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Description - Computational Oriented Matroids by Juergen Bokowski

Oriented matroids play the role of matrices in discrete geometry, when metrical properties, such as angles or distances, are neither required nor available. Thus they are of great use in such areas as graph theory, combinatorial optimization and convex geometry. The variety of applications corresponds to the variety of ways they can be defined. Each of these definitions corresponds to a differing data structure for an oriented matroid, and handling them requires computational support, best realised through a functional language. Haskell is used here, and, for the benefit of readers, the book includes a primer on it. The combination of concrete applications and computation, the profusion of illustrations, many in colour, and the large number of examples and exercises make this an ideal introductory text on the subject. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.

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Book Details

ISBN: 9780521849302
ISBN-10: 0521849306
Format: Hardback
(247mm x 174mm x 25mm)
Pages: 338
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 8-May-2006
Country of Publication: United Kingdom

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Author Biography - Juergen Bokowski

Juergen Bokowski is a Professor of Mathematics at Darmstadt University of Technology