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Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature
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Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature
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by Michael Field and Martin Golubitsky
Sales Rank : 756890
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Hardcover: 232 pages
Publisher: Oxford University Press, USA December 3, 1992
Language: English
ISBN-10: 0198536895
ISBN-13: 978-0198536895
Product Dimensions:
11.2 x 8.9 x 0.9 inches
Shipping Weight: 2.2 pounds
Product Review
"Field and Golubitsky are very good in explaining how equations and natural forces can produce stunning chaotic patterns."--The New York Review of Books
"A spectacular picture book with background mathematical information for the reader who wants to explore the theory behind it all."--The Times Higher Education Supplement
"Full of beautiful pictures. If Socrates had been able to interrogate Dr. Field and Dr. Golubitsky, his search for wisdom might have ended right there.Takes the reader with no previous knowledge through an impressive array of topics."--American Journal of Physics
--This text refers to an out of print or unavailable edition of this title.
Product Description
Chaotic dynamics (known popularly as chaos theory or, more simply, chaos) is among the most fascinating new fields in modern science, revolutionizing our understanding of order and pattern in nature. Symmetry, a traditional and highly developed area of mathematics, would seem to lie at the opposite end of the spectrum. From the branching of trees to the rose windows of great cathedrals, symmetric patterns seem the antithesis of such chaotic systems as weather patterns. And yet, scientists are now finding connections between these two areas, connections which could have profound consequences for our understanding of the physical world. In Symmetry in Chaos, mathematicians Michael Field and Martin Golubitsky offer an engaging look at where these two fields meet. In the process, they have generated mathematically a series of stunning computer images linking symmetry and chaos.
Field and Golubitsky describe how a chaotic process eventually can lead to symmetric patterns (in a river, for instance, photographs of the turbulent movement of eddies, taken over time, often reveal patterns on average) and they provide clear explanations of the science that lies behind the generation of these pictures. And the images they generate are spectacular. Because of the symmetry, these full-color and black-and-white images--some chaotic and some fractal--have a surprisingly classical appearance. Indeed, through comparisons with pictures from nature, such as sea shells and flowers, and decorative designs ranging from Islamic motifs to contemporary graphic logos to ceramic tiles, the authors highlight the familiar yet unusual nature of these mysterious pictures. Finally, the book features an appendix containing several BASIC programs, which will enable home computer owners to experiment with similar images.
This lavishly illustrated, oversized volume offers both a fascinating glimpse of the frontier of modern science and a stunning collection of remarkable images. Symmetry in Chaos will intrigue science buffs as well as anyone interested in decorative art and pattern design.
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