Study of the Theory of Power Series Expansion in Chinese Traditional Mathematics

XU Chuan-sheng · Journal of Xidian University · 2006

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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