Résumé
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.
Contents
- Preface
- The eightfold way
- The geometry of klein's rieman surface
- The Klein quartic in number theory
- Hurwitz groups and surfaces
- From the history of a simple group
- Eightfold way : The sculpture
- Invariants of SL2
- Hirzebruch's curves
- On the order-seven transformation of elliptic functions
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Cambridge University Press |
| Auteur(s) | Silvio Levy |
| Parution | 15/07/2001 |
| Nb. de pages | 332 |
| Format | 15,5 x 23 |
| Couverture | Broché |
| Poids | 495g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780521004190 |
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