基础数学的英文：
background mathematics

His book is generally an introduction to geometry and to basic arithmetic as well
他的书，概括地讲，是几何学入门，也是基础数学入门。

His book is generally an introduction to geometry, and to basic arithmetic as well.
阅读欧几里得几何学无须先学习数学，他的书，概括地讲，是几何学入门，也是基础数学入门。

melt into the background
逐渐消失|渐渐由浓变淡

The CSS background properties define the background effects of an element.
层叠样式表中的背景属性为元素定义了一个背景效果。

There is a sense of aliveness in the background.
在背景上有一种活力的感觉。

A daemon is a process that runs in the background.
守护进程是在后台作业运行的程序。

There was a lot of background noise.
背景噪音很多。

mathematical manipulation
数学变换

He is a mathematics major.
他是主修数学的学生。

Mathematics is my special area.
数学是我的专业。

He is an expert in mathematical region.
他是数学界的专家。

She has a good head for mathematics.
她有数学天资。