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

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Specifiche dell'oggetto

Condizione
Nuovo: Libro nuovo, intatto e non letto, in perfette condizioni, senza pagine mancanti o ...
ISBN
9780898716726

Informazioni su questo prodotto

Product Identifiers

Publisher
Society for Industrial AND Applied Mathematics
ISBN-10
0898716721
ISBN-13
9780898716726
eBay Product ID (ePID)
78364126

Product Key Features

Number of Pages
214 Pages
Language
English
Publication Name
Symmetry in Chaos : a Search for Pattern in Mathematics, Art, and Nature
Subject
Chaotic Behavior in Systems, General, Physics / General
Publication Year
2009
Type
Textbook
Subject Area
Mathematics, Science
Author
Michael Field, Martin Golubitsky
Format
Hardcover

Dimensions

Item Height
0.8 in
Item Weight
37.6 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
2008-056150
Reviews
'An impressive and beautiful exploration of an impressive and beautiful area of mathematics - the interplay between order and chaos. The images are breathtaking, the mathematics fundamental. Symmetry in Chaos is an important book, a work of art, and a joy to read.' Ian Stewart, author of Why Beauty is Truth
Dewey Edition
21
Dewey Decimal
003/.857
Table Of Content
Chapter 1: Introduction to Symmetry and Chaos Chapter 2: Planar Symmetries Chapter 3: Patterns Everywhere Chapter 4: Chaos and Symmetry Creation Chapter 5: Symmetric Icons Chapter 6: Quilts Chapter 7: Symmetric Fractals Appendix A: Picture Parameters Appendix B: Icon Mappings Appendix C: Planar Lattices Bibliography Index
Edition Description
Revised edition,New Edition
Synopsis
Mathematical symmetry and chaos come together to form striking, beautiful colour images throughout this impressive work, which addresses how the dynamics of complexity can produce familiar universal patterns., Symmetry suggests order and regularity whilst chaos suggests disorder and randomness. Symmetry in Chaos is an exploration of how combining the seemingly contradictory symmetry and chaos can lead to the construction of striking and beautiful images. This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is described. This second edition has been updated to include the Faraday experiment, a classical experiment from fluid dynamics which illustrates that increasing the vibration amplitude of a container of liquid causes the liquid to form surface waves, instead of moving as a solid body. This second edition also includes updated methods for numerically determining the symmetry of higher dimensional analogues of the images. As well as this, it contains new and improved quality images., Mathematical symmetry and chaos come together to form striking, beautiful colour images throughout this impressive work, which addresses how the dynamics of complexity can produce familiar universal patterns. The book, a richly illustrated blend of mathematics and art, was widely hailed in publications as diverse as the New York Review of Books, Scientific American, and Science when first published in 1992. This much-anticipated second edition features many new illustrations and addresses the progress made in the mathematics and science underlying symmetric chaos in recent years; for example, the classifications of attractor symmetries and methods for determining the symmetries of higher dimensional analogues of images in the book. In particular, the concept of patterns on average and their occurrence in the Faraday fluid dynamics experiment is described in a revised introductory chapter. The ideas addressed in this book have been featured at various conferences on intersections between art and mathematics, including the annual Bridges conference, and in lectures to art students at the University of Houston.
LC Classification Number
Q172.5.S95F54 2009

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