Mathematics of fractals
著者
書誌事項
Mathematics of fractals
（Translations of mathematical monographs, v. 167）
American Mathematical Society, c1997
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フラクタルの数理
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注記
Includes bibliographical references (p. 75-76) and index
内容説明・目次
内容説明
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.
目次
The fundamentals of fractals Self-similar sets An alternative computation for differentiation In quest of fractal analysis Recommended reading Index.
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