Name: Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom) (en Inglés)
SKU: 25306158
Price: 99.37 USD
Availability: InStock
Author: Dang, Yumei ; Kauffman, Louis H. ; Sandin, Daniel
ISBN: 9789810232962

portada Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom) (en Inglés)

Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom) (en Inglés)

Formato

Libro Físico

Autor

Louis H. Kauffman

Yumei Dang

Daniel Sandin

Editorial

World Scientific Publishing Company

Año

2002

Idioma

Inglés

N° páginas

164

Encuadernación

Tapa Dura

Dimensiones

23.6 x 16.2 x 1.7 cm

Peso

0.63 kg.

ISBN

9810232969

ISBN13

9789810232962

Categorías

Matemáticas discretas

Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom) (en Inglés)

Louis H. Kauffman (Autor) · Yumei Dang (Autor) · Daniel Sandin (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom) (en Inglés)"

This book 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 generalise 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. This puts on a firm footing the authors' present work and the second author's earlier work with John Hart and Dan Sandin. The results of this book will be of great interest to mathematicians and computer scientists interested in fractals and computer graphics.