IMIST


Polygons, polyominoes and polycubes (notice n° 15989)

000 -LEADER
fixed length control field 02530nam a2200325 u 4500
001 - CONTROL NUMBER
control field UNI0000313
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20161124101033.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130710s2009 XX eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1402099266 (hardcover) ()
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781402099267 (hardcover)
040 ## - CATALOGING SOURCE
Original cataloging agency DCLC
040 ## - CATALOGING SOURCE
Modifying agency IMIST
Description conventions AFNOR
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.15
Edition number 22
245 #0 - TITLE STATEMENT
Title Polygons, polyominoes and polycubes
Statement of responsibility, etc A. J. Guttmann.
250 ## - EDITION STATEMENT
Edition statement 2009th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc [S.l.]
Name of publisher, distributor, etc Springer
Date of publication, distribution, etc 2009.
300 ## - PHYSICAL DESCRIPTION
Extent 518 p.
Dimensions 24 cm.
490 1# - SERIES STATEMENT
Series statement Lecture notes in physics.
500 ## - GENERAL NOTE
General note 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 or geographic name as entry element Algorithms
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Chemistry--Mathematics
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorial analysis
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Electronic data processing
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Polygons
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Polyominoes
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Guttmann,, A. J.
Exemplaires
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        La bibliothèque des Sciences Exactes et Naturelles La bibliothèque des Sciences Exactes et Naturelles   20991   530.15 GUT 0000000018694 11/24/2016 11/24/2016 Livre
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