Fractal Geometry

Fractal Geometry : Mathematical Foundations and Applications

4.2 (34 ratings by Goodreads)
  • Hardback
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Description

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.
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Product details

  • Hardback | 310 pages
  • 149.86 x 231.14 x 22.86mm | 544.31g
  • John Wiley & Sons Ltd
  • Chichester, United Kingdom
  • Ill.
  • 0471922870
  • 9780471922872

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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Rating details

34 ratings
4.2 out of 5 stars
5 53% (18)
4 24% (8)
3 15% (5)
2 9% (3)
1 0% (0)
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