The Eightfold Way: The Beauty of Klein's Quartic Curve (Mathematical Sciences Research Institute Publications) ebook

by Silvio Levy

The German mathematician Felix Klein discovered in 1879 that the surface that we now call the Klein quartic has many remarkable .

The German mathematician Felix Klein discovered in 1879 that the surface that we now call the Klein quartic has many remarkable properties. Since then, mathematicians have discovered that the same object comes up in different guises in many areas of mathematics, from complex analysis and geometry to number theory. This volume explores the rich tangle of properties and theories surrounding this multiform object.

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The book closes with the first English translation of Klein's seminal article on this surface. Book Description: The German mathematician Felix Klein discovered in 1879 that the surface that we now call the Klein quartic has many remarkable properties.

MSRI Publications - Volume 35. The Eightfold Way: The Beauty of. . The Eightfold Way: The Beauty of Klein's Quartic Curve. Felix Klein discovered in the 1870's that the simple and elegant equation x3y + y3z + z3x (in complex projective coordinates) describes a surface having many remarkable properties, including 336-fold symmetry - the maximum possible for any surface of this genus.

The book is unique in that it also includes an article on the aesthetic aspects of mathematics. In fact several of the papers collected here make reference to the beauty of mathematics. The book consists of a preface by Silvio Levy, an article by Claire and Helaman Ferguson about the sculpture, seven mathematical articles related to the Klein Quartic curve, and finally Silvio Levy's English translation of Felix Klein's original article. William Thurston's article is a copy of the hand-out given to the general public at the unveiling.

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Поиск книг BookFi BookSee - Download books for free. Fields and Galois Theory. Falko Lorenz, Silvio Levy.

The Eightfold Way book. The German mathematician Felix Klein discovered in 1879 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.

The eightfold way. The beauty of Klein’s quartic curve. The beauty of Klein's quartic curve. Way The. The eightfold way. The Klein quartic in number theory, The Eightfold Way, Math.

The German mathematician Felix Klein discovered in 1879 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, from complex analysis and geometry to number theory. This volume explores the rich tangle of properties and theories surrounding this multiform object. It includes expository and research articles by renowned mathematicians in different fields. It also 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.