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Research Problems in Discrete Geometry

Gebonden Engels 2006 1e druk 9780387238159
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Samenvatting

This book is the result of a 25-year-old project and comprises 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.

Specificaties

ISBN13:9780387238159
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:500
Uitgever:Springer New York
Druk:1

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Inhoudsopgave

Preface.- Preface to an earlier version by Paul Erdos.- 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 Drawing and Geometric Graphs.- Lattice Point Problems.- Geometric Inequalities.- Author Index.- Subject Index.

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        Research Problems in Discrete Geometry