Foundations of convex geometry

著者

書誌事項

Foundations of convex geometry

W.A. Coppel

(Australian Mathematical Society lecture series, 12)

Cambridge University Press, 1998

大学図書館所蔵 件 / 27

この図書・雑誌をさがす

注記

Includes bibliographical references and index

内容説明・目次

内容説明

This book on the foundations of Euclidean geometry aims to present the subject from the point of view of present day mathematics, taking advantage of all the developments since the appearance of Hilbert's classic work. Here real affine space is characterised by a small number of axioms involving points and line segments making the treatment self-contained and thorough, many results being established under weaker hypotheses than usual. The treatment should be totally accessible for final year undergraduates and graduate students, and can also serve as an introduction to other areas of mathematics such as matroids and antimatroids, combinatorial convexity, the theory of polytopes, projective geometry and functional analysis.

目次

  • Preface
  • Introduction
  • 1. Alignments
  • 2. Convexity
  • 3. Linearity
  • 4. Linearity (continued)
  • 5. Density and unendingness
  • 6. Desargues
  • 7. Vector spaces
  • 8. Completeness
  • 9. Spaces of convex sets
  • References
  • Notations
  • Axioms
  • Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA35722173
  • ISBN
    • 0521639700
  • LCCN
    97032149
  • 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
  • ページ数/冊数
    xiv, 222 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
ページトップへ