Oriented Matroids - Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, Gunter M. Ziegler

Oriented Matroids

Buch | Softcover
564 Seiten
1999 | 2nd Revised edition
Cambridge University Press (Verlag)
978-0-521-77750-6 (ISBN)
115,95 inkl. MwSt
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This is the second edition of the first comprehensive, accessible account of oriented matroids. 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.
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.

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.

Erscheint lt. Verlag 18.11.1999
Reihe/Serie Encyclopedia of Mathematics and its Applications
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 157 x 235 mm
Gewicht 805 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-521-77750-X / 052177750X
ISBN-13 978-0-521-77750-6 / 9780521777506
Zustand Neuware
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