Mathematics of fractals
Author(s)
Bibliographic Information
Mathematics of fractals
（Translations of mathematical monographs, v. 167）
American Mathematical Society, c1997
- Other Title
-
フラクタルの数理
Available at / 50 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. 75-76) and index
Description and Table of Contents
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.
Table of Contents
The fundamentals of fractals Self-similar sets An alternative computation for differentiation In quest of fractal analysis Recommended reading Index.
by "Nielsen BookData"
