Other available formats:
Looking for an evaluation copy?
This title is not currently available for evaluation. However, if you are interested in the title for your course we can consider offering an evaluation copy. To register your interest please contact email@example.com providing details of the course you are teaching.
SuperFractals, first published in 2006, is the 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 explains how IFS have developed in order to address this issue. 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.Read more
- Breathtaking graphics in four colour throughout, as to be expected in the long-awaited successor to Fractals Everywhere
- New mathematics throughout, with key ideas explained intuitively and rigorously, making the text available to a wide range of readers
- SuperFractals opens up many new avenues for research, suggesting novel applications in bioinformatics, image recognition, geometric modelling and content creation
Reviews & endorsements
'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, NatureSee more reviews
'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
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: September 2006
- format: Hardback
- isbn: 9780521844932
- length: 464 pages
- dimensions: 248 x 181 x 27 mm
- weight: 1.08kg
- contains: 250 colour illus.
- availability: Available
Table of Contents
Part I. Geometries and Transformations:
1. Codes, metrics and topologies
2. Transformations of points, sets, pictures and measures
3. Semigroups on sets, measures and pictures
Part II. Iterated Function Systems:
4. IFS acting on measures
5. More on IFS
Part III. Applications to Graphics:
6. Digital content production
7. Image compression
8. Super IFS.
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
*This title has one or more locked files and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.
These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.
If you are having problems accessing these resources please email firstname.lastname@example.org
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×