A Concise Introduction to Hypercomplex Fractals, Katunin, Andrzej

Автор: Falconer Kenneth
Название: Fractals: A Very Short Introduction
ISBN: 0199675988 ISBN-13(EAN): 9780199675982
Издательство: Oxford Education
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Описание: From the contours of coastlines to the outlines of clouds, fractal shapes can be found regularly in nature. This Very Short Introduction explains the basic concepts, presents the `new geometry` of fractals, explores its wide range of applications, and shows the central place fractals have gained in mathematics and science in recent years.

Автор: Feldman David P
Название: Chaos and Fractals
ISBN: 0199566445 ISBN-13(EAN): 9780199566440
Издательство: Oxford Academ
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Описание: For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.

Автор: L.T. Fan; D. Neogi; M. Yashima
Название: Elementary Introduction to Spatial and Temporal Fractals
ISBN: 3540542124 ISBN-13(EAN): 9783540542124
Издательство: Springer
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Описание: Fractals play an important role in modeling natural phenomena and engineering processes. This monograph presents definitions, concepts, notions and methodologies of both spatial and temporal fractals. They outline some examples in more detail: Perimeter fractal dimension of char particles, surface fractal dimension of charcoal;

Автор: Kirillov AA
Название: Tale of Two Fractals
ISBN: 081768381X ISBN-13(EAN): 9780817683818
Издательство: Springer
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Описание: Written by the celebrated mathematician and educator A.A. Kirillov, this book offers an original treatment of fractals that is accessible to beginners and sufficiently rigorous for serious mathematicians. Offers a solid foundation in the theory of fractals.

Автор: Luciano Pietronero
Название: Fractals` Physical Origin and Properties
ISBN: 030643413X ISBN-13(EAN): 9780306434136
Издательство: Springer
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Описание: another is fractal geometry, which involves the concept of (non-integer) fractal dimension. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.

Автор: Meakin
Название: Fractals, Scaling and Growth Far from Equilibrium
ISBN: 0521189810 ISBN-13(EAN): 9780521189811
Издательство: Cambridge Academ
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Описание: This 1998 book describes developments in understanding the formation of complex, disorderly patterns under conditions far from equilibrium. The application of fractal geometry and scaling concepts to the quantitative description and understanding is described. Discussion of self-similar fractals, multi-fractals and scaling methods facilitates applications in the physical sciences.

Автор: Pike, E. Roy
Название: Chaos, Noise and Fractals
ISBN: 0852743645 ISBN-13(EAN): 9780852743645
Издательство: Taylor&Francis
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Автор: Dimri, V.P.
Название: Application of Fractals in Earth Sciences
ISBN: 9054102845 ISBN-13(EAN): 9789054102847
Издательство: Taylor&Francis
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Автор: Flake, Gary William
Название: Computational beauty of nature
ISBN: 0262561271 ISBN-13(EAN): 9780262561273
Издательство: MIT Press
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Цена: 10157.00 р.
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Описание: Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors.

Автор: Michael Frame, Nial Neger
Название: Kitchen Science Fractals: A Lab Manual For Fractal Geometry
ISBN: 9811218455 ISBN-13(EAN): 9789811218453
Издательство: World Scientific Publishing
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Описание: This book provides a collection of 43 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.

Автор: Michael Frame, Nial Neger
Название: Kitchen Science Fractals: A Lab Manual For Fractal Geometry
ISBN: 9811218927 ISBN-13(EAN): 9789811218927
Издательство: World Scientific Publishing
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Цена: 7128.00 р.
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Описание: This book provides a collection of 43 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.

Автор: Shier John
Название: Fractalize That! : A Visual Essay On Statistical Geometry
ISBN: 9813275162 ISBN-13(EAN): 9789813275164
Издательство: World Scientific Publishing
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Цена: 11088.00 р.
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Описание: Fractalize That! A Visual Essay on Statistical Geometry brings a new class of geometric fractals to a wider audience of mathematicians and scientists. It describes a recently discovered random fractal space-filling algorithm. Connections with tessellations and known fractals such as Sierpinski are developed. And, the mathematical development is illustrated by a large number of colorful images that will charm the readers.The algorithm claims to be universal in scope, in that it can fill any spatial region with smaller and smaller fill regions of any shape. The filling is complete in the limit of an infinite number of fill regions. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm.The mathematician will find a wealth of interesting conjectures supported by numerical computation. Physicists are offered a model looking for an application. The patterns generated are often quite interesting as abstract art. Readers can also create these computer-generated art with the advice and examples provided.