Fractals Everywhere
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Fractals Everywhere

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Description

"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.
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Product details

  • Mixed media product | 560 pages
  • 184 x 229 x 25.4mm | 907.18g
  • New York, United States
  • English
  • Revised
  • 3rd Revised edition
  • col. Illustrations +
  • 0486488705
  • 9780486488707
  • 322,977

Table of contents

Introduction to the Dover EditionForewordAcknowledgmentsI IntroductionII Metric Spaces; Equivalent Spaces; Classification of Subsets; and the Space of FractalsIII Transformations on Metric Spaces; Contraction Mappings; and the Construction of FractalsIV Chaotic Dynamics on FractalsV Fractal DimensionVI Fractal InterpolationVII Julia SetsVIII Parameter Spaces and Mandelbrot SetsIX Measures on FractalsX Recurrent Iterated Function SystemsReferencesSelected AnswersIndexCredits for Figures and Color Plates
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About Michael Fielding Barnsley

Michael F. Barnsley is a British mathematician, researcher, and author who holds several patents on fractal compression. He is a faculty member of the Mathematical Sciences Institute at Australian National University, and he previously taught in the United States at Georgia Tech.
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Rating details

55 ratings
4.05 out of 5 stars
5 36% (20)
4 42% (23)
3 15% (8)
2 5% (3)
1 2% (1)
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