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The eightfold way : the beauty of Klein's quartic curve

Auteur : Silvio Levy
Éditeur : Cambridge [England] ; New York : Cambridge University Press, 1999.
Collection : Mathematical Sciences Research Institute publications, 35.
Édition/format :   Print book : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
"Felix Klein discovered in the 1870s that the simple equation x[superscript 3]y + y[superscript 3]z + z[superscript 3]x = 0 (in complex projective coordinates) describes a surface having many remarkable properties, including 336-fold symmetry - the maximum possible for any surface of this genus. Since then this object has come up in different guises in several areas of mathematics." "The mathematical sculptor  Lire la suite...
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Détails

Personne nommée : Felix Klein; Felix Klein
Type d’ouvrage : Ressource Internet
Format : Livre, Ressource Internet
Tous les auteurs / collaborateurs : Silvio Levy
ISBN : 0521660661 9780521660662 0521004195 9780521004190
Numéro OCLC : 40396998
Description : x, 331 pages : illustrations ; 25 cm.
Contenu : The Eightfold Way : a mathematical sculpture by Helaman Ferguson / William P. Thurston --
The geometry of Klein's Riemann surface / Hermann Karcher and Matthias Weber --
The Klein quartic in number theory / Noam D. Elkies --
Hurwitz groups and surfaces / A. Murray Macbeath --
From the history of a simple group / Jeremy Gray --
Eightfold Way : the sculpture / Helaman Ferguson with Claire Ferguson --
Invariants of SL₂(F[subscript]q)·Aut(F[subscript]q) acting on C[superscript]n for q=2n"1 ; Hirzebruch's curves F₁, F₂, F₄, F₁₄, F₂ for Q([symbol for square root]7) / Allan Adler --
On the order-seven transformation of elliptic functions / Felix Klein ; translated by Silvio Levy.
Titre de collection : Mathematical Sciences Research Institute publications, 35.
Responsabilité : edited by Silvio Levy.
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Résumé :

Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.  Lire la suite...

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