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Polygons, Polyominoes and Polycubes (Hardcover, 2009 ed.) Loot Price: R1,615
Discovery Miles 16 150
Polygons, Polyominoes and Polycubes (Hardcover, 2009 ed.): A. J. Guttmann

Polygons, Polyominoes and Polycubes (Hardcover, 2009 ed.)

A. J. Guttmann

Series: Lecture Notes in Physics, 775

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Loot Price R1,615 Discovery Miles 16 150 | Repayment Terms: R151 pm x 12*

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This unique book gives a comprehensive account of new mathematical tools used to solve polygon problems.

In the 20th and 21st centuries, many problems in mathematics, theoretical physics and theoretical chemistry - and more recently in molecular biology and bio-informatics - can be expressed as counting problems, in which specified graphs, or shapes, are counted.

One very special class of shapes is that of polygons. These are closed, connected paths in space. We usually sketch them in two-dimensions, but they can exist in any dimension. The typical questions asked include "how many are there of a given perimeter?," "how big is the average polygon of given perimeter?," and corresponding questions about the area or volume enclosed. That is to say "how many enclosing a given area?" and "how large is an average polygon of given area?" Simple though these questions are to pose, they are extraordinarily difficult to answer. They are important questions because of the application of polygon, and the related problems of polyomino and polycube counting, to phenomena occurring in the natural world, and also because the study of these problems has been responsible for the development of powerful new techniques in mathematics and mathematical physics, as well as in computer science. These new techniques then find application more broadly.

The book brings together chapters from many of the major contributors in the field. An introductory chapter giving the history of the problem is followed by fourteen further chapters describing particular aspects of the problem, and applications to biology, to surface phenomena and to computer enumeration methods.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Lecture Notes in Physics, 775
Release date: May 2009
First published: 2009
Editors: A. J. Guttmann
Dimensions: 235 x 155 x 34mm (L x W x T)
Format: Hardcover
Pages: 490
Edition: 2009 ed.
ISBN-13: 978-1-4020-9926-7
Categories: Books > Science & Mathematics > Mathematics > Numerical analysis
Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
Books > Computing & IT > General theory of computing > Mathematical theory of computation
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
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LSN: 1-4020-9926-6
Barcode: 9781402099267

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