Oriented Matroids / Edition 2

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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.

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Editorial Reviews

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long list of references covering all essential papers published in oriented matroid theory thus far, as well as a few unpublished notes.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

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Product Details

  • ISBN-13: 9780521777506
  • Publisher: Cambridge University Press
  • Publication date: 5/28/2006
  • Series: Encyclopedia of Mathematics and its Applications Series , #46
  • Edition description: Revised Edition
  • Edition number: 2
  • Pages: 564
  • Sales rank: 1,263,110
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.14 (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.

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