Oriented Matroids
Seiten
1993
Cambridge University Press (Verlag)
978-0-521-41836-2 (ISBN)
Cambridge University Press (Verlag)
978-0-521-41836-2 (ISBN)
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This is the first comprehensive and accessible account of oriented matroids and it is intended for a diverse audience: graduate students who wish to learn the subject from scratch, researchers who want to concentrate on certain aspects of the theory, and specialists who need a thorough reference work.
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 first comprehensive and accessible account of the subject. This book 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 points in between. A list of exercises and open problems ends each chapter, and the work is rounded off by an up-to-date and exhaustive reference list.
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 first comprehensive and accessible account of the subject. This book 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 points in between. A list of exercises and open problems ends each chapter, and the work is rounded off by an up-to-date and exhaustive reference list.
Preface; 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; Bibliography; Index of notation; Index.
| Erscheint lt. Verlag | 4.2.1993 |
|---|---|
| Reihe/Serie | Encyclopedia of Mathematics and its Applications |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 162 x 241 mm |
| Gewicht | 905 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 0-521-41836-4 / 0521418364 |
| ISBN-13 | 978-0-521-41836-2 / 9780521418362 |
| Zustand | Neuware |
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