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Convex bodies : the Brunn-Minkowski theory / Rolf Schneider.

By: Material type: TextTextSeries: Encyclopedia of mathematics and its applications ; 151Publication details: Cambridge : CUP, 2014.Edition: 2nd expanded edDescription: xxii, 736 p. ; 24 cmISBN:
  • 9781107601017 (hardback)
Subject(s): DDC classification:
  • 516.374 23 Sch359
Contents:
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--
Summary: A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516.374 Sch359 (Browse shelf(Opens below)) Available 135338
Total holds: 0

"First published 1993; first paperback edition 2008"--Title page verso.

Includes bibliographical references (pages 629-714) and indexes.

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--

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

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