图 书 馆
数学家的历史和哲学思考对数学进步的重要性On how mathematicians’ historical and philosophical reflections have been essential to the advancement of mathematics: A historical perspective |
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| 课程网址: | https://videolectures.net/8ecm2021_chemla_how_historical/ |
| 主讲教师: | Karine Chemla |
| 开课单位: | 8ECM会议 |
| 开课时间: | 2021-07-06 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | The presentation will focus on an episode in which the historical and philosophical work carried out by mathematicians played a decisive role in overcoming a mathematical difficulty and introducing an idea that had a major impact on future developments in mathematics. The episode in question is the introduction in 1845 by Ernst Eduard Kummer (1810-1893) of the ”ideal factors” of what he called the ”complex numbers”. The first public presentation of this concept by Kummer in 1846 allows us to trace the impact on this breakthrough of the historical and philosophical reflections that Jean-Victor Poncelet (1788-1867) and Michel Chasles (1793-1880) developed while giving shape to what would become projective geometry. This episode suggests the benefits that could derive from a more systematic inclusion of historical and philosophical approaches in the practice of mathematics, as an integral part of it. |
| 关 键 词: | 理想因子; 投影几何; 哲学思考 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2024-05-23：liyq |
| 最后编审: | 2024-05-23：liyq |
| 阅读次数: | 30 |