Research Problems in Discrete Geometry
Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But ma...
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| المؤلفون الرئيسيون: | , , |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
2005.
Cham : Springer Nature |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Research Problems in Discrete Geometry, Texte imprimé, 9780387238159 • Research Problems in Discrete Geometry, Texte imprimé, 9780387503813 • Research Problems in Discrete Geometry, Texte imprimé, 9781441920164 |
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| 100 | 1 | |a Brass, Peter, |d 19..- | |
| 245 | 1 | 0 | |a Research Problems in Discrete Geometry |c by Peter Brass, William O.J. Moser, Jànos Pach. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2005. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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 Drawings and Geometric Graphs -- Lattice Point Problems -- Geometric Inequalities. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad. Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It 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. 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. Important features include: * More than 500 open problems, some old, others new and never before published; * Each chapter divided into self-contained sections, each section ending with an extensive bibliography; * A great selection of research problems for graduate students looking for a dissertation topic; * A comprehensive survey of discrete geometry, highlighting the frontiers and future of research; * More than 120 figures; * A preface to an earlier version written by the late Paul Erdos. Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute, Budapest. | ||
| 700 | 1 | |a Moser, William, |d 1927-2009. |4 aut | |
| 700 | 1 | |a Pach, János, |d 1954-...., |c mathématicien. |4 aut | |
| 776 | 0 | |t Research Problems in Discrete Geometry |b Texte imprimé |z 9780387238159 | |
| 776 | 0 | |t Research Problems in Discrete Geometry |b Texte imprimé |z 9780387503813 | |
| 776 | 0 | |t Research Problems in Discrete Geometry |b Texte imprimé |z 9781441920164 | |
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