Finite packing and covering:
Finite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subj...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
|
| Schriftenreihe: | Cambridge tracts in mathematics
154 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | Finite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, besides collecting those scattered around in the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood before. In order to make the material more accessible, each chapter is essentially independent, and two-dimensional and higher-dimensional arrangements are discussed separately. Arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered |
| Beschreibung: | 1 Online-Ressource (xvii, 380 Seiten) |
| ISBN: | 9780511546587 |
| DOI: | 10.1017/CBO9780511546587 |
Internformat
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| 245 | 1 | 0 | |a Finite packing and covering |c Károly Böröczky, Jr |
| 246 | 1 | 3 | |a Finite Packing & Covering |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2004 | |
| 300 | |a 1 Online-Ressource (xvii, 380 Seiten) | ||
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| 337 | |b c |2 rdamedia | ||
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| 490 | 0 | |a Cambridge tracts in mathematics |v 154 | |
| 505 | 8 | 0 | |g . Background |g Part I. |t Arrangements in Two Dimensions: |g g |t Congruent domains in the Euclidean plane |g 2 |t Translative arrangements |g 3 |t Parametric density |g 4 |t Packings of circular discs |g 5 |t Coverings by circular discs |g Part II. |t Arrangements in Higher Dimensions |g 6 |t Packings and coverings by spherical balls |g 7 |t Congruent convex bodies |g 8 |t Packings and coverings by unit balls |g 9 |t Translative arrangements |g 10 |t Parametric density |
| 520 | |a Finite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, besides collecting those scattered around in the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood before. In order to make the material more accessible, each chapter is essentially independent, and two-dimensional and higher-dimensional arrangements are discussed separately. Arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered | ||
| 650 | 4 | |a Combinatorial packing and covering | |
| 650 | 0 | 7 | |a Packung |g Mathematik |0 (DE-588)4209951-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Überdeckung |g Mathematik |0 (DE-588)4186551-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Packung |g Mathematik |0 (DE-588)4209951-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Überdeckung |g Mathematik |0 (DE-588)4186551-0 |D s |
| 689 | 1 | |5 DE-604 | |
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Datensatz im Suchindex
| _version_ | 1804176883834683392 |
|---|---|
| any_adam_object | |
| author | Böröczky, Károly 1964- |
| author_GND | (DE-588)143030590 |
| author_facet | Böröczky, Károly 1964- |
| author_role | aut |
| author_sort | Böröczky, Károly 1964- |
| author_variant | k b kb |
| building | Verbundindex |
| bvnumber | BV043941725 |
| classification_rvk | SK 230 |
| collection | ZDB-20-CBO |
| contents | Arrangements in Two Dimensions: Congruent domains in the Euclidean plane Translative arrangements Parametric density Packings of circular discs Coverings by circular discs Arrangements in Higher Dimensions Packings and coverings by spherical balls Congruent convex bodies Packings and coverings by unit balls |
| ctrlnum | (ZDB-20-CBO)CR9780511546587 (OCoLC)850495549 (DE-599)BVBBV043941725 |
| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511546587 |
| format | Electronic eBook |
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| id | DE-604.BV043941725 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511546587 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350695 |
| oclc_num | 850495549 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xvii, 380 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Böröczky, Károly 1964- Verfasser (DE-588)143030590 aut Finite packing and covering Károly Böröczky, Jr Finite Packing & Covering Cambridge Cambridge University Press 2004 1 Online-Ressource (xvii, 380 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 154 . Background Part I. Arrangements in Two Dimensions: g Congruent domains in the Euclidean plane 2 Translative arrangements 3 Parametric density 4 Packings of circular discs 5 Coverings by circular discs Part II. Arrangements in Higher Dimensions 6 Packings and coverings by spherical balls 7 Congruent convex bodies 8 Packings and coverings by unit balls 9 Translative arrangements 10 Parametric density Finite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, besides collecting those scattered around in the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood before. In order to make the material more accessible, each chapter is essentially independent, and two-dimensional and higher-dimensional arrangements are discussed separately. Arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered Combinatorial packing and covering Packung Mathematik (DE-588)4209951-1 gnd rswk-swf Überdeckung Mathematik (DE-588)4186551-0 gnd rswk-swf Packung Mathematik (DE-588)4209951-1 s DE-604 Überdeckung Mathematik (DE-588)4186551-0 s Erscheint auch als Druck-Ausgabe 978-0-521-80157-7 https://doi.org/10.1017/CBO9780511546587 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Böröczky, Károly 1964- Finite packing and covering Arrangements in Two Dimensions: Congruent domains in the Euclidean plane Translative arrangements Parametric density Packings of circular discs Coverings by circular discs Arrangements in Higher Dimensions Packings and coverings by spherical balls Congruent convex bodies Packings and coverings by unit balls Combinatorial packing and covering Packung Mathematik (DE-588)4209951-1 gnd Überdeckung Mathematik (DE-588)4186551-0 gnd |
| subject_GND | (DE-588)4209951-1 (DE-588)4186551-0 |
| title | Finite packing and covering |
| title_alt | Finite Packing & Covering Arrangements in Two Dimensions: Congruent domains in the Euclidean plane Translative arrangements Parametric density Packings of circular discs Coverings by circular discs Arrangements in Higher Dimensions Packings and coverings by spherical balls Congruent convex bodies Packings and coverings by unit balls |
| title_auth | Finite packing and covering |
| title_exact_search | Finite packing and covering |
| title_full | Finite packing and covering Károly Böröczky, Jr |
| title_fullStr | Finite packing and covering Károly Böröczky, Jr |
| title_full_unstemmed | Finite packing and covering Károly Böröczky, Jr |
| title_short | Finite packing and covering |
| title_sort | finite packing and covering |
| topic | Combinatorial packing and covering Packung Mathematik (DE-588)4209951-1 gnd Überdeckung Mathematik (DE-588)4186551-0 gnd |
| topic_facet | Combinatorial packing and covering Packung Mathematik Überdeckung Mathematik |
| url | https://doi.org/10.1017/CBO9780511546587 |
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