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Viac informácií o knihe Hypercomplex Iterations

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Anotácia knihy

This work is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique. It is self-contained, giving a careful treatment of both the known techniques and the authors' new methods. The distance estimation technique was originally applied to Julia sets and the Mandelbrot set in the complex plane. It was justified, through the work of Douady and Hubbard, by deep results in complex analysis. In this book the authors generalize the distance estimation to quaternionic and other higher dimensional fractals, including fractals derived from iteration in the Cayley numbers (octonionic fractals). The generalization is justified by new geometric arguments that circumvent the need for complex analysis. The results of this book should be of interest to mathematicians and computer scientists interested in fractals and computer graphics.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Mathematical foundations

• Celý názov: Hypercomplex Iterations
• Podnázov: Distance Estimation and Higher Dimensional Fractals
• Autor: Yumei Dang, Louis H. Kauffman, Daniel Sandin
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 162
• EAN: 9789810232962
• ISBN: 9810232969
• ID: 05065890
• Nakladateľ: World Scientific Publishing Co Pte Ltd
• Hmotnosť: 630 g
• Rozmery: 230 × 162 × 17 mm
• Dátum vydania: 01. August 2002

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