增乘开方算法的由来

增乘开方算法是一种类似霍纳法的一种算法,它是最能体现中国传统算学机械化特征的范例之一。贾宪三角形中所记录的数字,就是最早的二项式定理中的系数,它在解决时很有效。因此,考察该算法的形成过程,可以使我们了解中国传统算学的特征、理解中国先哲的智慧。数学算法机械化也是当今数学的一个重要特征,而且增乘开方法的运算过程,迄今仍见于高等代数教材。

The Origin of the Splendiferous Extraction of Zengcheng

The extraction of Zengcheng,which is a kind of extraction method like Honer's method,is the result of conclusion and deduction from the extraction.JIA Xian's Triangle,the earliest in the world,records the coefficients of binomial,with which JIA Xian can solve the problem as though he did not realize the relationship of quantity between two lines one after another.JIA Xian,in fact,created the extraction of Zengcheng,in which the Zengcheng method is the soul.