The language of mathematics is universal; it transcends all cultural barriers.
数学语言是通用的；它超越了所有文化障碍。
A good mathematician should be both rigorous and imaginative.
优秀的数学家应该既严谨又富有想象力。
The beauty of mathematics lies in its simplicity and depth.
I have always preferred working on concrete problems rather than abstract theories.
我一直更喜欢研究具体问题而非抽象理论。
The most important thing in mathematics is to ask the right questions.
Algebraic geometry is the study of zeros of polynomials.
代数几何是研究多项式零点的学科。
Theorems are eternal; their proofs are ephemeral.
定理是永恒的；它们的证明是短暂的。
A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between theories and the best mathematician can notice analogies between analogies.
数学家是能在定理间找到类比的人；更好的数学家能在理论间看到类比；而最优秀的数学家能注意到类比之间的类比。
The best way to learn mathematics is to do mathematics.
Mathematics is an art, and as an artist, you have to be honest with yourself.
数学是一门艺术，作为艺术家，你必须对自己诚实。
The essence of mathematics lies in its freedom.