Mathematics of Fractals
Download or Read eBook Mathematics of Fractals PDF written by Masaya Yamaguchi and published by American Mathematical Soc.. This book was released on 1997 with total page 104 pages. Available in PDF, EPUB and Kindle.
| Author | : Masaya Yamaguchi |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 104 |
| Release | : 1997 |
| ISBN-10 | : 0821805371 |
| ISBN-13 | : 9780821805374 |
| Rating | : 4/5 (71 Downloads) |
Book Synopsis Mathematics of Fractals by : Masaya Yamaguchi
Book excerpt: 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.
