Euler's contributions to number theory are immense.

欧拉对数论的贡献是巨大的。

But it's a really interesting kind of number theory.

这是数论中一个有趣的问题。

These sorts of relationships between integers are studied in a branch of math called number theory.

有一个数学分支叫做 “数论”，就是在研究整数之间的关系。

His work in number theory provided a robust framework that remains a cornerstone of the field.

他在数论方面的工作提供了一个强大的框架，至今仍是该领域的基石。

Here number theory shows us that Draco's score, which is not a multiple of 5, cannot be achieved.

在这里 “数论” 告诉我们，德拉科的分数不是 5 的倍数，因此是无法成立的。

His contributions to number theory, statistics, and algebra, among other areas, earned him the distinguished moniker, " The Prince of Mathematics" .

他对数论、统计学和代数等领域的贡献为他赢得了“数学王子”的尊贵称号。

So if you want to explore these ideas further, I'd highly recommend their courses on number theory and computer science fundamentals.

因此， 如果您想进一步探索这些想法，我强烈推荐他们的数论和计算机科学基础课程。

Number Theory Gauss's love affair with number theory commenced with his magnum opus, " Disquisitiones Arithmeticae" , published in 1801. In this seminal work, he established a systematic foundation for number theory and introduced important concepts such as congruence of numbers.

数论 高斯对数论的热爱始于他 1801 年出版的巨著《算术研究》。在这部开创性的著作中，他为数论奠定了系统的基础，并引入了数同余等重要概念。

This chapter explores Euler's vast mathematical journey, shedding light on his transformative work in number theory, analysis, geometry, and graph theory, and revealing how his genius not only shaped his contemporaries' understanding but continues to inspire mathematicians today.

本章探讨了欧拉广阔的数学旅程，阐明了他在数论、分析、几何和图论方面的变革性工作，并揭示了他的天才如何不仅塑造了同时代人的理解，而且继续激励着当今的数学家。