Overview
- 17 survey articles in an active research field
- Modern algebraic and topological methods
- Includes open problems in various connected areas
Part of the book series: Bolyai Society Mathematical Studies (BSMS, volume 27)
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Table of contents (18 chapters)
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Front Matter
Keywords
About this book
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.
Editors and Affiliations
About the editors
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).
Bibliographic Information
Book Title: New Trends in Intuitive Geometry
Editors: Gergely Ambrus, Imre Bárány, Károly J. Böröczky, Gábor Fejes Tóth, János Pach
Series Title: Bolyai Society Mathematical Studies
DOI: https://doi.org/10.1007/978-3-662-57413-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 2018
Hardcover ISBN: 978-3-662-57412-6Published: 13 November 2018
eBook ISBN: 978-3-662-57413-3Published: 03 November 2018
Series ISSN: 1217-4696
Series E-ISSN: 2947-9460
Edition Number: 1
Number of Pages: X, 458
Number of Illustrations: 164 b/w illustrations, 16 illustrations in colour
Topics: Convex and Discrete Geometry, Combinatorics, Polytopes, Topology