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SuperFractals

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Hardcover | 7 September 2006

At a Glance

Hardcover
464 Pages

Dimensions(cm)
24.41 x 16.99 x 2.54

Hardcover

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SuperFractals is the long-awaited successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley brings the story up to date by explaining how IFS have developed in order to address this issue. New ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.

Industry Reviews

'Overall, SuperFractals would be a superb addition to the bookshelves of any scientists who use fractal analysis techniques in their research, be they physicist, biologist or economist. The author concludes by promising that the introduction of superfractals will revolutionize the way mathematics, physics, biology and art are combined, to produce a unified description of the complex world in which we live. After reading this book I have no doubt he is correct.' J. R. Mureika, Nature 'Each new idea is preceded by an intuitive discussion, often accompanied by examples, and always by gorgeous artwork. The explanation and arguments are very clear and easy to follow, even for someone not accustomed to mathematical texts.' Journal of Statistical Physics '...I can recommend the book as a nice introduction to the subject of superfractals as well as to the theory of IFS's in general. It is particularly suitable for non-geometrists as well as for non-mathematicians. From my own experience, it serves well as a textbook, also for undergraduate students.' Zentralblatt MATH 'Michael Barnsley is a wonderful guide into the world of Super Fractal geometry. This book will take you on a journey of discovery that will make you look at everyday geometry in a very different way. ...a must read for anyone who is interested in the way mathematics can be used to develop understanding in nature.' Mathematics TODAY

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You Can Find This Book In

Non-Fiction Computing & I.T.Graphical & Digital Media Applications Mathematics Geometry Fractal Geometry Computer Science Image Processing Applied Mathematics Mathematical Modelling Calculus & Mathematical Analysis Engineering & Technology

Electronics & Communications Engineering Communications Engineering & Telecommunications

Geometries and Transformations
Codes, metrics and topologies
Transformations of points, sets, pictures and measures
Semigroups on sets, measures and pictures
Iterated Function Systems
IFS acting on measures
More on IFS
Applications to Graphics
Digital content production
Image compression
Super IFS
Table of Contents provided by Publisher. All Rights Reserved.

SuperFractals

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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