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Poncelet porisms and beyond : integrable billiards, hyperelliptic jacobians and pencils of quadrics

Author: Vladimir Dragović; Milena Radnović
Publisher: Basel : Birkhäuser, ©2011.
Series: Frontiers in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

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  Read more...

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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Vladimir Dragović; Milena Radnović
ISBN: 9783034800150 3034800150 9783034800143 3034800142
OCLC Number: 733542617
Description: 1 online resource (vii, 293 pages) : illustrations, portraits.
Contents: 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.
Series Title: Frontiers in mathematics.
Responsibility: Vladimir Dragović, Milena Radnović.

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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 Read more...

 
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