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Poncelet Porisms and Beyond
Dragovic, Vladimir; Radnovic, Milena
€ 78.41
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Description for Poncelet Porisms and Beyond
Paperback. Here is a comprehensive exposition of the key results and ideas connected to the Poncelet theorem, focusing on the mathematics and including the dynamics of integrable billiards and the algebraic geometry of hyperelliptic Jacobians, among other material. Series: Frontiers in Mathematics. Num Pages: 302 pages, 74 black & white illustrations, 1 colour illustrations, biography. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 165 x 243 x 16. Weight in Grams: 504.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer Basel Switzerland
Number of pages
302
Condition
New
Series
Frontiers in Mathematics
Number of Pages
294
Place of Publication
Basel, Switzerland
ISBN
9783034800143
SKU
V9783034800143
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Poncelet Porisms and Beyond
From the reviews: “The book provides a self-guided introduction to a set of classical gems that have to do with elliptic or hyperelliptic addition theorems; several connections were worked out originally by the authors in previous research papers. In addition, solutions to some of the integrable systems that came of age in the 1970s … are produced in this ... Read more