首先要說樓主的中文就文法不通,
做如下修改
高等數(shù)學(xué)是比初等數(shù)學(xué)更高層次的的數(shù)學(xué).一般來說,初等數(shù)學(xué)之外的數(shù)學(xué)都是高等數(shù)學(xué),也有將中學(xué)較深入的代數(shù)、幾何以及簡單的集合論邏輯稱為中等數(shù)學(xué),中等數(shù)學(xué)是小學(xué)和初中的初等數(shù)學(xué)與大學(xué)本科階段的高等數(shù)學(xué)的過渡.通常認為,高等數(shù)學(xué)涉及初等微積分學(xué)、概率論與數(shù)理統(tǒng)計、高等代數(shù)學(xué)、幾何學(xué),以及它們的交叉學(xué)科,主要包括微積分學(xué),在其他方面各類課本略有差異.
翻譯如下：
Higher mathematics is mathematics more high-level than elementary mathematics.Generally speaking,outside of the elementary mathematics are higher mathematics,someone also call medium mathematics deeper algebra,geometry and simple mathematical logic that we learn in middle school.Medium mathematics are the primary school,elementary mathematics of junior middle school and transition of higher mathematics of stage of undergraduate course of the university.Usually think,higher mathematics involves elementary infinitesimal calculus,probability theory and mathematical statistics,higher algebra,geometry,and their cross discipline,mainly include infinitesimal calculus,all kinds of textbooks have some the difference in other respects.
其次,樓主常識錯誤,數(shù)學(xué)分為初等數(shù)學(xué)（就是我們從小學(xué)到高中的數(shù)學(xué)都屬于初等數(shù)學(xué)）、近代數(shù)學(xué)（微積分學(xué)、概率論與數(shù)理統(tǒng)計、高等代數(shù)學(xué)、解析幾何等,一般為大學(xué)數(shù)學(xué)系本科開設(shè)的課程）、現(xiàn)代數(shù)學(xué)（內(nèi)容和科目非常多,自行查找）,狹義的高等數(shù)學(xué)是大學(xué)本科開設(shè)的一門公共數(shù)學(xué)課的名稱.