Convex bodies : the Brunn-Minkowski theory /

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Bibliographic Details
Author / Creator:Schneider, Rolf, 1940-
Edition:Second Expanded Edition.
Imprint:New York : Cambridge University Press, 2014.
Description:xxii, 736 pages ; 24 cm.
Language:English
Series:Encyclopedia of mathematics and its applications ; 151
Encyclopedia of mathematics and its applications ; 151.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/9863756
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ISBN:9781107601017 (hardback)
1107601010 (hardback)
Notes:"First published 1993; first paperback edition 2008"--Title page verso.
Includes bibliographical references (pages 629-714) and indexes.
Table of Contents:
  • Preface to the second edition
  • Preface to the first edition
  • General hints to the literature
  • Conventions and notation
  • 1. Basic convexity
  • 2. Boundary structure
  • 3. Minkowski addition
  • 4. Support measures and intrinsic volumes
  • 5. Mixed volumes and related concepts
  • 6. Valuations on convex bodies
  • 7. Inequalities for mixed volumes
  • 8. Determination by area measures and curvatures
  • 9. Extensions and analogues of the Brunn-Minkowski theory
  • 10. Affine constructions and inequalities
  • Appendix: Spherical harmonics
  • References
  • Notation index
  • Author index
  • Subject index