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Convex Bodies

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Convex Bodies

Convex Bodies

The Brunn-Minkowski Theory
Rolf Schneider, Albert-Ludwigs-Universität Freiburg, Germany
No date available
Paperback
9780521059916
Paperback
    Description

    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.

    • Schneider is a leading figure in this field
    • Material previously only available in German

    Product details

    No date available
    Paperback
    9780521059916
    508 pages
    235 × 155 × 25 mm
    0.713kg

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    Table of Contents

    • 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.
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      Author
    • Rolf Schneider , Albert-Ludwigs-Universität Freiburg, Germany

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