Encounters With Chaos And Fractals

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 : 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 : 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 : 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 : Denny Gulick
Publisher : CRC Press
ISBN 13 : 146655875X
Total Pages : 384 pages
Book Rating : 4.55/5 ( download)

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Download or read book Encounters with Chaos and Fractals written by Denny Gulick and published by CRC Press. This book was released on 2012-04-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for readers with a calculus background. This edition contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia and Mandelbrot sets. It also includes a substantial number of new exercises at the end of each section and MATLAB programs in the appendix, with selected solutions at the back of the book.

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 : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 1475747403
Total Pages : 1013 pages
Book Rating : 4.09/5 ( download)

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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.

Author : A.J. Crilly
Publisher : Springer Science & Business Media
ISBN 13 : 1461230349
Total Pages : 278 pages
Book Rating : 4.42/5 ( download)

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Download or read book Fractals and Chaos written by A.J. Crilly and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based upon the presentations made at an international conference in London on the subject of 'Fractals and Chaos'. The objective of the conference was to bring together some of the leading practitioners and exponents in the overlapping fields of fractal geometry and chaos theory, with a view to exploring some of the relationships between the two domains. Based on this initial conference and subsequent exchanges between the editors and the authors, revised and updated papers were produced. These papers are contained in the present volume. We thank all those who contributed to this effort by way of planning and organisation, and also all those who helped in the production of this volume. In particular, we wish to express our appreciation to Gerhard Rossbach, Computer Science Editor, Craig Van Dyck, Production Director, and Nancy A. Rogers, who did the typesetting. A. J. Crilly R. A. Earnshaw H. Jones 1 March 1990 Introduction Fractals and Chaos The word 'fractal' was coined by Benoit Mandelbrot in the late 1970s, but objects now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in mathematical terms. In addition, related concepts are those of self-similarity and sub-divisibility. A fractal object is self-similar in that subsections of the object are similar in some sense to the whole object.

Author : John Briggs
Publisher : Simon and Schuster
ISBN 13 : 0671742175
Total Pages : 196 pages
Book Rating : 4.71/5 ( download)

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Download or read book Fractals written by John Briggs and published by Simon and Schuster. This book was released on 1992 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the significance and beauty of fractals using over 170 illustrations.

Author : Manfred Schroeder
Publisher : Courier Corporation
ISBN 13 : 0486472043
Total Pages : 450 pages
Book Rating : 4.41/5 ( download)

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Download or read book Fractals, Chaos, Power Laws written by Manfred Schroeder and published by Courier Corporation. This book was released on 2009-08-21 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.