| ISBN | 0821805371 |
| Subject | Chaotic behavior in systems; Fractals |
| Publisher | American Mathematical Society |
| Publication Date | November 1997 |
| Format | Hardcover (257 x 180 mm) |
| Language | e |
| Translator | Kiki Hudson |
| Mathematics of Fractals (Translations of Mathematical Monographs) - Masaya Yamaguchi, Mayayoshi Hata, Jun Kigami, Masaya Yamaguti, Hata, Masayoshi (1997) |
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| 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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