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Beschreibung
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.
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.
Über den 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.
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.
Zusammenfassung
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.
Inhaltsverzeichnis
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.
Details
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xii
500 S. 116 s/w Illustr. 500 p. 116 illus. |
| ISBN-13: | 9781441920164 |
| ISBN-10: | 1441920161 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Brass, Peter
Moser, William O. J. Pach, János |
| Auflage: | Softcover reprint of hardcover 1st edition 2005 |
| Hersteller: |
Springer
Copernicus Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 28 mm |
| Von/Mit: | Peter Brass (u. a.) |
| Erscheinungsdatum: | 29.10.2010 |
| Gewicht: | 0,768 kg |