Oriented matroids:
Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research,...
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 46 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 TUM01 TUM02 Volltext |
| Zusammenfassung: | Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the second edition of the first comprehensive, accessible account of the subject. It is intended for a diverse audience: graduate students who wish to learn the subject from scratch; researchers in the various fields of application who want to concentrate on certain aspects of the theory; specialists who need a thorough reference work; and others at academic points in between. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published |
| Beschreibung: | 1 Online-Ressource (xii, 548 Seiten) Illustrationen, Diagramme |
| ISBN: | 9780511586507 |
| DOI: | 10.1017/CBO9780511586507 |
Internformat
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| 505 | 8 | |a 1. A first orientation session -- 2. A second orientation session -- 3. Axiomatics -- 4. From face lattices to topology -- 5. Topological models for oriented matroids -- 6. Arrangements of pseudolines -- 7. Constructions -- 8. Realizability -- 9. Convex polytopes -- 10. Linear programming | |
| 520 | |a Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the second edition of the first comprehensive, accessible account of the subject. It is intended for a diverse audience: graduate students who wish to learn the subject from scratch; researchers in the various fields of application who want to concentrate on certain aspects of the theory; specialists who need a thorough reference work; and others at academic points in between. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Björner, Anders 1947- Las Vergnas, Michel Sturmfels, Bernd 1962- White, Neil 1945- Ziegler, Günter M. 1963- |
| author_GND | (DE-588)1171954581 (DE-588)121330435 (DE-588)142407836 (DE-588)121062155 |
| author_facet | Björner, Anders 1947- Las Vergnas, Michel Sturmfels, Bernd 1962- White, Neil 1945- Ziegler, Günter M. 1963- |
| author_role | aut aut aut aut aut |
| author_sort | Björner, Anders 1947- |
| author_variant | a b ab v m l vm vml b s bs n w nw g m z gm gmz |
| building | Verbundindex |
| bvnumber | BV043941271 |
| classification_tum | MAT 052 |
| collection | ZDB-20-CBO |
| contents | 1. A first orientation session -- 2. A second orientation session -- 3. Axiomatics -- 4. From face lattices to topology -- 5. Topological models for oriented matroids -- 6. Arrangements of pseudolines -- 7. Constructions -- 8. Realizability -- 9. Convex polytopes -- 10. Linear programming |
| ctrlnum | (ZDB-20-CBO)CR9780511586507 (OCoLC)850010970 (DE-599)BVBBV043941271 |
| 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/CBO9780511586507 |
| edition | Second edition |
| format | Electronic eBook |
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| id | DE-604.BV043941271 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9780511586507 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350242 |
| oclc_num | 850010970 |
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| owner_facet | DE-12 DE-92 DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource (xii, 548 Seiten) Illustrationen, Diagramme |
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| publishDate | 1999 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Björner, Anders 1947- Verfasser (DE-588)1171954581 aut Oriented matroids Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Günter M. Ziegler Second edition Cambridge Cambridge University Press 1999 1 Online-Ressource (xii, 548 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 46 1. A first orientation session -- 2. A second orientation session -- 3. Axiomatics -- 4. From face lattices to topology -- 5. Topological models for oriented matroids -- 6. Arrangements of pseudolines -- 7. Constructions -- 8. Realizability -- 9. Convex polytopes -- 10. Linear programming Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the second edition of the first comprehensive, accessible account of the subject. It is intended for a diverse audience: graduate students who wish to learn the subject from scratch; researchers in the various fields of application who want to concentrate on certain aspects of the theory; specialists who need a thorough reference work; and others at academic points in between. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published Oriented matroids Linear programming Orientiertes Matroid (DE-588)4232299-6 gnd rswk-swf Orientiertes Matroid (DE-588)4232299-6 s 1\p DE-604 Las Vergnas, Michel Verfasser aut Sturmfels, Bernd 1962- Verfasser (DE-588)121330435 aut White, Neil 1945- Verfasser (DE-588)142407836 aut Ziegler, Günter M. 1963- Verfasser (DE-588)121062155 aut Erscheint auch als Druck-Ausgabe, Paperback 978-0-521-77750-6 0-521-77750-X Encyclopedia of mathematics and its applications volume 46 (DE-604)BV044777929 46 https://doi.org/10.1017/CBO9780511586507 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Björner, Anders 1947- Las Vergnas, Michel Sturmfels, Bernd 1962- White, Neil 1945- Ziegler, Günter M. 1963- Oriented matroids Encyclopedia of mathematics and its applications 1. A first orientation session -- 2. A second orientation session -- 3. Axiomatics -- 4. From face lattices to topology -- 5. Topological models for oriented matroids -- 6. Arrangements of pseudolines -- 7. Constructions -- 8. Realizability -- 9. Convex polytopes -- 10. Linear programming Oriented matroids Linear programming Orientiertes Matroid (DE-588)4232299-6 gnd |
| subject_GND | (DE-588)4232299-6 |
| title | Oriented matroids |
| title_auth | Oriented matroids |
| title_exact_search | Oriented matroids |
| title_full | Oriented matroids Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Günter M. Ziegler |
| title_fullStr | Oriented matroids Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Günter M. Ziegler |
| title_full_unstemmed | Oriented matroids Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Günter M. Ziegler |
| title_short | Oriented matroids |
| title_sort | oriented matroids |
| topic | Oriented matroids Linear programming Orientiertes Matroid (DE-588)4232299-6 gnd |
| topic_facet | Oriented matroids Linear programming Orientiertes Matroid |
| url | https://doi.org/10.1017/CBO9780511586507 |
| volume_link | (DE-604)BV044777929 |
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