Convex Bodies: The Brunn–Minkowski Theory (Hardcover, 2 Revised edition)

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.