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Mathematics of Fractals

Mathematics of Fractals

Hardback

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  • Release Date: 30/09/1997
  • Barcode: 9780821805374
  • Imprint: American Mathematical Society
  • Publisher: American Mathematical Society
Mathematics of Fractals

Mathematics of Fractals

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DESCRIPTION

Explains the notions behind the self-similar sets called 'fractals' and 'chaotic dynamical systems'. This book emphasizes on the beautiful relationship between fractal functions (such as Weierstrass') and chaotic dynamical systems.
This book aims at providing a handy explanation of the notions behind the self-similar sets called 'fractals' and 'chaotic dynamical systems'. The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass') and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.

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