Introduction
Most of my reading (including mathematical literature) is done in English. As a Chinese speaker, I find it quite difficult sometimes to communicate mathematical ideas in Chinese, despite the fact that Chinese is usually a very intuitive language and mathematical terms in Chinese are very straightforward. This page is meant to be an accumulating collection of translated mathematical terms between Chinese and English sorted by topic.^{1} Note that there can be more than one (standard) term for a specific concept in Chinese and English, and I will try to list all terms that I have come across. When it is ambiguous, a brief definition will be provided.^{2}
This is still a work in progress
Analysis
(Symbol) 
English 
中文 

Approaches/Approaching 


Sequence 
数列 

Series 

Calculus
(Symbol) 
English 
中文 

Calculus 
微积分 

Derivative 
导数 

Derivate 
求导 

Limit 
极限 

Integration 
积分 
Functions
(Symbol) 
English 
中文 

Bijection 


Injection 


Surjection 

Set Theory
Common Sets
(Symbol) 
English 
中文 
\(\N\) 
Natural Numbers 
自然数 
\(\Z^\) 
Negative Integers 
负整数 
\(\Z\) 
Integers 
整数 
\(\Z^+\) 
Positive Integers 
正整数 
Algebra
Geometry