Convex Bodies

The Brunn-Minkowski Theory

Gebonden Engels 1993 9780521352208
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Samenvatting

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.

Specificaties

ISBN13:9780521352208
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:508

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Inhoudsopgave

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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€ 222,05
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        Convex Bodies