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E-book

Title Oriented matroids / Anders Björner [and others]
Edition Second edition
Published Cambridge ; New York : Cambridge University Press, 1999

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Description 1 online resource (xii, 548 pages) : illustrations
Series Encyclopedia of mathematics and its applications ; volume 46
Encyclopedia of mathematics and its applications ; v. 46.
Contents 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
Summary 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
Bibliography Includes bibliographical references (pages 489-541) and index
Notes English
Print version record
Subject Oriented matroids.
Linear programming
Matroids.
Programming, Linear
MATHEMATICS -- General.
Matroids
Linear programming
Oriented matroids
Orientiertes Matroid
Matroiden.
Form Electronic book
Author Björner, Anders
ISBN 9781107089402
1107089409
9780511586507
0511586507
1139882805
9781139882804
1107101271
9781107101272
1107095719
9781107095717
1107092477
9781107092471