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Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (Series on Knots and Everything , Vol 17) [Hardcover]

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Item description for Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (Series on Knots and Everything , Vol 17) by Yumei Dang, Louis H. Kauffman & Daniel J. Sandin...

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.



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Item Specifications...


Studio: World Scientific Publishing Company
Pages   144
Est. Packaging Dimensions:   Length: 0.75" Width: 6.25" Height: 9.25"
Weight:   1.1 lbs.
Binding  Hardcover
Publisher   World Scientific Publishing Company
ISBN  9810232969  
ISBN13  9789810232962  


Availability  0 units.


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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Chaos & Systems
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Discrete Mathematics
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Geometry & Topology
6Books > Subjects > Science > Mathematics > Pure Mathematics > Discrete Mathematics
7Books > Subjects > Science > Mathematics > Pure Mathematics > Fractals



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