Research problems in discrete geometry

Peter Brass, William Moser, Jáos Pach

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.

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[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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この本の情報

書名 Research problems in discrete geometry
著作者等 Moser, W. O. J.
Pach, János
Brab Peter
Pach Janos
Brass Peter
出版元 Springer
刊行年月 2005
版表示 1st ed. 2005. Corr. 2nd printing 2006
ページ数 xii, 499 p.
大きさ 25 cm
ISBN 0387238158
NCID BA74367275
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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