Oriented Matroids / Edition 2

by Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Gunter M. Ziegler

Overview

This 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.

Product Details

ISBN-13:	9780521777506
Publisher:	Cambridge University Press
Publication date:	11/18/1999
Series:	Encyclopedia of Mathematics and its Applications , #46
Edition description:	Revised Edition
Pages:	564
Product dimensions:	6.18(w) x 9.25(h) x 1.18(d)

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.

Editorial Reviews

"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a long list of references covering all essential papers published in oriented matroid theory thus far, as well as a few unpublished notes.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

From the Publisher