希腊数学的最高成就是正多面体的分类，即五种所谓的柏拉图体。最复杂的正多面体是二十面体。直到19世纪，数学中最重要的问题是解代数方程。在这本经典著作中，Klein展示了如何将这两个看似无关的主题联系起来，并将它们与另一个新的数学理论联系在一起：超几何函数和单值群。这清楚地表明了克莱因对数学统一性的高瞻远瞩。本书包括Peter Slodowy的评注和他关于Klein这本经典著作的解释性论文，从而帮助读者理解ADE的分类，以及它们在当前研究中的许多意想不到的联系和应用。The highest achievement of the Greek mathematics is the classification of regular solids, the five so-called Platonic solids.The most complicated solid is the icosahedron. Up to and through the 19th century, the mostimportant problem in mathematics was to solvealgebraic equations. In this classic book, Klein showed how to relate these two seemingly unrelated topics and also tied them together with another new theory of mathematics: hypergeometric functions and monodromy groups. This clearly shows Klein's vision of the unity of mathematics.This book includes Peter Slodowy’s commentaries and his expository paper on Klein's book to help readers to understand the ADE classification, and their many unexpected connections and applications under current study.
