By following the internal logic of mathematics, a mathematician discovers timeless truths independent of human observation and free of the transient nature of physical reality.

追随数学内在逻辑的脚步，数学家可以超越人类观察的局限，脱离客观存在的暂态，而发现永恒的真理。

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Her father was an old unmarried professor of mathematics, a brutal man and a braggart, who went out to give lessons in spite of his age.

她的父亲是个性情粗暴、爱吹牛的老数学教师，从没正式结过婚，虽然上了年纪，却还靠替人补课度日。

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In mathematics, a function maps each input to a specific output.

在数学中，函数把每个输入映射到一个特定的输出。

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She said,"Am I losing it?" Emma Cleveland was teaching a class in mathematics at a college.

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So, what we're dealing here with is a situation where the ancient Greeks were very much into mathematics as a way of explaining the world and explaining music in particular And they thought these ratios were primary.

那么,我们现在要潜心琢磨,古希腊人热衷于,用数学来解释世界,尤其是音乐的这种情形,他们认为这些比例才是基础

耶鲁公开课 - 聆听音乐课程节选

One solution for that is to get a copy of a textbook I wrote called Basic Training in Mathematics.

解决办法之一,就是买一本我编写的教材,书名叫《数学基础训练》

耶鲁公开课 - 基础物理课程节选

As with a talent for mathematics, a gift for music soon becomes apparent.

ECONOMIST: George Lloyd

Formal proof is a notion developed in the early part of the 20th century by logicians such as Bertrand Russell and Gottlob Frege, along with mathematicians such as David Hilbert (who can fairly be described as the father of modern mathematics) and Nicolas Bourbaki, the pseudonym of a group of French mathematicians who sought to place all of mathematics on a rigorous footing.

ECONOMIST: Just what does it mean to prove something?

Bezos is a mathematics whiz and a graduate of Princeton.

FORBES: The Death and Life of Buy.com