Gao, Hongcheng (Author)
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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