Polygons, Polyominoes and Polycubes

Language: English

Published by Springer Netherlands Mai 2009, 2009

1402099266 / 9781402099267

Series: Book 152 of 241 - Lecture Notes in Physics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at rst sight, it seems surprising that it hasn't been solved. It is however perhaps the simplest member of a large class of such problems that have resisted all attempts at their exact solution. These are all problems that are easy to state and look as if they should be solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others. These models are of intrinsic interest to mathematicians and mathematical physicists, but can also be applied to many other areas, including economics, the social sciences, the biological sciences and even to traf c models. It is the widespread applicab- ity of these models to interesting phenomena that makes them so deserving of our attention. Here however we restrict our attention to the mathematical aspects. Here we are concerned with collecting together most of what is known about polygons, and the closely related problems of polyominoes. We describe what is known, taking care to distinguish between what has been proved, and what is c- tainlytrue,but has notbeenproved. Theearlierchaptersfocusonwhatis knownand on why the problems have not been solved, culminating in a proof of unsolvability, in a certain sense. The next chapters describe a range of numerical and theoretical methods and tools for extracting as much information about the problem as possible, in some cases permittingexactconjecturesto be made. 512 pp. Englisch.

Seller Inventory # 9781402099267

Title
Polygons, Polyominoes and Polycubes
Author
A. J. Guttmann
Publisher
Springer Netherlands Mai 2009
Publication year
2009
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1402099266
ISBN 13
9781402099267
Item weight
928 grams
Dimensions
241x160x33 mm
Series
Book 152 of 241: Lecture Notes in Physics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

Item5 to 15 business days5 to 15 business days
First itemUS$ 26.76US$ 26.76
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BuchWeltWeit Ludwig Meier e.K.

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