A Concise Introduction to Hypercomplex Fractals

Name: A Concise Introduction to Hypercomplex Fractals
Brand: Taylor & Francis
SKU: 9781138633421
Price: 186.0 NZD
Availability: InStock

By Andrzej Katunin

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Summary

A Concise Introduction to Hypercomplex Fractals offers a clear and compact journey through the fascinating world of complex and hypercomplex fractals. It begins with the basics of complex dynamics and classic fractal sets, then explores generalisations like Julia and Mandelbrot sets beyond the complex plane, including the elusive 3D Mandelbrot set. The book culminates with discussions of hypercomplex, multicomplex, and multihypercomplex fractal sets, topics still actively researched today. Written accessibly for readers familiar only with fundamental complex numbers, it includes numerous fractal illustrations and stories about mathematicians and number spaces, making advanced concepts approachable without sacrificing scientific rigour.
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Format: Hardback

$186⁰⁰

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A Concise Introduction to Hypercomplex Fractals

$186⁰⁰

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This book is ideal for mathematics students, educators, and curious readers with a basic understanding of complex numbers who wish to deepen their knowledge of fractal geometry and its higher-dimensional extensions. Advanced readers will find valuable foundational material and references to current scientific discussions on hypercomplex dynamics and stability.

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets. Readers will view this book as a fundamental compendium on hypercomplex fractals with references to purely scientific issues like dynamics and stability of hypercomplex systems.

Description

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets. It progresses through the generalisations of Julia and Mandelbrot sets on a complex plane, the Holy Grail of fractal geometry—a 3D Mandelbrot set—and ends with hypercomplex, multicomplex, and multihypercomplex fractal sets which are still under consideration by scientists.

A Concise Introduction to Hypercomplex Fractals is written in as simple a way as possible to ensure it is understandable to most people whose math knowledge covers only the fundamentals of complex numbers. Moreover, the book is filled with illustrations of generated fractals and stories related to great mathematicians, number spaces, and related fractals.

In most cases, only the information required for proper understanding of the nature of a given vector space or the construction of a given fractal set is provided. Nevertheless, a more advanced reader may treat this book as a fundamental compendium on hypercomplex fractals, with references to purely scientific issues like the dynamics and stability of hypercomplex systems.

Book Details

INFORMATION

ISBN: 9781138633421

Publisher: Taylor & Francis Ltd

Format: Hardback

Date Published: 10 October 2017

Country: United Kingdom

Imprint: CRC Press

Illustration: 6 Tables, black and white; 1 Halftones, color; 53 Illustrations, color; 2 Illustrations, black and white

Audience: Tertiary education

DIMENSIONS

Width: 156.0mm

Height: 234.0mm

Weight: 320g

Pages: 91

Collections

Andrzej Katunin Computing & Technology Education & Reference Non-Fiction Science & Nature

About the Author

Prof. Andrzej Katunin received B.Sc. (2006) in mechanical engineering from Bialystok University of Technology, Poland, and the M.Sc. (2008), Ph.D. (2012) and D.Sc. (2015) in the same discipline from Silesian University of Technology, Poland. His scientific works on fractals cover both purely mathematical studies as well as application issues in computer graphics and various engineering fields.