A Concise Introduction to Hypercomplex Fractals

A Concise Introduction to Hypercomplex Fractals
Author :
Publisher : CRC Press
Total Pages : 103
Release :
ISBN-10 : 9781351801218
ISBN-13 : 135180121X
Rating : 4/5 (21X Downloads)

Book Synopsis A Concise Introduction to Hypercomplex Fractals by : Andrzej Katunin

Download or read book A Concise Introduction to Hypercomplex Fractals written by Andrzej Katunin and published by CRC Press. This book was released on 2017-10-05 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, through the generalizations of Julia and Mandelbrot sets on a complex plane and the Holy Grail of the fractal geometry – a 3D Mandelbrot set, and ending with hypercomplex, multicomplex and multihypercomplex fractal sets which are still under consideration of scientists. I tried to write this book in a possibly simple way in order to make it understandable to most people whose math knowledge covers the fundamentals of complex numbers only. Moreover, the book is full of illustrations of generated fractals and stories concerned with great mathematicians, number spaces and related fractals. In the most cases only information required for proper understanding of a nature of a given vector space or a 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 dynamics and stability of hypercomplex systems.


A Concise Introduction to Hypercomplex Fractals Related Books

A Concise Introduction to Hypercomplex Fractals
Language: en
Pages: 103
Authors: Andrzej Katunin
Categories: Computers
Type: BOOK - Published: 2017-10-05 - Publisher: CRC Press

GET EBOOK

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex f
Fractals and Hypercomplex Numbers
Language: en
Pages:
Authors: Steven Chen
Categories: Fractals
Type: BOOK - Published: 1997 - Publisher:

GET EBOOK

Hypercomplex Iterations
Language: en
Pages: 163
Authors: Yumei Dang
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: World Scientific

GET EBOOK

Includes an interactive tour of the space of hypercomplex Julia sets and an educational mini-documentary introducing fractals and hypercomplex geometry.
A Concise Introduction to Hypercomplex Fractals
Language: en
Pages: 104
Authors: Andrzej Katunin
Categories: Computers
Type: BOOK - Published: 2017-10-05 - Publisher: CRC Press

GET EBOOK

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex f
Fractal Geometry and Number Theory
Language: en
Pages: 277
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

GET EBOOK

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of th