Cartan, H.

…French mathematician. Born in a small village in the French Alps, his father was a blacksmith. He was intelligent from his elementary school days, and with the help of an inspector, he was able to obtain a scholarship and receive higher education. He graduated from the École Normale Supérieure in 1891, and in 1894 obtained his doctorate with his famous thesis that determined the structure of simple Lie algebras. After serving as professor at the universities of Montpellier, Lyon, and Nancy, he became a professor at the University of Paris in 1912, a position he held until 1940. With his almost mystical insight, he achieved groundbreaking results in many fields, including continuous group theory, partial differential equations, differential geometry, and theoretical physics, and played a pioneering role in the formation and development of analysis on manifolds, which is a central subject of mathematics today. …

*Some of the terminology that mentions "Cartan, H." is listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

…フランスの数学者。フランス･アルプスの寒村で出生，父は鍛冶（かじ）屋であった。小学生のころより聡明（そうめい）で，視学官の助力で奨学金を得，高等教育をうけることができた。1891年にエコール･ノルマル･シュペリウールを卒業し，94年には〈単純リー環〉の構造を決定した有名な論文によって学位を得た。モンペリエ，リヨン，ナンシーの各大学教授を経て，1912年にパリ大学教授に就任し，40年まで在任した。彼は神秘的とさえいえる洞察力によって，連続群論，偏微分方程式，微分幾何学，理論物理学などの多方面にわたって画期的な業績をあげ，今日の数学の中心課題である多様体上の解析学の形成と発展に先駆的役割を果たした。…

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