Mathematics of Fractals (Translations of Mathematical Monographs)

Mathematics of Fractals (Translations of Mathematical Monographs)

By: Masaya Yamaguti (author)Hardback

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Description

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.

Contents

The fundamentals of fractals Self-similar sets An alternative computation for differentiation In quest of fractal analysis Recommended reading Index.

Product Details

  • ISBN13: 9780821805374
  • Format: Hardback
  • Number Of Pages: 96
  • ID: 9780821805374
  • ISBN10: 0821805371
  • translations: Japanese

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