Convex bodies: the Brunn-Minkowski theory
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 satisfie...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1993
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 44 |
| Links: | https://doi.org/10.1017/CBO9780511526282 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiii, 490 Seiten) |
| ISBN: | 9780511526282 |
Internformat
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| indexdate | 2025-03-03T11:58:04Z |
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| isbn | 9780511526282 |
| language | English |
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| spelling | Schneider, Rolf 1940- Convex bodies the Brunn-Minkowski theory Rolf Schneider Cambridge Cambridge University Press 1993 1 Online-Ressource (xiii, 490 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 44 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. Erscheint auch als Druck-Ausgabe 9780521059916 Erscheint auch als Druck-Ausgabe 9780521352208 |
| spellingShingle | Schneider, Rolf 1940- Convex bodies the Brunn-Minkowski theory |
| title | Convex bodies the Brunn-Minkowski theory |
| title_auth | Convex bodies the Brunn-Minkowski theory |
| title_exact_search | Convex bodies the Brunn-Minkowski theory |
| title_full | Convex bodies the Brunn-Minkowski theory Rolf Schneider |
| title_fullStr | Convex bodies the Brunn-Minkowski theory Rolf Schneider |
| title_full_unstemmed | Convex bodies the Brunn-Minkowski theory Rolf Schneider |
| title_short | Convex bodies |
| title_sort | convex bodies the brunn minkowski theory |
| title_sub | the Brunn-Minkowski theory |
| work_keys_str_mv | AT schneiderrolf convexbodiesthebrunnminkowskitheory |