Fractal Geometry
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Fractal Geometry: Mathematical Foundations and Applications

Fractal Geometry: Mathematical Foundations and Applications

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About the Book

An accessible introduction to fractals, useful as a text or reference. Part I is concerned with the general theory of fractals and their geometry, covering dimensions and their methods of calculation, plus the local form of fractals and their projections and intersections. Part II contains examples of fractals drawn from a wide variety of areas of mathematics and physics, including self-similar and self-affine sets, graphs of functions, examples from number theory and pure mathematics, dynamical systems, Julia sets, random fractals and some physical applications. Also contains many diagrams and illustrative examples, includes computer drawings of fractals, and shows how to produce further drawings for themselves.

Table of Contents:
FOUNDATIONS. Mathematical Background. Hausdorff Measure and Dimension. Alternative Definitions of Dimension. Techniques for Calculating Dimensions. Local Structure of Fractals. Projections of Fractals. Products of Fractals. Intersections of Fractals. APPLICATIONS AND EXAMPLES. Fractals Defined by Transformations--Self-Similar and Self-Affine Sets. Examples from Number Theory. Graphs of Functions. Examples from Pure Mathematics. Dynamical Systems. Iteration of Complex Functions--Julia Sets. Random Fractals. Brownian Motion and Brownian Surfaces. Multifractal Measures. Physical Applications. References. Index.


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Product Details
  • ISBN-13: 9780471922872
  • Publisher: John Wiley and Sons Ltd
  • Publisher Imprint: John Wiley & Sons Ltd
  • Height: 54 mm
  • Returnable: N
  • Weight: 600 gr
  • ISBN-10: 0471922870
  • Publisher Date: 31 Jan 1990
  • Binding: Hardback
  • Language: English
  • Sub Title: Mathematical Foundations and Applications
  • Width: 35 mm


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Fractal Geometry: Mathematical Foundations and Applications
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