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Record Nr. |
UNINA9910438151103321 |
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Autore |
Bezdek Karoly |
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Titolo |
Lectures on sphere arrangements : the discrete geometric side / / Karoly Bezdek |
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Pubbl/distr/stampa |
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New York, : Springer, 2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (xii, 175 pages) : illustrations (some color) |
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Collana |
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Field Institute monographs, , 1069-5273 ; ; v. 32 |
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Disciplina |
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Soggetti |
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Discrete geometry |
Sphere packings |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"The thematic program on 'Discreet Geometry and Applications' took place at the Fields Institute for Research in Mathematical Sciences in Toronto between July 1 and December 31, 2011." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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1. Unit Sphere Packings -- 2. Proofs on Unit Sphere Packings -- 3. Contractions of Sphere Arrangements -- 4. Proofs on Contractions of Sphere Arrangements -- 5. Ball-Polyhedra and Spindle Convex Bodies -- 6. Proofs on Ball-Polyhedra and Spindle Convex Bodies -- 7. Coverings by Cylinders -- 8. Proofs on Coverings by Cylinders -- 9. Research Problems - an Overview -- Glossary -- References. |
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Sommario/riassunto |
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This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course. The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications and contains four basic topics. The first two deal with active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings |
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