| Titre : |
Polygons, polyominoes and polycubes |
| Type de document : |
texte imprimé |
| Auteurs : |
Anthony J. Guttmann, Editeur scientifique |
| Editeur : |
Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag |
| Année de publication : |
2009 cop. 2009 |
| Collection : |
Lecture notes in physics, ISSN 0075-8450 num. 775 |
| Importance : |
1 vol. (XIX-490 p.) |
| Présentation : |
ill. |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-1-4020-9926-7 |
| Note générale : |
PPN 136395430 |
| Langues : |
Anglais (eng) |
| Tags : |
Polygones Polyominos Physique mathématique Analyse combinatoire Treillis, Théorie des Polygons Polyominoes Mathematical physics Combinatorial analysis Lattice theory, |
| Index. décimale : |
530.15 Physique mathématique |
| Résumé : |
The problem of counting the number of self-avoiding polygons on a square grid, either by their perimeter or their enclosed area, is a problem that is so easy to state that,at first 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 theyshould 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 traffic models. It is the widespread applicability of these models to interesting phenomena that makes them so deserving of our attention. Here however we restrict our attention to the mathematical aspects. (préface) |
| Note de contenu : |
Bibliogr. en fin de chapitre. Index p.483-490 |
Polygons, polyominoes and polycubes [texte imprimé] / Anthony J. Guttmann, Editeur scientifique . - Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag, 2009 cop. 2009 . - 1 vol. (XIX-490 p.) : ill. ; 24 cm. - ( Lecture notes in physics, ISSN 0075-8450; 775) . ISBN : 978-1-4020-9926-7 PPN 136395430 Langues : Anglais ( eng)
| Tags : |
Polygones Polyominos Physique mathématique Analyse combinatoire Treillis, Théorie des Polygons Polyominoes Mathematical physics Combinatorial analysis Lattice theory, |
| Index. décimale : |
530.15 Physique mathématique |
| Résumé : |
The problem of counting the number of self-avoiding polygons on a square grid, either by their perimeter or their enclosed area, is a problem that is so easy to state that,at first 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 theyshould 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 traffic models. It is the widespread applicability of these models to interesting phenomena that makes them so deserving of our attention. Here however we restrict our attention to the mathematical aspects. (préface) |
| Note de contenu : |
Bibliogr. en fin de chapitre. Index p.483-490 |
|
Polygons, polyominoes and polycubes (2009 cop. 2009)