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The Eightfold Way: the Beauty of Klein's Quartic Curve

by Levy, Silvio E

  • ISBN: 9780521660662
  • ISBN10: 0521660661

The Eightfold Way: the Beauty of Klein's Quartic Curve

by Levy, Silvio E

  • List Price: $94.99
  • Binding: Hardcover
  • Publisher: Cambridge University Press
  • Publish date: 01/01/1999
  • ISBN: 9780521660662
  • ISBN10: 0521660661
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Description: In 1879, the German mathematician Felix Klein discovered that the surface that we now call the Klein quartic has many remarkable properties, including an incredible 336-fold symmetry, the maximum possible degree of symmetry for any surface of its type. Since then, mathematicians have discovered that the same object comes up in different guises in many areas of mathematics. This volume explores the rich tangle of properties and theories surrounding this multiform object. It includes a beautifully illustrated essay by the mathematical sculptor Helaman Ferguson, who distilled some of the beauty and remarkable properties of this surface into a sculpture entitled "The Eightfold Way". The book closes with the first English translation of Klein's seminal article on this surface.
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