Mathematics is the science of patterns, and nature exploits every possible pattern.

数学是模式的科学，而自然利用了每一种可能的模式。

The study of mathematics is the indispensable basis for all intellectual and spiritual progress.

数学研究是所有智力和精神进步不可或缺的基础。

Mathematics is the language with which God has written the universe.

数学是上帝用来书写宇宙的语言。

The only way to learn mathematics is to do mathematics.

学习数学的唯一方法就是做数学。

Mathematics is the music of reason.

数学是理性的音乐。

A mathematician is a device for turning coffee into theorems.

数学家是将咖啡转化为定理的装置。

The essence of mathematics lies in its freedom.

数学的本质在于它的自由。

In mathematics, the art of proposing a question must be held of higher value than solving it.

在数学中，提出问题的艺术必须比解决问题更有价值。

The beauty of mathematics lies in its ability to simplify complex problems.

数学的美在于它简化复杂问题的能力。

Mathematics is not just about numbers, equations, computations, or algorithms: it is about understanding.

数学不仅仅是关于数字、方程、计算或算法：它是关于理解的。