Juergen G Bokowski

Computational Oriented Matroids

Equivalence Classes of Matrices Within a Natural Framework

• Gebundenes Buch

Produktbeschreibung

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 combination of concrete applications and computation, the profusion of illustrations, and the large number of examples and exercises will 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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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 338
• Erscheinungstermin: 8. Mai 2006
• Englisch
• Abmessung: 250mm x 175mm x 23mm
• Gewicht: 766g
• ISBN-13: 9780521849302
• ISBN-10: 0521849306
• Artikelnr.: 22109854

Autorenporträt

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

Inhaltsangabe

1. Geometric matrix models i
2. Geometric matrix models ii
3. From matrices to rank 3 oriented matroids
4. Oriented matroids of arbitrary rank
5. From oriented matroids to face lattices
6. From face lattices to oriented matroids i
7. From face lattices to oriented matroids ii
8. From oriented matroids to matrices
9. Computational synthetic geometry
10. Some oriented matroid applications
11. Some inttrinsic oriented matroid problems
Bibliography
Index.