Finite geometry and combinatorial applications:
The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
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| Schriftenreihe: | London Mathematical Society student texts
82 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry |
| Beschreibung: | 1 Online-Ressource (xii, 285 Seiten) |
| ISBN: | 9781316257449 |
| DOI: | 10.1017/CBO9781316257449 |
Internformat
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| 490 | 0 | |a London Mathematical Society student texts |v 82 | |
| 520 | |a The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Ball, Simeon |
| author_GND | (DE-588)1129367371 |
| author_facet | Ball, Simeon |
| author_role | aut |
| author_sort | Ball, Simeon |
| author_variant | s b sb |
| building | Verbundindex |
| bvnumber | BV043940174 |
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| dewey-full | 516/.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.11 |
| dewey-search | 516/.11 |
| dewey-sort | 3516 211 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316257449 |
| format | Electronic eBook |
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| id | DE-604.BV043940174 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9781316257449 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349144 |
| oclc_num | 930067296 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xii, 285 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 | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society student texts |
| spelling | Ball, Simeon Verfasser (DE-588)1129367371 aut Finite geometry and combinatorial applications Simeon Ball, Universitat Politècnica de Catalunya, Barcelona Finite Geometry & Combinatorial Applications Cambridge Cambridge University Press 2015 1 Online-Ressource (xii, 285 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 82 The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry Finite geometries Combinatorial analysis Kombinatorische Analysis (DE-588)4164746-4 gnd rswk-swf Endliche Geometrie (DE-588)4014650-9 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Endliche Geometrie (DE-588)4014650-9 s Kombinatorik (DE-588)4031824-2 s Kombinatorische Analysis (DE-588)4164746-4 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-107-10799-1 Erscheint auch als Druck-Ausgabe 978-1-107-51843-8 https://doi.org/10.1017/CBO9781316257449 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ball, Simeon Finite geometry and combinatorial applications Finite geometries Combinatorial analysis Kombinatorische Analysis (DE-588)4164746-4 gnd Endliche Geometrie (DE-588)4014650-9 gnd Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4164746-4 (DE-588)4014650-9 (DE-588)4031824-2 |
| title | Finite geometry and combinatorial applications |
| title_alt | Finite Geometry & Combinatorial Applications |
| title_auth | Finite geometry and combinatorial applications |
| title_exact_search | Finite geometry and combinatorial applications |
| title_full | Finite geometry and combinatorial applications Simeon Ball, Universitat Politècnica de Catalunya, Barcelona |
| title_fullStr | Finite geometry and combinatorial applications Simeon Ball, Universitat Politècnica de Catalunya, Barcelona |
| title_full_unstemmed | Finite geometry and combinatorial applications Simeon Ball, Universitat Politècnica de Catalunya, Barcelona |
| title_short | Finite geometry and combinatorial applications |
| title_sort | finite geometry and combinatorial applications |
| topic | Finite geometries Combinatorial analysis Kombinatorische Analysis (DE-588)4164746-4 gnd Endliche Geometrie (DE-588)4014650-9 gnd Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Finite geometries Combinatorial analysis Kombinatorische Analysis Endliche Geometrie Kombinatorik |
| url | https://doi.org/10.1017/CBO9781316257449 |
| work_keys_str_mv | AT ballsimeon finitegeometryandcombinatorialapplications AT ballsimeon finitegeometrycombinatorialapplications |