| 中文题目: | （英文）让·巴蒂斯特·约瑟夫·德朗布尔如何根据19世纪之交的“复数”算术阅读古希腊算术 | ||||||
| 英文题目: | How Jean-Baptiste Delambre read ancient Greek arithmetic on the basis of the arithmetic of “complex numbers” at the turn of the 19th century | ||||||
| 作 者: | 王晓斐 | ||||||
| 刊物名称: | Historia Mathematica | ||||||
| 发表年度: | 2022-05-15 | ||||||
| 卷: | 59 | ||||||
| 期: | |||||||
| 页码: | 146-163 | ||||||
| 中文摘要: | At the turn of the 19th century, arithmetic underwent a reform. Lagrange and Delambre developed diverse reflections on this discipline and contributed to the revival of the study of the ancient Greeks’ mathematics. Through analyzing Lagrange’s lectures on arithmetic and the popular arithmetic treatises, I reestablish how Lagrange’s innovative ideas were adopted in the later books. Moreover, this paper clarifies the role that “complex numbers” played in these treatises and investigates Delambre’s memoir on the ancient Greek arithmetic, so as to reveal the way in which Delambre read the ancients’ texts and reconstructed their arithmetic using “complex numbers”. | ||||||
| 英文摘要: | At the turn of the 19th century, arithmetic underwent a reform. Lagrange and Delambre developed diverse reflections on this discipline and contributed to the revival of the study of the ancient Greeks’ mathematics. Through analyzing Lagrange’s lectures on arithmetic and the popular arithmetic treatises, I reestablish how Lagrange’s innovative ideas were adopted in the later books. Moreover, this paper clarifies the role that “complex numbers” played in these treatises and investigates Delambre’s memoir on the ancient Greek arithmetic, so as to reveal the way in which Delambre read the ancients’ texts and reconstructed their arithmetic using “complex numbers”. | ||||||
