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

著者: Silvio Levy
出版: Cambridge [England] ; New York : Cambridge University Press, 1999.
シリーズ: Mathematical Sciences Research Institute publications, 35.
エディション/フォーマット:   書籍 : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
"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  続きを読む
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関連の人物: Felix Klein; Felix Klein
資料の種類: インターネット資料
ドキュメントの種類: 図書, インターネットリソース
すべての著者/寄与者: Silvio Levy
ISBN: 0521660661 9780521660662 0521004195 9780521004190
OCLC No.: 40396998
物理形態: x, 331 p. : ill. ; 25 cm.
コンテンツ: 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, F₂₈ for Q([symbol for square root]7) / Allan Adler --
On the order-seven transformation of elliptic functions / Felix Klein ; translated by Silvio Levy.
シリーズタイトル: Mathematical Sciences Research Institute publications, 35.
責任者: edited by Silvio Levy.
その他の情報:

概要:

Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.  続きを読む

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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."--BOOK JACKET."
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