Mathematics of Fractals

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  • Mathematics of Fractals Book Detail

  • Author : Masaya Yamaguchi
  • Release Date : 1997
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 104
  • ISBN 13 : 9780821805374
  • File Size : 76,76 MB

Mathematics of Fractals by Masaya Yamaguchi PDF Summary

Book 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's) 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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