Description |
1 online resource (xii, 548 pages) : illustrations |
Series |
Encyclopedia of mathematics and its applications ; volume 46 |
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Encyclopedia of mathematics and its applications ; v. 46.
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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 |
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 |
Bibliography |
Includes bibliographical references (pages 489-541) and index |
Notes |
English |
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Print version record |
Subject |
Oriented matroids.
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Linear programming
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Matroids.
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Programming, Linear
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MATHEMATICS -- General.
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Matroids
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Linear programming
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Oriented matroids
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Orientiertes Matroid
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Matroiden.
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Form |
Electronic book
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Author |
Björner, Anders
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ISBN |
9781107089402 |
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1107089409 |
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9780511586507 |
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0511586507 |
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1139882805 |
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9781139882804 |
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1107101271 |
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9781107101272 |
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1107095719 |
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9781107095717 |
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1107092477 |
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9781107092471 |
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