Article ID: CBB000933550

Study on the Integral Problem about the Quadratic Curve by Xia Luanxiang---Besides Discussion on the Early Comprehension to Calculus of Traditional Chinese (2009)

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Gao, Hongcheng (Author)


Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 28
Pages: 24--37


Publication Date: 2009
Edition Details: [Translated title.] In Chinese.
Language: Chinese

Xia Luanxiang was one of the earliest mathematicians who studied calculus in China., This paper discusses Xia's acheivements on the integral problem about quadratic curves, some of which were similar to modern elliptic integral and surpassed the level of Daiwie ji. And the paper holds that Xia gained his scucess through the integral method in Dai wei ji shi and his basic knowledge, Di jia shu. It thinks that the differential method was almost equal to the method of series expanison for the traditional Chinese mathematicians when calculus was just introduced into China in 1860s.

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Citation URI
https://data.isiscb.org/isis/citation/CBB000933550/

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Authors & Contributors
Tazzioli, R.
Archibald, T.
Zou, Dahai
Zhang, Na
Ying, Jia-Ming
Yang, Kun
Concepts
Mathematics
East Asia, civilization and culture
Integral equations
Calculus
Cross-cultural interaction; cultural influence
Transmission of ideas
Time Periods
19th century
18th century
Qing dynasty (China, 1644-1912)
17th century
Ancient
20th century
Places
China
Japan
Italy
France
Belgium
Korea
Institutions
Jesuits (Society of Jesus)
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