17世纪日本与18—19世纪欧洲的行列式、消元式与判别式(英文)

Determinants,resultants and discriminants in Japan in the seventeenth century and in Europe in the eighteenth and nineteenth centuries

认为日本数学家在17世纪引入了行列式的概念,为什么和如何使用行列式却并未被人们所深刻地理解,故通过对和算家当时的具体计算的分析,表明他们所使用的方法正是18—19世纪欧洲的数学家创立的对于超过一个未知量的方程组的辅助变量的消元法。

It is by now well known that Japanese mathematicians introduced determinants in the seventeenth century but it is not necessarily understood well why and how they made use of determinants.Their calculations are followed and what they did is showed, which is essentially the same as the elimination method of auxiliary variables from systems of algebraic equations with more than one unknowns as developed in Europe in the eighteenth and nineteenth centuries.