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eBook Symmetry in Chaos : A Search for Pattern in Mathematics, Art and Nature download

by Michael Field

eBook Symmetry in Chaos : A Search for Pattern in Mathematics, Art and Nature download ISBN: 0198534698
Author: Michael Field
Publisher: Oxford University Press (1992)
ePub: 1705 kb
Fb2: 1992 kb
Rating: 4.4
Other formats: rtf docx lit mobi
Category: Math Sciences
Subcategory: Physics

Symmetry in Chaos is an important book, a work of art, and a joy to read. -Ian Stewart, author of Why Beauty is Truth.

Symmetry in Chaos is an important book, a work of art, and a joy to read. A classic in the interdisciplinary field of art and mathematics, this very well written book takes the ingenious idea of combining symmetry with chaos to construct stunning images that anyone can enjoy, in particular mathematicians, who can also appreciate the underlying mathematics. Beautiful art cannot be the result of just clever computer graphics

Symmetry in Chaos book. Symmetry, a traditional and highly developed area of mathematics, would seem to lie at the opposite end of the spectrum.

Symmetry in Chaos book.

Mike Field Marty Golubitsky. March 16, 2009 09:36. Sheet number 3 Page number ix. cyan magenta yellow black. This study has led to the pictures of symmetric chaos that we present throughout this book. Indeed, we have two purposes in writing this book: to present these pictures and to present the ideas of symmetry and chaos-as they are used by mathematicians-that are needed to understand how these pictures are formed.

In Symmetry in Chaos, mathematicians Michael Field and Martin Golubitsky offer an engaging look at where these two fields meet. 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.

Book · January 2009 with 14 Reads. How we measure 'reads'

Book · January 2009 with 14 Reads. How we measure 'reads'.

Symmetry and chaos seem unlikely bedfellows; yet Field, from the University of Houston, and Golubitsky, from . Alan Stevens CMath FIMA Mathematics Today December 2010

Symmetry and chaos seem unlikely bedfellows; yet Field, from the University of Houston, and Golubitsky, from Ohio State University, have produced a book full of beautiful pictures by combining the two. To quote from the Introduction: Our pictures are created by merging symmetry and chaos. Alan Stevens CMath FIMA Mathematics Today December 2010.

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Keywords: Chaos theory, Cybernetics, Mathematics. This is a book for those who are competent mathematicians but also a book of beautiful pictures that have been produced by combining symmetry and chaos. The combination of the two is used to create pictures that in the main exhibit a different character from the more widely known fractal pictures. Many of the pictures generated do surprise the reader by their familiarity.

. lge fmt, 1992, 218pp
Comments: (3)
Mopimicr
A great array of chaotic attractors. These illustrations demonstrate that the varied forms in nature originate from mathematical building blocks that are complex and yet have continuity in that geometry. I would like to see more, accessable books on strange/chaotic attractors.
Flamekiller
How is this book different from all the other fractal/chaos books on the market? Because of the emphasis on symmetry! Most fractal/chaos books are similar in the sense that they contain the same pictures. But even if you are fed up with Mandelbrot sets, you can safely open this book. You will love the fractal wallpapers.
The book is written by mathematicians, too, so it's factually correct, and has some real insight.
Just read it!
Bort
Not only is this book filled
with eye-catching colorful pictures, it also does a
wonderful job of explaining how they were generated.
They also draw many interesting parallels between
the computer-generated pictures and the structures
that occur in nature or are man-made. Check out their
Symmetric Chaos site at
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