Abstract
In this study, I investigated the representation and algorithms of western mathematics reflected on the algebra domains of Chosun-Sanhak in the 18th century and analyzed the co-occurrences and replacement phenomenon between western algorithms and traditional algorithms. For this purpose, I analyzed nine Chosun mathematics books in the 18th century including Gusuryak and Gosasibijip. The results of this study are as follows. First, I identified the process of changing to calculation by writing of western mathematics from traditional four arithmetical operations using Sandae and the formalized explanation for the proportional concept and proportional expression. Second, I observed the gradual formalization of mathematical representation of the solution for simultaneous linear equation. Lastly, I identified the change of the solution for square root from traditional Gaebangsul and Jeungseunggaebangbeop to calculation by writing of western mathematics.
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