The only way to learn mathematics is to do mathematics.

学习数学的唯一方法就是做数学。

To understand the universe, you must understand the language in which it is written, and that language is mathematics.

要理解宇宙，你必须理解它所用的语言，那就是数学。

Mathematics is the music of reason.

数学是理性的音乐。

The study of mathematics is like air or gravity—it is everywhere, and you can't see it, but you know it's there.

数学的研究就像空气或重力——它无处不在，你看不到它，但你知道它在那里。

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

数学不知道种族或地理界限；对于数学来说，文化世界是一个国家。

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 only shows itself to more patient followers.

数学的美只向更有耐心的追随者展示。

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。