Fractals Everywhere SECOND EDITION

This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world.


This edition of Fractals Everywhere is the most up-to-date fractal textbook available today.


Fractals Everywhere may be supplemented by Michael F. Barnsley's Desktop Fractal Design System (version 2.0) with IBM for Macintosh software. The Desktop Fractal Design System 2.0 is a tool for designing Iterated Function Systems codes and fractal images, and makes an excellent supplement to a course on fractal geometry
* A new chapter on recurrent iterated function systems, including vector recurrent iterated function systems.
* Problems and tools emphasizing fractal applciations.
* An all-new answer key to problems in the text, with solutions and hints.

Chapter I - Introduction
Chapter II - Metric Spces; Equivalent Spaces: Classification of Subsets; and the Space of Fractals
Chapter III - Transformations on Metric Spaces; Contraction Mappings: and the Construction of Fractals
Chapter IV - Chaotic Dynamics on Fractals
Chapter V - Fractal Dimension
Chapter VI - Fractal Interpolation
Chapter VII - Julia Sets
Chapter VIII - Parameter Spaces and Mandelbrot Sets
Chapter IX - Measures on Fractals
Chapter X - Recurrent Iterated Function Systems

This volume is the second edition of the highly successful "Fractals Everywhere". The focus of this text is how fractal geometry can be used to model real objects in the physical world.