解读“微积分算术”

Interpret Calculus Arithmetic

2011年在科学网博客上出现的微积分算术,把抽象而高深的微积分看作函数的算术,只用几步高中代数,就能避开极限而又不失严格讲解微积分.首先,用等式讲解多项式的微积分;然后用不等式讲解显式初等函数的微积分.但是,某些读者可能会存在疑问:真的能让微积分的门槛降低,而又不失严格?它到底具备什么样的特点?对学生群体的定位如何?需要进一步的解读,这就是本文的目的.

Calculus Arithmetic emerges on the Science Blog in 2011, with only high school algebra, could strictly speak calculus. Calculus, which is so abstract and sophisticated, can be seen as the arithmetic of functions. It talks about calculus of polynomial by using equalities firstly, and then the calculus of explicit elementary functions with inequalities. But there may be some confusions about calculus arithmetic for the first reader. For example, Is it enough simple but rigorous that can lowered the threshold of calculus for the common？ What＇s its character？ so it needs further interpretation.