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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
February 1993
Replaced By 9781107601017
Hardback
9780521352208
    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

    Reviews & endorsements

    "A replacement for Bonnesen and Fenchel's text has been very much needed; the monograph under review provides a most satisfactory one." W.J. Firey, Mathematical Reviews

    See more reviews

    Product details

    February 2011
    Adobe eBook Reader
    9780511828881
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    This title is available for institutional purchase via Cambridge Core

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    Convex Bodies: The Brunn–Minkowski Theory
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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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    About the authors
      Author
    • Rolf Schneider , Albert-Ludwigs-Universität Freiburg, Germany

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