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Theory of convex bodies. Reprint of the 1948 ed. (Theorie der konvexen Körper.) (German) Zbl 0906.52001
Providence, RI: AMS Chelsea Publishing. 164 S. (1971).
This is a reissue of the 1948 Chelsea reprint of the classical and still valuable “Ergebnisbericht”. The original German edition (1934; Zbl 0008.07708) and the English translation (1987; Zbl 0628.52001) have been reviewed. Another reprint, by Springer (1974; Zbl 0277.52001), contains a list of minor errata.

##### MSC:
 52-02 Research exposition (monographs, survey articles) pertaining to convex and discrete geometry 52A20 Convex sets in $$n$$ dimensions (including convex hypersurfaces) 52A39 Mixed volumes and related topics in convex geometry 52A40 Inequalities and extremum problems involving convexity in convex geometry 52Bxx Polytopes and polyhedra
##### Keywords:
convex bodies; Brunn-Minkowski theory; mixed volume