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

Author: Silvio Levy
Publisher: Cambridge [England] ; New York : Cambridge University Press, 1999.
Series: Mathematical Sciences Research Institute publications, 35.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Named Person: Felix Klein; Felix Klein
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Silvio Levy
ISBN: 0521660661 9780521660662 0521004195 9780521004190
OCLC Number: 40396998
Description: x, 331 pages : illustrations ; 25 cm.
Contents: 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.
Series Title: Mathematical Sciences Research Institute publications, 35.
Responsibility: edited by Silvio Levy.
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Abstract:

Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.  Read more...

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