Springer New Trends in Intuitive Geometry: 27 (Bolyai Society Mathematical Studies, 27)

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. From the Back Cover 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. About the Author 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).