Overview

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. 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-colour 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. AUTHOR: 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.

Full Product Details

Author:   Michael F. Barnsley ,  Mathematics ,  M F Barnsley
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Edition:   3rd Revised edition
Dimensions:   Width: 18.40cm , Height: 2.50cm , Length: 22.90cm
Weight:   0.907kg
ISBN:  

9780486488707

ISBN 10:   0486488705
Pages:   560
Publication Date:   26 July 2012
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Mixed media product
Publisher's Status:   Active
Availability:   In Print  
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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

Reviews

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)

Author Information

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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