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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dragović, Vladimir (Autor), Radnović, Milena (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Frontiers in Mathematics,
Temas:
Algebraic geometry.
Algebraic Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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