Geometry - Intuitive, Discrete, and Convex
Title | Geometry - Intuitive, Discrete, and Convex PDF eBook |
Author | Imre Bárány |
Publisher | Springer |
Pages | 384 |
Release | 2015-04-09 |
Genre | Mathematics |
ISBN | 3642414982 |
The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth.
Geometry - Intuitive, Discrete, and Convex
Title | Geometry - Intuitive, Discrete, and Convex PDF eBook |
Author | Imre Bárány |
Publisher | |
Pages | 389 |
Release | 2013 |
Genre | Combinatorial geometry |
ISBN | 9789639453173 |
The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth.
Convex and Discrete Geometry
Title | Convex and Discrete Geometry PDF eBook |
Author | Peter M. Gruber |
Publisher | Springer Science & Business Media |
Pages | 590 |
Release | 2007-05-17 |
Genre | Mathematics |
ISBN | 3540711333 |
Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.
New Trends in Intuitive Geometry
Title | New Trends in Intuitive Geometry PDF eBook |
Author | Gergely Ambrus |
Publisher | Springer |
Pages | 458 |
Release | 2018-11-03 |
Genre | Mathematics |
ISBN | 3662574136 |
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.
Strange Phenomena in Convex and Discrete Geometry
Title | Strange Phenomena in Convex and Discrete Geometry PDF eBook |
Author | Chuanming Zong |
Publisher | Springer Science & Business Media |
Pages | 167 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461384818 |
Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?) - in terms that a layman can understand; and one can reasonably make conjectures about their solutions with little training in mathematics.
Intuitive Geometry
Title | Intuitive Geometry PDF eBook |
Author | Imre Bárány |
Publisher | |
Pages | 456 |
Release | 1997 |
Genre | Geometry |
ISBN |
Lectures on Discrete Geometry
Title | Lectures on Discrete Geometry PDF eBook |
Author | Jiri Matousek |
Publisher | Springer Science & Business Media |
Pages | 491 |
Release | 2013-12-01 |
Genre | Mathematics |
ISBN | 1461300398 |
The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets, geometric Ramsey-type results, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.