Convexity from the Geometric Point of View
This text gives a comprehensive introduction to the “common core” of convex geometry. Basic concepts and tools which are present in all branches of that field are presented with a highly didactic approach. Mainly directed to graduate and advanced undergraduates, the book is self-contained in such a...
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| Auteurs principaux: | , , |
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| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
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| Édition: | 1st ed. 2024. |
| Collection: | Cornerstones,
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| Sujets: | |
| Accès en ligne: | https://doi.org/10.1007/978-3-031-50507-2 |
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Table des matières:
- Preface
- 1. Convex functions
- 2. Convex sets
- 3. A first look into polytopes
- 4. Volume and area
- 5. Classical inequalities
- 6. Mixed volumes- 7. Mixed surface area measures
- 8. The Alexandrov-Frechel inequality
- 9. Affine convex geometry Part 1
- 10. Affine convex geometry Part 2
- 11. Further selected topics.-12. Historical steps of development of convexity as a field
- A. Measure theory for convex geometers
- References
- Index.