A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Rolf Schneider is Professor Emeritus in the Faculty of Mathematics and Physics at Albert-Ludwigs-Universität Freiburg, Germany.
Inhaltsangabe
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.
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.
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