Fractals Everywhere: The First Course in Deterministic Fractal Geometry

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9780120790623: Fractals Everywhere: The First Course in Deterministic Fractal Geometry

Contents: Introduction; Metric Spaces, Equivalent Spaces, Classification of Subsets, and the Space of Fractals; Transformation on Metric Spaces, Contraction Mappings, and the Construction of Fractals; Chaotic Dynamics on Fractals; Fractal Dimension; Fractal Interpolation; Julia Sets; Parameter Spaces and Mandelbrot Sets; Introduction to Measures on Fractals. Heavily illustrated, including 32 color plates.

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Product Description:

This edition also features additional problems and tools emphasizing fractal applications, as well as a new answer key to the text exercises.

From the Back Cover:



"The material contained in the second edition is quite obviously more extensive in detail and scope...the style of writing is technically excellent, informative, and entertaining... ."
-Robert McCarty


"The problems and examples are well-chosen and interesting...difficult concepts are introduced in a clear fashion with excellent diagrams and graphs."
-Alan E. Wessel
Santa Clara University


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.


Features

  • 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.


    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







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    Published by Academic Press (1988)
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