New Trends in Intuitive Geometry: Bolyai Society Mathematical Studies, cartea 27
Editat de Gergely Ambrus, Imre Bárány, Károly J. Böröczky, Gábor Fejes Tóth, János Pachen Limba Engleză Hardback – 13 noi 2018
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Specificații
ISBN-13: 9783662574126
ISBN-10: 3662574128
Pagini: 395
Ilustrații: X, 458 p. 180 illus., 16 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.84 kg
Ediția:1st ed. 2018
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Bolyai Society Mathematical Studies
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3662574128
Pagini: 395
Ilustrații: X, 458 p. 180 illus., 16 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.84 kg
Ediția:1st ed. 2018
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Bolyai Society Mathematical Studies
Locul publicării:Berlin, Heidelberg, Germany
Cuprins
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.
Notă biografică
Gergely Ambrus is a researcher at the Alfréd Rényi Institute of Mathematics, working in discrete, convex and stochastic geometry and discrete analysis. He has organized several conferences in the field.
Imre Bárány is a research professor at the Alfréd Rényi Institute of Mathematics in Budapest and the Astor Professor of Mathematics at University College London. His main field of interest is discrete and convex geometry, and random points and lattice points in convex bodies, with applications in computer science, operations research, and elsewhere. He was an invited speaker at ICM 2002, Beijing. He has organized several conferences in discrete and convex geometry including three in Oberwolfach on Discrete Geometry.
Károly J. Böröczky is a research professor at the Alfréd Rényi Institute of Mathematics and also a professor at the Central European University and the Loránd Eötvös University. He has organized numerous conferences on discrete and combinatorial geometry including one at AIM, and is the author of the monograph Finite Packing and Covering, published in 2004.
Gábor Fejes Tóth is a research professor emeritus at the Alfréd Rényi Institute of Mathematics. His area of research is discrete geometry and convexity. Before his retirement he headed the Department of Geometry of the Rényi Institute. He has organized several conferences in discrete and convex geometry including one in Oberwolfach on Discrete Geometry.
János Pach is a research professor at the Alfréd Rényi Institute of Mathematics and also a professor at the École Polytechnique Fédérale de Lausanne, Switzerland. His main fields of interest are combinatorics, discrete and computational geometry. He was invited speaker at ICM 2014, Seoul. He is coauthor of the monographs Combinatorial Geometry (1995) and Research Problems in Discrete Geometry (2005).
Imre Bárány is a research professor at the Alfréd Rényi Institute of Mathematics in Budapest and the Astor Professor of Mathematics at University College London. His main field of interest is discrete and convex geometry, and random points and lattice points in convex bodies, with applications in computer science, operations research, and elsewhere. He was an invited speaker at ICM 2002, Beijing. He has organized several conferences in discrete and convex geometry including three in Oberwolfach on Discrete Geometry.
Károly J. Böröczky is a research professor at the Alfréd Rényi Institute of Mathematics and also a professor at the Central European University and the Loránd Eötvös University. He has organized numerous conferences on discrete and combinatorial geometry including one at AIM, and is the author of the monograph Finite Packing and Covering, published in 2004.
Gábor Fejes Tóth is a research professor emeritus at the Alfréd Rényi Institute of Mathematics. His area of research is discrete geometry and convexity. Before his retirement he headed the Department of Geometry of the Rényi Institute. He has organized several conferences in discrete and convex geometry including one in Oberwolfach on Discrete Geometry.
János Pach is a research professor at the Alfréd Rényi Institute of Mathematics and also a professor at the École Polytechnique Fédérale de Lausanne, Switzerland. His main fields of interest are combinatorics, discrete and computational geometry. He was invited speaker at ICM 2014, Seoul. He is coauthor of the monographs Combinatorial Geometry (1995) and Research Problems in Discrete Geometry (2005).
Textul de pe ultima copertă
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.
Caracteristici
17 survey articles in an active research field Modern algebraic and topological methods Includes open problems in various connected areas