Overview
- Self-contained, with an elementary introduction
- Contains a complete account of higher-dimensional generalizations of Poncelet theorem, the corresponding Cayley-type conditions, and the Poncelet-Darboux grids.
- Gives introspection into exciting interlacing of different areas of mathematics around the Poncelet porism.
- Contains most modern results connected with the problems of Poncelet type.
- Includes supplementary material: sn.pub/extras
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (10 chapters)
Keywords
About this book
Reviews
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 context. The style is clear and the calculations are complete. … it is certainly a focused, enjoyable and valuable one.” (Emma Previato, Mathematical Reviews, Issue 2012 j)
“Poncelet Porisms and Beyond: Integrable Billiards, Hyperelliptic Jacobians, and Pencils of Quadrics … gives a nice picture of both Poncelet’s Porism and a number of the areas of mathematics that are close by. … Dragović and Radnović do a good job of covering a wide range of material, including both citations and descriptions of classical material as well as extremely cutting-edge results. … The exposition in the book is generally good, and … any mathematician who picks up this book will learn something from it.” (Darren Glass, The Mathematical Association of America, September, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Poncelet Porisms and Beyond
Book Subtitle: Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics
Authors: Vladimir Dragović, Milena Radnović
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-0348-0015-0
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel AG 2011
Softcover ISBN: 978-3-0348-0014-3Published: 06 May 2011
eBook ISBN: 978-3-0348-0015-0Published: 02 May 2011
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: VIII, 294
Number of Illustrations: 74 b/w illustrations, 1 illustrations in colour
Topics: Algebraic Geometry