Fractal geometry : mathematical foundations and applications /
xxx, 368 p. ; ill. Content notes : Part I Foundations
1. Mathematicl background--
2. Box-counting dimension--
3. Hausdorff and packing measures and dimensions--
4. Techniques for calculating dimensions--
5. Local structure of fractals--
6. Projections of fractals--
7. Products of fractals--
8. Intersections of fractals--
Part II Applications and examples
9. Iterated function systems-self -similar and self-affine sets--
10. Examples from number theory--
11. Graphs of functions--
12. Examples from pure mathematics--
13. Dynamical systems--
14. Iteration of complex functions-Julia sets and the Mandelbrot set--
15. Random fractals--
16. Brownian motion and Brownian surfaces--
17. Multifractal measures--
18. Physical applications--
References--
Index. Fractals - Problems, exercises, etc. MATHEMATICS -- Topology. MATHEMATICS / Transformations.
