Cargando…
Mathematics of fractals
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; th...
Autores principales: | , , |
---|---|
Lenguaje: | eng |
Publicado: |
American Mathematical Society
1997
|
Materias: | |
Acceso en línea: | http://cds.cern.ch/record/2754439 |
Sumario: | 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. |
---|