Oriented Matroids: Second Edition

ISBN-13: 9780521777506 / Angielski / Miękka / 1999 / 564 str.

Anders Bjorner; Michel Las Vergnas; Bernd Sturmfels

Opis

This second edition of the first comprehensive, accessible account of the subject is intended for a diverse audience: graduate students who wish to learn the subject, researchers in the various fields of application who want to concentrate on certain theoretical aspects, and specialists who need a thorough reference work. For the second edition, the authors have greatly expanded the bibliography to ensure that it is comprehensive and up-to-date, and have also added an appendix surveying research since the first edition. A list of exercises and open problems ends each chapter.

Recenzje

'… comprehensive and up-to-date …'. L'Enseignement Mathématique

Spis treści

Preface; Notation; 1. A first orientation session; 2. A second orientation session; 3. Axiomatics; 4. From face lattices to topology; 5. Topological models for oriented matroids; 6. Arrangements of pseudolines; 7. Constructions; 8. Realizability; 9. Convex polytopes; 10. Linear programming; Appendix: Some current frontiers of research; Bibliography; Index.