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A Concise Introduction to Hypercomplex Fractals / Andrzej Katunin

Von:

Katunin, Andrzej [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Verlag: Boca Raton, FL : CRC Press, 2017Auflage: First editionBeschreibung: 1 Online-RessourceSchlagwörter:

Andere physische Formen: 9781351801218 | 9781351801201 | 9781351801195 | 1315207613. | 9781315207612. | Erscheint auch als: 9781315207612 Druck-AusgabeMSC: MSC: *28A80LOC-Klassifikation:

QA614.86

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Zusammenfassung: "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."--Provided by publisherZusammenfassung: ""1.1 Birth Of Complex Fractals â#x80;#x93; Julia And Fatou Sets """"1.1.1 Preliminaries ""; ""1.1.2 Coloring Fractal Sets On A Complex PlaneZusammenfassung: ""1.1 Birth Of Complex Fractals â#x80;#x93; Julia And Fatou Sets """"1.1.1 Preliminaries ""; ""1.1.2 Coloring Fractal Sets On A Complex PlaneZusammenfassung: "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."--Provided by publisherPPN: PPN: 1003136699Package identifier: Produktsigel: ZDB-4-NLEBK

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