Oriented matroids

著者

• Björner, Anders

書誌事項

Oriented matroids

Anders Björner ... [et al.]

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, 46）

Cambridge University Press, 1993

注記

Includes bibliography (p. [480]-509) and index

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA19307818
• ISBN:
  • 0521418364
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge [England]
• ページ数/冊数: xii, 516 p.
• 大きさ: 24 cm
• 分類:
  • NDC8 : 411.22
• 親書誌ID:
  • BA00064663