| 英文摘要: |
This article analyzes the numerical solutions of cubic equations based on comprehensive interpretations of "Equations" (1209) by Sharaf al-Dīn al-Tūsī (1135-1213). The results show that the algorithms were constructed from existing methods of extracting roots. The article also compares the algorithms by al-Tūsī and Qin Jiushao. Results indicate that the cores of the two algorithms were the same, though they were significantly different due to differences in the mathematical traditions. The present study is significant in understanding the numerical solutions of the cubic equations by al-Tūsī. It also contributes to investigations of the features and traditions of such mathematical algorithms in China and Arabic countries |
