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Research Problems in Discrete Geometry

E-BookPDF1 - PDF WatermarkE-Book
500 Seiten
Englisch
Springer New Yorkerschienen am27.01.20062005
Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad.

Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Important features include:

* More than 500 open problems, some old, others new and never before published;

* Each chapter divided into self-contained sections, each section ending with an extensive bibliography;

* A great selection of research problems for graduate students looking for a dissertation topic;

* A comprehensive survey of discrete geometry, highlighting the frontiers and future of research;

* More than 120 figures;

* A preface to an earlier version written by the late Paul Erdos.



Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute, Budapest.
mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
BuchGebunden
EUR57,50
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextAlthough discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad.

Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Important features include:

* More than 500 open problems, some old, others new and never before published;

* Each chapter divided into self-contained sections, each section ending with an extensive bibliography;

* A great selection of research problems for graduate students looking for a dissertation topic;

* A comprehensive survey of discrete geometry, highlighting the frontiers and future of research;

* More than 120 figures;

* A preface to an earlier version written by the late Paul Erdos.



Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute, Budapest.
Details
Weitere ISBN/GTIN9780387299297
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2006
Erscheinungsdatum27.01.2006
Auflage2005
Seiten500 Seiten
SpracheEnglisch
IllustrationenXII, 500 p. 116 illus.
Artikel-Nr.3030454
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr

Autor

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.