Research Problems in Discrete Geometry

Academic/professional/technical: Postgraduate. Adult: General. Academic/professional/technical: Undergraduate
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ISBN-13:
9780387238159
Veröffentl:
2006
Erscheinungsdatum:
01.07.2006
Seiten:
499
Autor:
Peter Brass
Gewicht:
964 g
Format:
241x161x35 mm
Sprache:
Englisch
Beschreibung:

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.
This book is a collection of more than 500 attractive open problems in the field and is more up-to-date than any of the competitive books. It is the result of a 25-year-old project initiated by the late Leo Moser. 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. The book's authors are leaders in the field of discrete geometry.
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.
This book 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.

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