Polygons, Polyominoes and Polycubes (Record no. 31344)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04252nam a22005775i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781402099274 |
| -- | 978-1-4020-9927-4 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15 |
| 245 10 - TITLE STATEMENT | |
| Title | Polygons, Polyominoes and Polycubes |
| Statement of responsibility, etc | edited by Anthony J. Guttman. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Dordrecht : |
| Name of publisher | Springer Netherlands, |
| Year of publication | 2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIX, 490 p. |
| Other physical details | online resource. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Physics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | History and Introduction to Polygon Models and Polyominoes -- Lattice Polygons and Related Objects -- Exactly Solved Models -- Why Are So Many Problems Unsolved? -- The Anisotropic Generating Function of Self-Avoiding Polygons is not D-Finite -- Polygons and the Lace Expansion -- Exact Enumerations -- Series Analysis -- Monte Carlo Methods for Lattice Polygons -- Effect of Confinement: Polygons in Strips, Slabs and Rectangles -- Limit Distributions and Scaling Functions -- Interacting Lattice Polygons -- Fully Packed Loop Models on Finite Geometries -- Conformal Field Theory Applied to Loop Models -- Stochastic Lowner Evolution and the Scaling Limit of Critical Models -- Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Chemistry |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Electronic data processing. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algorithms. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Combinatorics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Engineering. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical Methods in Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algorithms. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Numeric Computing. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Combinatorics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Complexity. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Math. Applications in Chemistry. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Guttman, Anthony J. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4020-9927-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Dordrecht : |
| -- | Springer Netherlands, |
| -- | 2009. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8450 ; |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK2050 | http://dx.doi.org/10.1007/978-1-4020-9927-4 | E-BOOKS |