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Dai Shu Shu (Algebra) and Wei Ji Su Yuan (The Roots of Calculus) translated by Hua Hengfang (1833-1902) and John Fryer (1839-1928), mathematical works in the late Qing Dynasty had exerted great impact on the internationalization of Japanese mathematics, and the influence had lasted until the Meiji Restoration period. This paper focuses on the Chinese ions of these works such as a missionary in China, which had exerted great influence on the internationalization of Japanese mathematics during the Meiji Restoration period. Firstly, a synopsis is offered of some maths works introduced into Japan translated by others except Hua Hengfang and their influence on Japanese mathematics. Secondly, the author of Notes to the Method of Algebra and his mathematical researches are introduced, together with an analysis of the Notes and the western mathematics and the literature of the latter spread into Japan during the early period of Meiji Restoration via comparison between the Notes and the Chinese translation. Finally, some accounts are offered of Japanese scholars during the Meiji period who referred to and cited from Chinese translations of mathematical works like the Origin of Calculus in their studies or translations of western ones. [ABSTRACT FROM AUTHOR]

Tetsujutsu Sankei is written by the wasan mathematician Takabe Katahiro, and as a magnum opus of mathematics, it is the most important classic in the history of Wasan. This paper mainly analyses the mathematics thought in Tetsujutsu Sankei from the angle of Chinese-Character Cultural Circle. With its focus on the relation between the traditional Chinese mathematics and the mathematics in Tetsujutsu Sankei. It is helpful to understand the outstanding mathematical work comprehensively and make a fair and objective appraisal. [ABSTRACT FROM AUTHOR]