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＜電子ブック＞
New Trends in Intuitive Geometry / edited by Gergely Ambrus, Imre Bárány, Károly J. Böröczky, Gábor Fejes Tóth, János Pach
(Bolyai Society Mathematical Studies. ISSN:29479460 ; 27)

版	1st ed. 2018.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	2018
本文言語	英語
大きさ	X, 458 p. 180 illus., 16 illus. in color : online resource
著者標目	Ambrus, Gergely editor Bárány, Imre editor Böröczky, Károly J editor Fejes Tóth, Gábor editor Pach, János editor SpringerLink (Online service)
件　名	LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Discrete mathematics LCSH:Polytopes LCSH:Topology FREE:Convex and Discrete Geometry FREE:Discrete Mathematics FREE:Polytopes FREE:Topology
一般注記	Introduction -- A. Barvinok: The tensorization trick in geometry -- K. Bezdek and M. A. Khan: Contact numbers for sphere packings -- P. M. Blagojević, A. S. D. Blagojević, and G. M. Ziegler: The topological Tverberg theorem plus constraints -- B. Csikós: On the volume of Boolean expressions of balls – A review of the Kneser-Poulsen conjecture -- F. de Zeeuw: A survey of Elekes-Rónyai-type problems -- G. Domokos and G. W. Gibbons: The geometry of abrasion -- F. M. de Oliveira Filho and F. Vallentin: Computing upper bounds for the packing density of congruent copies of a convex body -- P. Hajnal and E. Szemerédi: Two geometrical applications of the semi-random method -- A. F. Holmsen: Erdős-Szekeres theorems for families of convex sets -- R. Kusner, W. Kusner, J. C. Lagarias, and S. Shlosman: Configuration spaces of equal spheres touching a given sphere: the twelve spheres problem -- E. León and G. M. Ziegler: Spaces of convex n-partitions -- P. McMullen: New regular compounds of 4-polytopes -- O.R. Musin, Five Essays on the Geometry of László Fejes Tóth -- M. Naszódi: Flavors of translative coverings -- M. Sharir and Noam Solomon: Incidences between points and lines in three dimensions -- J. Solymosi and F. de Zeeuw: Incidence bounds for complex algebraic curves on Cartesian products -- K. J. Swanepoel: Combinatorial distance geometry in normed spaces. This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research HTTP:URL=https://doi.org/10.1007/978-3-662-57413-3

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