Oriented Matroids
Oriented Matroids
Michel Las Vergnas, Laboratoire de Probabilités, Université Pierre et Marie Curie
Bernd Sturmfels, University of California, Berkeley
Neil White, University of Florida
Gunter M. Ziegler, Technische Universität Berlin
$121.00
USDThis second edition of the first comprehensive, accessible account of the subject is intended for a diverse audience: graduate students who wish to learn the subject, researchers in the various fields of application who want to concentrate on certain theoretical aspects, and specialists who need a thorough reference work. For the second edition, the authors have greatly expanded the bibliography to ensure that it is comprehensive and up-to-date, and have also added an appendix surveying research since the first edition. A list of exercises and open problems ends each chapter.
- New edition of the first accessible, comprehensive account of the subject
- Second edition contains an up-to-date bibliography and a new appendix covering research since the first edition
- Designed to appeal to graduate students, researchers and specialists
Reviews & endorsements
"Numerous exercises are included at the end of each chapter; thus the book is quite good literature for the student...the book contains a long list of references covering all essential papers published in oriented matroid theory thus far, as well as a few unpublished notes. Therefore, anybody who wants to study oriented matroids will not only find a compact survey concerning the theory but also a standard list of references." Bulletin of the AMS
"...comprehensive and authoritative....Without a doubt this book will become an indispensable tool for anyone working in an important and growing area of mathematics." SIAM Review
Product details
January 2000Paperback
9780521777506
564 pages
235 × 157 × 30 mm
0.805kg
299 exercises
Available
Table of Contents
- 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.
