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

著者: Silvio Levy
出版商: Cambridge [England] ; New York : Cambridge University Press, 1999.
丛书: Mathematical Sciences Research Institute publications, 35.
版本/格式:   图书 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
"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  再读一些...
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提及的人: Felix Klein; Felix Klein
材料类型: 互联网资源
文件类型: 书, 互联网资源
所有的著者/提供者: Silvio Levy
ISBN: 0521660661 9780521660662 0521004195 9780521004190
OCLC号码: 40396998
描述: x, 331 pages : illustrations ; 25 cm.
内容: 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.
丛书名: Mathematical Sciences Research Institute publications, 35.
责任: edited by Silvio Levy.
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摘要:

Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.  再读一些...

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schema:reviewBody""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 Helaman Ferguson has tried to distill some of the beauty and remarkable properties of this surface in the form of a sculpture that he entitled The Eightfold Way, permanently installed at the Mathematical Sciences Research Institute in Berkeley." "This volume seeks to explore the rich tangle of properties and theories surrounding this object, as well as its esthetic aspects."--Jacket."
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