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Poncelet Porisms and Beyond Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics /
The goal of the book is to present, in a complete and comprehensive way, areas of current research interlacing around the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. The most important res...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2011.
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| Edición: | 1st ed. 2011. |
| Colección: | Frontiers in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-0348-0015-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220114013939.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110502s2011 sz | s |||| 0|eng d | ||
| 020 | |a 9783034800150 |9 978-3-0348-0015-0 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0015-0 |2 doi | |
| 050 | 4 | |a QA564-609 | |
| 072 | 7 | |a PBMW |2 bicssc | |
| 072 | 7 | |a MAT012010 |2 bisacsh | |
| 072 | 7 | |a PBMW |2 thema | |
| 082 | 0 | 4 | |a 516.35 |2 23 |
| 100 | 1 | |a Dragović, Vladimir. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Poncelet Porisms and Beyond |h [electronic resource] : |b Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics / |c by Vladimir Dragović, Milena Radnović. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2011. | |
| 300 | |a VIII, 294 p. 75 illus., 1 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 505 | 0 | |a Introduction to Poncelet Porisms -- Billiards - First Examples -- Hyper-Elliptic Curves and Their Jacobians -- Projective geometry -- Poncelet Theorem and Cayley's Condition -- Poncelet-Darboux Curves and Siebeck-Marden Theorem -- Ellipsoidal Billiards and their Periodical Trajectories -- Billiard Law and Hyper-Elliptic Curves -- Poncelet Theorem and Continued Fractions -- Quantum Yang-Baxter equation and (2-2)-correspondences -- Bibliography -- Index. | |
| 520 | |a The goal of the book is to present, in a complete and comprehensive way, areas of current research interlacing around the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. The most important results and ideas, classical as well as modern, connected to the Poncelet theorem are presented, together with a historical overview analyzing the classical ideas and their natural generalizations. Special attention is paid to the realization of the Griffiths and Harris programme about Poncelet-type problems and addition theorems. This programme, formulated three decades ago, is aimed to understanding the higher-dimensional analogues of Poncelet problems and the realization of the synthetic approach of higher genus addition theorems. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 700 | 1 | |a Radnović, Milena. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034800143 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034800167 |
| 830 | 0 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0348-0015-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||