Convex bodies : the Brunn-Minkowski theory

Bibliographic Information

Convex bodies : the Brunn-Minkowski theory

Rolf Schneider

(Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 44)

Cambridge University Press, 2008, c1993

  • : pbk

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Note

"This digitally printed version 2008" --T.p. verso

Includes bibliographical references and indexes

Description and Table of Contents

Description

At the heart of this monograph is the Brunn-Minkowski theory. It can be used to great effect in studying such ideas as volume and surface area and the generalizations of these. In particular the notions of mixed volume and mixed area arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered in detail. The author presents a comprehensive introduction to convex bodies and gives full proofs for some deeper theorems. Many hints and pointers to connections with other fields are given, and an exhaustive reference list is included.

Table of Contents

  • 1. Basic convexity
  • 2. Boundary structure
  • 3. Minkowski addition
  • 4. Curvature measure and quermass integrals
  • 5. Mixed volumes
  • 6. Inequalities for mixed volumes
  • 7. Selected applications
  • Appendix.

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Details

  • NCID
    BA85633009
  • ISBN
    • 9780521059916
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge, UK
  • Pages/Volumes
    xiii, 490 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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