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  1. Home
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  3. Oriented Matroids
  • Cited by 210
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
1999
Online ISBN:
9780511586507
DOI:
https://doi.org/10.1017/CBO9780511586507
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets, Mathematical Physics
Series:
Encyclopedia of Mathematics and its Applications (46)
Information

Book description

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.

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.’

Source: 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.’

Source: Zeitschrift fur Operations Research

‘… comprehensive and up-to-date …’.

Source: L’Enseignement Mathématique

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