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晚清弧三角的稳定与变迁

发表时间:2013-07-15  浏览量:1251  下载量:534
全部作者: 特古斯,董杰
作者单位: 内蒙古师范大学科学技术史研究院
摘 要: 探讨晚清弧三角术的稳定与变迁,说明了中西会通的结果。晚清学者拒绝弧三角数理,维持弧三角旧术,这与中体西用的要求有关。在长达30年的时间内,一般学者都觉得弧三角应当中体西用,有关结果应当作图以明其理。不过,随着数学教育的改革,清末学者开始西体西用。他们逐渐意识到,数学家在逻辑定义的基础上可以自由地引用自己的概念,而经验证据对于三角学并不绝对重要。1907年,三角学的结构发生了变化,弧三角术获得形式基础。
关 键 词: 数学史;晚清三角学;三角数理;弧三角术
Title: Stability and change of spherical trigonometry in late Qingdyhasty
Author: TEGUS, DONG Jie
Organization: Institute for the History of Science, Inner Mongolia Normal University
Abstract: In this paper, the stability and change of spherical trigonometry in late Qingdyhasty were discussed, and the results indicated the communication of the Chinese culture and the Western culture. The late Qingdyhasty scholars refused the algebraic operations and maintained the old methods, which had relationship with the requirement of the traditional system. During 30 years, some scholars held that the spherical trigonometry should be suited to the traditional system, and the fundamentals should be illustrated. However, with the educational reform, the scholars in the end of Qingdyhasty began to accept Western system. Gradually, they realized that mathematicians could cite own concepts freely on the basis of logical definitions, and the empiric evidence was not absolutely important for the trigonometry. In 1907, the structure of trigonometry changed, the spherical trigonometry got a formal basis.
Key words: history of mathematics; trigonometry in late Qingdyhasty; algebraic trigonometry; spherical trigonometry
发表期数: 2013年7月第13期
引用格式: 特古斯,董杰. 晚清弧三角的稳定与变迁[J]. 中国科技论文在线精品论文,2013,6(13):1264-1271.
 
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