Overview

"Discrete Geometry is the kind of area in which problems can be quickly expressed and understood by a wide audience, as usually only elementary geometry is involved. This long-awaited book is based on William O.J. Moser's problem collection that has been circulating in the community for many years. The authors state a much extended variety of problems. For each problem they provide the historical background and give comprehensive references. The book will be of great value to any graduate student and researcher in discrete geometry.Bernard Chazelle (Princeton University): ""This will be a terrific book. I've had drafts of it over the years, and I can't wait to have the final version. It will be extremely popular in the discrete geometry community (where the authors are undisputed leaders). This project has my highest recommendation."" Joel Spencer (NYU): ""- Pach has that wonderful ""Hungarian"" sense of problem posing and solving. ' This is a very exciting project'"""

Full Product Details

Author:   Peter Brass ,  William O. J. Moser ,  János Pach
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1st ed. 2005. Corr. 2nd printing 2006
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   1.960kg
ISBN:  

9780387238159

ISBN 10:   0387238158
Pages:   500
Publication Date:   07 September 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Definitions and Notations.- Density Problems for Packings and Coverings.- Structural Packing and Covering Problems.- Packing and Covering with Homothetic Copies.- Tiling Problems.- Distance Problems.- Problems on Repeated Subconfigurations.- Incidence and Arrangement Problems.- Problems on Points in General Position.- Graph Drawings and Geometric Graphs.- Lattice Point Problems.- Geometric Inequalities.

Reviews

Aus den Rezensionen: Die vorliegende Sammlung ! handelt sich hauptsachlich um Probleme aus dem Umkreis der ungarischen Schule der Diskreten Geometrie ! Jede einzelne Frage wird sorgfaltig dargestellt und mit einer Aubersicht der relevanten Literatur versehen. Das Buch ist anregend und wird mit Sicherheit zu vielen neuen Arbeiten fuhren. (Peter M. Gruber, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 202, S. 43 f.)

Author Information

"Pach is a distinguished researcher at NYU, his book ""Combinatorial Geometry,"" 1995, Wiley, is considered ""the bible"" in the area of discrete geometry. He has also published several books with Springer-Verlag. William O.J. Moser is a Springer author as well. He has been awarded the CMS 2003 Distinguished Service Award for his sustained and significant contributions to the Canadian mathematical community."

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