The essence of mathematics lies in its freedom.

数学的本质在于它的自由。

The best way to learn mathematics is to do mathematics.

学习数学的最好方法就是做数学。

Mathematics is the art of giving the same name to different things.

数学是为不同事物赋予相同名称的艺术。

The progress of mathematics is measured by the number of problems it can solve.

数学的进步是通过它能解决的问题数量来衡量的。

A good mathematician is one who can see analogies between theorems; a great mathematician is one who can see analogies between analogies.

一个好的数学家是能看到定理之间类比的人；一个伟大的数学家是能看到类比之间的类比的人。

The most important thing in mathematics is to understand the concepts, not just to memorize formulas.

数学中最重要的是理解概念，而不仅仅是记忆公式。

Mathematics is not a spectator sport.

数学不是一项观赏性运动。

The purpose of computing is insight, not numbers.

计算的目的是洞察力，而不是数字。

The computer is unimportant. It can only give you answers.

计算机并不重要，它只能给你答案。

The beauty of mathematics only shows itself to more patient followers.

数学之美只会向更有耐心的追随者展现。