Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1999
|
| Edition: | Second edition |
| Series: | Encyclopedia of mathematics and its applications
volume 46 |
| Subjects: | |
| Links: | https://doi.org/10.1017/CBO9780511586507 https://doi.org/10.1017/CBO9780511586507 https://doi.org/10.1017/CBO9780511586507 https://doi.org/10.1017/CBO9780511586507 https://doi.org/10.1017/CBO9780511586507 |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (xii, 548 Seiten) Illustrationen, Diagramme |
| ISBN: | 9780511586507 |
| DOI: | 10.1017/CBO9780511586507 |
Staff View
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| 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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| author | Björner, Anders 1947- Las Vergnas, Michel Sturmfels, Bernd 1962- White, Neil 1945- Ziegler, Günter M. 1963- |
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| 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 |
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| 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 | Illustrated |
| indexdate | 2024-12-20T17:49:16Z |
| institution | BVB |
| isbn | 9780511586507 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350242 |
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| physical | 1 Online-Ressource (xii, 548 Seiten) Illustrationen, Diagramme |
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| publishDate | 1999 |
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| publisher | Cambridge University Press |
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| series | Encyclopedia of mathematics and its applications |
| series2 | Encyclopedia of mathematics and its applications |
| 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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