition written by Denny Gulick. This book was released on 2012-04-26. 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.

Encounters with Chaos

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Author :
Release : 1992
Genre : Chaotic behavior in systems
Kind : eBook
Book Rating : 035/5 ( reviews)

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Book Synopsis Encounters with Chaos by : Denny Gulick

Download or read book Encounters with Chaos written by Denny Gulick. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Encounter with Chaos

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Author :
Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 256/5 ( reviews)

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Book Synopsis Encounter with Chaos by : Joachim Peinke

Download or read book Encounter with Chaos written by Joachim Peinke. This book was released on 2012-12-06. 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.

Encounters with Chaos

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Author :
Release : 1992
Genre : Chaotic behavior in systems
Kind : eBook
Book Rating : 275/5 ( reviews)

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Book Synopsis Encounters with Chaos by : Denny Gulick

Download or read book Encounters with Chaos written by Denny Gulick. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Celestial Encounters

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Author :
Release : 1999-03-28
Genre : Mathematics
Kind : eBook
Book Rating : 454/5 ( reviews)

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Book Synopsis Celestial Encounters by : Florin Diacu

Download or read book Celestial Encounters written by Florin Diacu. This book was released on 1999-03-28. 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.

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