Research problems in discrete geometry
著者
書誌事項
Research problems in discrete geometry
Springer, 2005
大学図書館所蔵 全18件
注記
Includes indexes
内容説明・目次
内容説明
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.
目次
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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