Classical topics in discrete geometry / Károly Bezdek
Type de document : Livre numériqueCollection : CMS books in mathematicsLangue : anglais.Éditeur : New York : Springer, cop. 2010ISBN: 9781441905994.ISSN: 1613-5237.Sujet MSC : 52-02, Research exposition (monographs, survey articles) pertaining to convex and discrete geometry52A20, General convexity, Convex sets in n dimensions (including convex hypersurfaces)
52A38, General convexity, Length, area, volume and convex sets (aspects of convex geometry)
52B70, Convex and discrete geometry - Polytopes and polyhedra, Polyhedral manifolds
52C17, Discrete geometry, Packing and covering in n dimensionsEn-ligne : Springerlink | MathSciNet | zbMath
Contents: Preface; Part I. Classical topics revisited: 1. Sphere packings; 2. Finite packings by translates of convex bodies; 3. Coverings by homothetic bodies—illumination and related topics; 4. Coverings by planks and cylinders; 5. On the volume of finite arrangements of spheres; 6. Ball-polyhedra as intersections of congruent balls; Part II. Selected proofs: 7. Selected proofs on sphere packings; 8. Selected proofs on finite packings of translates of convex bodies; 9. Selected proofs on illumination and related topics; 10. Selected proofs on coverings by planks and cylinders; 11. Selected proofs on the Kneser-Poulsen conjecture; 12. Selected proofs on ball-polyhedra; References.
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