Rolf Schneider
Cambridge University Press
e druk, 1993
9780521352208
Convex Bodies
The Brunn-Minkowski Theory
Specificaties
Gebonden, 508 blz.
|
Engels
Cambridge University Press |
e druk, 1993
ISBN13: 9780521352208
Rubricering
Onderdeel van serie
Encyclopedia of Math
Levertijd ongeveer 8 werkdagen
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
Uitgever:Cambridge University Press
Serie:Encyclopedia of Math
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.