Lectures on sphere arrangements : the discrete geometric side
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 conta...
Shranjeno v:
| Glavni avtor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2013. |
| Serija: | Fields Institute Monographs
32 |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lectures on sphere arrangements, the discrete geometric side, Károly Bezdek, New York, Springer, The Fields Institute for Research in the Mathematical Sciences, 2013, 1 vol. (XII -175 p.), Fields Institute monographs, 978-1-461-48117-1 • Lectures on Sphere Arrangements - the Discrete Geometric Side, Texte imprimé, 9781493900329 • Lectures on Sphere Arrangements - the Discrete Geometric Side, Texte imprimé, 9781461481195 • Lectures on sphere arrangements, the discrete geometric side, Károly Bezdek, New York, Springer, The Fields Institute for Research in the Mathematical Sciences, 2013, 1 vol. (XII -175 p.), Fields Institute monographs, 978-1-461-48117-1 |
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| 009 | PPN172420660 | ||
| 020 | |a 9781461481188 | ||
| 020 | |a 9781461481188 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.1 | ||
| 100 | 1 | |a Bezdek, Károly, |d 1955- | |
| 245 | 1 | 0 | |a Lectures on sphere arrangements : |b the discrete geometric side |c by Károly Bezdek. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Fields Institute Monographs |v 32 |x 2194-3079 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 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. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders. | ||
| 776 | 0 | |0 185551211 |t Lectures on sphere arrangements |o the discrete geometric side |f Károly Bezdek |c New York |n Springer |n The Fields Institute for Research in the Mathematical Sciences |d 2013 |p 1 vol. (XII -175 p.) |s Fields Institute monographs |z 978-1-461-48117-1 | |
| 776 | 0 | |t Lectures on Sphere Arrangements - the Discrete Geometric Side |b Texte imprimé |z 9781493900329 | |
| 776 | 0 | |t Lectures on Sphere Arrangements - the Discrete Geometric Side |b Texte imprimé |z 9781461481195 | |
| 776 | 0 | |0 185551211 |t Lectures on sphere arrangements |o the discrete geometric side |f Károly Bezdek |c New York |n Springer |n The Fields Institute for Research in the Mathematical Sciences |d 2013 |p 1 vol. (XII -175 p.) |s Fields Institute monographs |z 978-1-461-48117-1 | |
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| 997 | |0 946863 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||