全学共通科目講義(1回生~4回生対象)
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現代の数学と数理解析 |
―― 基礎概念とその諸科学への広がり |
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。 | |
日時: | 2017年5月26日(金) 16:30-18:00 |
場所: | 数理解析研究所 420号室 |
講師: | Helmke, Stefan 助教 |
題目: |
On Abel's Theorem
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要約: |
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. References: A quite comprehensive account on Abel's Theorem can be found in:
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"http://www.kurims.kyoto-u.ac.jp/ja/special-02.html" |