chaos and fractals an elementary introduction

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Chaos And Fractals

Author : David P. Feldman
ISBN : 9780199566440
Genre : Mathematics
File Size : 36. 65 MB
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For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.

Chaos And Fractals

Author : Heinz-Otto Peitgen
ISBN : 9781475747409
Genre : Mathematics
File Size : 70. 32 MB
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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.

Fractals A Very Short Introduction

Author : K. J. Falconer
ISBN : 9780199675982
Genre : Mathematics
File Size : 61. 92 MB
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An essential discussion of the popular science and mathematics behind fractals reveals how fractal shapes can be found everywhere in nature from clouds to coastlines, explaining how basic concepts in fractal geometry produced a revolution in mathematical understandings of patterns in the 20th century. Original.

Fractals And Chaos

Author : Paul S. Addison
ISBN : 0750304006
Genre : Science
File Size : 63. 25 MB
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Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.

An Introduction To Chaotic Dynamical Systems

Author : Robert Devaney
ISBN : 9780786722679
Genre : Science
File Size : 88. 53 MB
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The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.

Fractals Chaos Power Laws

Author : Manfred Robert Schroeder
ISBN : 9780486134789
Genre :
File Size : 44. 58 MB
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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.

Chaos In Dynamical Systems

Author : Edward Ott
ISBN : 0521010845
Genre : Mathematics
File Size : 73. 91 MB
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New edition of the best-selling graduate textbook on chaos for scientists and engineers.

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