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中文摘要：
中国传统数学虽未进入微积分的全面发展时代，但在幂级数理论研究上却一枝独秀。清代数学家明安图、董祜诚、项名达等运用具有传统数学特色的方法对三角函数和对数函数等初等函数幂级数展开问题进行了深入研究。其中包含了某些微积分思想，因而推动了中国数学从初等数学向高等数学的过渡。这些数学思想对今日的数学创造仍有着启发意义。
英文摘要：
Though differential calculus did not emerge, the theory of power series had developed in China. The mathematicians in Qing dynasty, Ming An-tu, Dong You-cheng and Xiang Ming-da, used the method of Chinese traditional mathematics to study the series development problem about triangle function, arc function and logarithmic function, in which the thought of differential calculus is contained, so it propel the transition forward about from elementary mathematics to higher mathematics in China. Up to now the thoughts still have far-reaching influence on the modern mathematical creativity.
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