Computational Oriented Matroids

Equivalence Classes of Matrices within a Natural Framework

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Hardcover | 11 May 2006

At a Glance

Hardcover
338 Pages

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25.3 x 18.3 x 2.3

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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.

Industry Reviews

'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.' L'enseignement mathematique

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Mathematics Combinatorics & Graph Theory Geometry

Geometric matrix models i
Geometric matrix models ii
From matrices to rank 3 oriented matroids
Oriented matroids of arbitrary rank
From oriented matroids to face lattices
From face lattices to oriented matroids i
From face lattices to oriented matroids ii
From oriented matroids to matrices
Computational synthetic geometry
Some oriented matroid applications
Some inttrinsic oriented matroid problems
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Computational Oriented Matroids

Equivalence Classes of Matrices within a Natural Framework

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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