Oriented Matroids

Second Edition

By: Anders Bjorner, Neil White, Michel Las Vergnas, Gunter M. Ziegler, Bernd Sturmfels

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Paperback | 14 November 2000 | Edition Number 2

At a Glance

Paperback
564 Pages

Edition Type
Revised

Dimensions(cm)
15.6 x 23.3 x 3.5

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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.

Industry Reviews

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 Mathematique

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You Can Find This Book In

Non-Fiction Mathematics Optimisation Linear Programming Combinatorics & Graph Theory Algebra Applied Mathematics Mathematical Foundation Mathematical Logic

Preface
Notation
A first orientation session
A second orientation session
Axiomatics
From face lattices to topology
Topological models for oriented matroids
Arrangements of pseudolines
Constructions
Realizability
Convex polytopes
Linear programming
Some current frontiers of research
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Oriented Matroids

Second Edition

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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