Oriented Matroids
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Second edition
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By Anders Björner
Royal Institute of Technology, Stockholm
By Michel Las Vergnas
Laboratoire de Probabilités, Université Pierre et Marie Curie
By Bernd Sturmfels
University of California, Berkeley
By Neil White
University of Florida
By Gunter M. Ziegler
Technische Universität Berlin
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Publisher: Cambridge University Press
Print Publication Year:1999
Online Publication Date:December 2009
Online ISBN:9780511586507
Paperback ISBN:9780521777506
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Book DOI: http://dx.doi.org/10.1017/CBO9780511586507
Subjects: Logic, categories and Sets , Mathematical physics
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.
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a long list of references covering all essential papers published in oriented matroid theory thus far, as well as a few unpublished notes.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
- '… comprehensive and up-to-date …'.
L'Enseignement Mathématique
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pp. i-iv
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pp. v-viii
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pp. ix-ix
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Preface to the Second Edition: Read PDF
pp. x-x
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pp. xi-xii
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1 - A First Orientation Session: Read PDF
pp. 1-45
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2 - A Second Orientation Session: Read PDF
pp. 46-99
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pp. 100-156
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4 - From Face Lattices to Topology: Read PDF
pp. 157-224
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5 - Topological Models for Oriented Matroids: Read PDF
pp. 225-246
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6 - Arrangements of Pseudolines: Read PDF
pp. 247-280
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pp. 281-337
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pp. 338-375
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9 - Convex Polytopes: Read PDF
pp. 376-416
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10 - Linear Programming: Read PDF
pp. 417-479
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Appendix - Some Current Frontiers of Research: Read PDF
pp. 480-488
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pp. 489-541
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pp. 542-548



