数学・数理解析の研究の面白さ・深さを、 感性豊かな学生諸君に味わってもらうことを意図して講義し、 原則として予備知識は仮定しない。
|講師：||Helmke, Stefan 助教|
On Abel's Theorem
Niels Henrik Abel was born in 1802 in Norway. In his very short
life (until 1829) he made some major contributions to various
fields of mathematics, including a proof of the impossibility
to solve the quintic equation with radicals--a problem which
puzzled mathematicians for more than two centuries. His most
famous work however, is on a very broad generalization of the
theory of elliptic integrals, which were studied since the
early 18th century. These so-called abelian integrals had an
enormous impact on the later developments of mathematics.
In this lecture I will try to explain the contents and historical background of Abel's Theorem (on abelian integrals) in a hopefully elementary and coherent way.
A quite comprehensive account on Abel's Theorem can be found in: