Convex bodies : the Brunn-Minkowski theory /
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Author / Creator: | Schneider, Rolf, 1940- |
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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 |
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