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Oriented Matroids

Oriented Matroids

2nd Edition

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: November 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521777506

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About the Authors
  • 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.

    • 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
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    Reviews & endorsements

    From reviews of the first edition: 'Overall this is a book which is a classic of its type; it is a mine of information, which will be the authoritative source for many years to come.' Bulletin of the London Mathematical Society

    '… fulfils its purpose as an authoritative and comprehensive reference... as readable a source on oriented matroids as one might imagine.' Zeitschrift fur Operations Research

    '… comprehensive and up-to-date …'. L'Enseignement Mathématique

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    Product details

    • Edition: 2nd Edition
    • Date Published: November 2000
    • format: Paperback
    • isbn: 9780521777506
    • length: 564 pages
    • dimensions: 235 x 157 x 30 mm
    • weight: 0.805kg
    • contains: 299 exercises
    • availability: 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.

  • Authors

    Anders Björner, Royal Institute of Technology, Stockholm

    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

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