"Difficult concepts are introduced in a clear fashion with excellent diagrams and graphs." — Alan E. Wessel, Santa Clara University
"The style of writing is technically excellent, informative, and entertaining." — Robert McCarty
This new edition of a highly successful text constitutes one of the most influential books on fractal geometry. An exploration of the tools, methods, and theory of deterministic geometry, the treatment focuses on how fractal geometry can be used to model real objects in the physical world. Two sixteen-page full-color inserts contain fractal images, and a bonus CD of an IFS Generator provides an excellent software tool for designing iterated function systems codes and fractal images.
Suitable for undergraduates and graduate students of many backgrounds, the treatment starts with an introduction to basic topological ideas. Subsequent chapters examine transformations on metric spaces, dynamics on fractals, fractal dimension and interpolation, Julia sets, and parameter spaces. A final chapter introduces measures on fractals and measures in general. Problems and tools emphasize fractal applications, and an answers section contains solutions and hints.
Exclusive Interview: Michael Barnsley
Dr. Michael Barnsley is a British mathematician and entrepreneur whose main research has been on fractal compression, holding several patents in the technology. Dr. Barnsley received his BA in Mathematics at Oxford University and his PhD in Theoretical Chemistry from the University of Wisconsin. After many years on the faculty at Georgia Tech, followed by positions at the University of New South Wales and the University of Melbourne, he has been based at the Mathematical Sciences Institute of the Australian National University since 2004. Recently, Dover Math and Science Editor sat down with Dr. Barnsley to discuss his work and the book. Click here to read the complete interview.
|Author/Editor||Michael F. Barnsley|
|Grade level||College Junior and Up (ages 20 and up)|
|Dimensions||7 1/4 x 9|