Fractal Geometry

Fractal Geometry : Mathematical Foundations and Applications

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  • Paperback
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Description

This paperback edition of Fractal Geometry provides an accessible treatment of the mathematics of fractals and their dimensions. It is aimed at those wanting to use fractals in their own areas of mathematics or science. The first part of the book covers the general theory of fractals and their geometry. Results are stated precisely, but technical measure theoretic ideas are avoided and difficult proofs are sketched. The second part contains a wide variety of examples and applications in mathematics and physics. The book contains numerous diagrams and illustrative examples. Each chapter ends with self-study exercises and suggestions for further reading. The author provides an intuitive as well as a mathematical insight into the subject.
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Product details

  • Paperback | 312 pages
  • 150 x 224 x 18mm | 498.95g
  • John Wiley & Sons Ltd
  • Chichester, United Kingdom
  • New edition
  • New edition
  • diagrams
  • 0471967777
  • 9780471967774

About Kenneth J. Falconer

About the author Kenneth Falconer took his MA and PhD degrees at Cambridge University and was Research Fellow at Corpus Christi College, Cambridge, from 1977 to 1980. He then joined Bristol University where he is now a Reader. He was visiting Professor at Oregon State University, USA, in 1985-6 and has lectured widely in Britain and abroad. He has published The Geometry of Fractal Sets (Cambridge University Press 1985) as well as more than 40 research papers, largely on fractals, geometric measure theory, and the geometry of convex sets. 'To be convinced that fractal geometry is not mere pretty pictures, but solid and fascinating mathematics, look no further.' Ian Stewart, New Scientist
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Table of contents

Part I 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. Part II Applications and examples: fractals defined by transformations; 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.
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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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