| 000 | 02831nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-3-0348-0015-0 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083739.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110502s2011 sz | s |||| 0|eng d | ||
| 020 |
_a9783034800150 _9978-3-0348-0015-0 |
||
| 024 | 7 |
_a10.1007/978-3-0348-0015-0 _2doi |
|
| 050 | 4 | _aQA564-609 | |
| 072 | 7 |
_aPBMW _2bicssc |
|
| 072 | 7 |
_aMAT012010 _2bisacsh |
|
| 082 | 0 | 4 |
_a516.35 _223 |
| 100 | 1 |
_aDragović, Vladimir. _eauthor. |
|
| 245 | 1 | 0 |
_aPoncelet Porisms and Beyond _h[electronic resource] : _bIntegrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics / _cby Vladimir Dragović, Milena Radnović. |
| 264 | 1 |
_aBasel : _bSpringer Basel, _c2011. |
|
| 300 |
_aVIII, 294p. 75 illus., 1 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aFrontiers in Mathematics, _x1660-8046 |
|
| 505 | 0 | _aIntroduction 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 | _aThe 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 | _aMathematics. | |
| 650 | 0 | _aGeometry, algebraic. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAlgebraic Geometry. |
| 700 | 1 |
_aRadnović, Milena. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783034800143 |
| 830 | 0 |
_aFrontiers in Mathematics, _x1660-8046 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-0348-0015-0 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c106579 _d106579 |
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