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Cellular Automata in Hyperbolic Spaces, Volume I: Theory
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by Maurice Margenstern
Sales Rank: 3195351
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List Price: $90.00
$90.00
At Amazon
on 12-6-2008
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Paperback: 422 pages
Publisher: GB Scientific Publications/ Old City Publishing; 1st edition July 1, 2007
Language: English
ISBN-10: 1933153040
ISBN-13: 978-1933153049
Product Dimensions:
9.3 x 6.6 x 0.9 inches
Shipping Weight: 1.8 pounds
Product Description
Cellular Automata in Hyperbolic Spaces, Volume I: Theory introduces a hot topic in mathematics and computer science at the edge of hyperbolic geometry and cellular automata.
A hyperbolic space is a geometric model where through a given point there are two distinct parallels to a given line. A cellular automaton is a set of cells which are uniformly distributed in a space, connected locally and which update their states by the same rule.
Cellular Automata in Hyperbolic Spaces, Volume I: Theory presents novel results on location of tiles in many tilings of the hyperbolic place. These results are employed to implement emerging non-classical types of cellular automata and offer insights into accessing and transferring information in hyperbolic spaces.
Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology; therefore ideas discussed in the book will play an important role in the theory of relativity. In addition to specialists in these traditional fields of application, many specialists in new domains are beginning to show a growing interest in hyperbolic geometry and cellular automata. This is especially the case in biology and computer science.
Cellular Automata in Hyperbolic Spaces, Volume I, Theory is a unique work which skillfully hybridizes two different domains of geometry and computation in a way beneficial for mathematics, computer science and engineering. Interest in the concepts, and their possible implementations, contained in this outstanding treatise is sure to last for decades.
About The Author
Maurice Margenstern is Professor and Head of Research Department in Computer Science at the University Paul Verlaine in Metz, France. Professor Margenstern is a leading international expert in theory of computation, mathematical machines and geometry, and is a pioneer in theory of cellular automata in hyperbolic spaces.
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Cellular Automata in Hyperbolic Spaces, Volume I: Theory
Available from Amazon
Price: $90.00
Updated on 12-6-2008
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