Synopses & Reviews
"Difficult concepts are introduced in a clear fashion with excellent diagrams and graphs." and#8212; Alan E. Wessel, Santa Clara University
"The style of writing is technically excellent, informative, and entertaining." and#8212; 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 forand#160;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.
Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis onand#160;fractal applications. Includes solutions, hints, and a bonus CD.
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 and#160;Introduction IIand#160; 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 Vand#160; Fractal Dimension VI Fractal Interpolation VIIand#160; Julia Sets VIIIand#160; Parameter Spaces and Mandelbrot Sets IXand#160; Measures on Fractals Xand#160; Recurrent Iterated Function Systems References Selected Answers Index Credits for Figures and Color Plates and#160;