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This title in other editions

Fractals Everywhere [With CDROM] (Dover Books on Mathematics)

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Fractals Everywhere [With CDROM] (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

"Difficult concepts are introduced in a clear fashion with excellent diagrams and graphs." — Alan E. Wessel, Santa Clara University

"The style of writing is technically excellent, informative, and entertaining." — Robert McCarty

This new edition of a highly successful text constitutes one of the most influential books on fractal geometry. An exploration of the tools, methods, and theory of deterministic geometry, the treatment focuses on how fractal geometry can be used to model real objects in the physical world. Two sixteen-page full-color inserts contain fractal images, and a bonus CD of an IFS Generator provides an excellent software tool for designing iterated function systems codes and fractal images.

Suitable for undergraduates and graduate students of many backgrounds, the treatment starts with an introduction to basic topological ideas. Subsequent chapters examine transformations on metric spaces, dynamics on fractals, fractal dimension and interpolation, Julia sets, and parameter spaces. A final chapter introduces measures on fractals and measures in general. Problems and tools emphasize fractal applications, and an answers section contains solutions and hints.

Synopsis:

Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.

Synopsis:

Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition features two 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section. A bonus CD of an IFS Generator provides an excellent software tool for designing iterated function systems codes and fractal images.

Table of Contents

Introduction to the Dover Edition
Foreword
Acknowledgments
I  Introduction
II  Metric Spaces; Equivalent Spaces; Classification of Subsets; and the Space of Fractals
III Transformations on Metric Spaces; Contraction Mappings; and the Construction of Fractals
IV Chaotic Dynamics on Fractals
V  Fractal Dimension
VI Fractal Interpolation
VII  Julia Sets
VIII  Parameter Spaces and Mandelbrot Sets
IX  Measures on Fractals
X  Recurrent Iterated Function Systems
References
Selected Answers
Index
Credits for Figures and Color Plates
 

Product Details

ISBN:
9780486488707
Author:
Barnsley, Michael F
Publisher:
Dover Publications
Author:
Mathematics
Author:
Barnsley, Michael F.
Subject:
Geometry - General
Subject:
Fractals
Subject:
Fractal Geometry
Subject:
fractal applications
Subject:
Mathematics-Geometry and Trigonometry
Subject:
MATHEMATICS / Topology
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20120731
Binding:
TRADE PAPER
Grade Level:
from 15
Language:
English
Illustrations:
Two 16 page color inserts
Pages:
560
Dimensions:
9 x 7.25 in
Age Level:
from 20

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Related Subjects


Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Popular Chaos and Fractals
Science and Mathematics » Mathematics » Topology

Fractals Everywhere [With CDROM] (Dover Books on Mathematics) New Trade Paper
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$39.95 In Stock
Product details 560 pages Dover Publications - English 9780486488707 Reviews:
"Synopsis" by ,

Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.

"Synopsis" by ,

Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition features two 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section. A bonus CD of an IFS Generator provides an excellent software tool for designing iterated function systems codes and fractal images.

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