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Introduction to circle packing (Record no. 16468)

000 -Label
leader 03137 a2200301 4500
010 ## - ISBN
ISBN 9780521823562
qualificatif rel.
090 ## - Numéro biblio (koha)
Numéro biblioitem (koha) 16468
001 - Numéro de notice
Numéro d'identification notice 16468
101 ## - Langue
langue du document anglais
102 ## - Pays de publication ou de production
pays de publication Grande Bretagne
100 ## - Données générales de traitement
données générales de traitement 20180711 frey50
200 ## - Titre
type de document Monographie
titre propre Introduction to circle packing
Auteur Kenneth Stephenson
complément du titre the theory of discrete analytic functions
210 ## - Editeur
nom de l'éditeur Cambridge University Press
lieu de publication Cambridge
date de publication cop. 2005
215 ## - Description
Importance matérielle 1 vol. (XII-356 p.)
autres carac. matérielles ill.
format 26 cm
320 ## - Note
note Bibliogr. p. 347-353. Index
330 ## - Résumé
Résumé A circle packing is a configuration of circles having a special pattern of tangencies. In 1985, W. Thurston linked this topic to analytic functions and conjectured how discrete analytic functions built with circle packings should approximate the Riemann uniformization mapping of a simply connected bounded open set in the plane.
This conjecture and the (positive) answer given by B. Rodin and D. Sullivan in 1987 were the starting point for a great amount of research in the past 20 years.
This book is an overview of this topic. It lays out the study of circle packings, from first definitions to the latest theory, computations and applications. The experimental and visual character of circle packings is exploited to carry the reader from the very beginnings to links with complex analysis and Riemann surfaces. The questions of existence, uniqueness, convergence are addressed, widely using manipulations and displays.
Let us briefly outline the way this book is structured. Part I is devoted to an informal and largely visual tour of the topic. Part II contains a complete and essentially self-contained proof of the fundamental result of existence and uniqueness of a circle packing with prescribed combinatorics. Removing topological conditions in the latter result gives a wealth of flexibility which is studied in Part III. Part IV deals with approximation of classical analytic functions by their discrete counterparts.
This text is both mathematically rigorous and accessible to the novice mathematician, enabling him to penetrate deeply into the subject. The reading is pleasant, the style is lively and the enthusiasm of the author is quite communicative (MSN)
676 ## - annee msc
annee msc 2010
686 ## - Classification MSC
code du système msc
lien interne koha 164860
Indice 52C26
Libellé Convex and discrete geometry -- Discrete geometry
Sous-catégorie Circle packings and discrete conformal geometry
686 ## - Classification MSC
code du système msc
lien interne koha 164811
Indice 52-02
Libellé Convex and discrete geometry
Sous-catégorie Research exposition (monographs, survey articles)
686 ## - Classification MSC
code du système msc
lien interne koha 164855
Indice 52C17
Libellé Convex and discrete geometry -- Discrete geometry
Sous-catégorie Packing and covering in n dimensions
686 ## - Classification MSC
code du système msc
lien interne koha 164854
Indice 52C15
Libellé Convex and discrete geometry -- Discrete geometry
Sous-catégorie Packing and covering in 2 dimensions
686 ## - Classification MSC
code du système msc
lien interne koha 162979
Indice 30G25
Libellé Functions of a complex variable -- Generalized function theory
Sous-catégorie Discrete analytic functions
700 ## - Auteur
code de fonction Auteur
auteur Stephenson
partie du nom autre que l'élément d'entrée Kenneth
dates 1945-
koha internal code 183237
856 ## - accès
URI https://mathscinet.ams.org/mathscinet-getitem?mr=2131318
note MSN
856 ## - accès
URI https://zbmath.org/?q=an%3A1074.52008
note zbMath
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