Oriented matroids
著者
書誌事項
Oriented matroids
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 46）
Cambridge University Press, 1999
2nd ed
- : pbk
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注記
Includes bibliographical references (p. [489]-541) and index
内容説明・目次
内容説明
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.
目次
- Preface
- Notation
- 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
- Appendix: Some current frontiers of research
- Bibliography
- Index.
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