K.D. Lee and Y. Cohen, Fractal Attraction - A Fractal Design System for the Macintosh. Academic Press, San Diego, CA, 1992. 67 pp. plus a Mac Disk, US$49.95, ISBN o-1244-0740-4. Fractal Attraction is a Macintosh application with which one uses iterated function systems to design fractals. The ideas are simple - yet one can produce pictures of incredible complexity and beauty. The chapters are: 1. What is Fractal Attraction. 2. Mathematical Background. 3. The Random Algorithm. 4. Using the Design Window. 5. Applying the Collage Theorem. 6. Color Rendering Example. 7. The Fractal Attraction Application. 8. Literature Cited. Appendix A: IFS Examples. Appendix B: Rotation, Scale and Translation Form. Appendix C: Changing Fractal Window Sized.
(WFA) H. Wacker and W. Zuiehner teds.), Proceedings of the Fourth European Conference on Mathematics in Industry. Teubner, Stuttgart/KIuwer, Dordrecht, 1990. 433 pp., Dfl.240, US$148, UK;E83, ISBN 3-5190-2175-7 (Teubner), 0-7923-1036-S (KIuwer).
These proceedings contain 56 lectures given at the conference held at Strobl, 1989. The volume consists of four sections. In the first section a selection of invited lectures is given. Some of them focus on specific topics, such as the modelling for the crystallization of polymers or time division multiple access systems, while others deal with various features of industrial mathematics as seen by representatives from universities, industry and government. The second and third section contain lectures of two minisymposia, which were held as part of the conference. One of these was devoted to steel processing, the other to chemical engineering. Finally, the fourth section of the book consists of contributed lectures, whose wide range of problems and techniques impressively demonstrates the health and diversity of industrial mathematics. (WFA)
A.A. ZhigIjavsky, Theory of Global Random Search. Kluwer, Dordrecht, US$144, UK%76, ISBN O-7923-1122-1.
1991. 341 pp., Dfl.220,
Presented here, in a systematic and thorough way, are the methods and theoretical results relating to the global optimization problem of a multivariate function. Global rapdom optimization methods and statistical inferences concerning the maximum of a function and the endpoints of a distribution are studied in detail. Various related problems are also investigated. The book is divided into three parts. The first part presents an overview of global optimization