分析赫尔曼·格拉斯曼的作品 - 回顾和重新评估
1Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany.
Annals of science
|May 5, 2024
概括
这篇论文通过解决历史学挑战,重新评估了赫尔曼·冈瑟·格拉斯曼 (1809-1877) 的数学贡献. 它纠正了源自1911年传记的误解,对他创新的延伸理论进行了新的评估.
科学领域:
- 数学的历史数学的历史.
- 数学历史学 历史学 数学历史学
背景情况:
- 赫尔曼·瑟·格拉斯曼 (1809-1877) 的作品继续引起学术兴趣.
- 弗里德里希·恩格尔 (Friedrich Engel) 在1911年撰写的格拉斯曼 (Graßmann) 的传记中包含了方法上的缺陷和对来源的误解.
- 这些不准确性误导了随后关于格拉斯曼影响和方法的学术研究.
研究的目的:
- 批判性地分析恩格尔1911年传记中的方法论缺陷.
- 重新评估和纠正对格拉斯曼作品的误解,特别是所谓的影响.
- 为格拉斯曼的创新延伸理论提供一个新的,具有历史背景的评估.
主要方法:
- 格拉斯曼的创新元素的历史背景.
- 从格拉斯曼的学生时期 (体育馆和柏林大学) 的主要来源分析.
- 批判性检查弗里德里希·恩格尔的1911年传记及其解释.
主要成果:
- 在恩格尔的传记中发现并详细说明了方法上的缺陷.
- 纠正了有关影响格拉斯曼数学发展的具体误解.
- 介绍了新的初级来源材料,为格拉斯曼早期的学术生涯提供了新的见解.
结论:
- 介绍了对赫尔曼·冈瑟·格拉斯曼的智力发展和贡献的修订理解.
- 这项研究提供了更准确的历史记录,挑战了以前的学术共识.
- 这项工作为未来研究格拉斯曼的数学及其历史接收提供了基础.
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