V2EX number-theory

Number Theory

释义 Definition

数论:数学的一个分支,主要研究整数的性质与规律,例如质数整除同余(模运算)、丢番图方程等。(在更广义用法中,也可指与整数结构相关的理论体系。)

发音 Pronunciation (IPA)

/nmbr θiri/

例句 Examples

Number theory studies whole numbers and their patterns.
数论研究整数及其规律。

Modern cryptography relies on results from number theory, especially properties of prime numbers.
现代密码学依赖数论的成果,尤其是质数的性质。

词源 Etymology

number”源自拉丁语 numerus(数字、数量),“theory”源自希腊语 theōria(观察、思考、理论)。合起来“number theory”字面意思是“关于数字(更准确说是整数)的理论”,后来固定用来指研究整数性质的数学分支。

相关词 Related Words

文学与名著中的出现 Literary Works

  • G. H. Hardy & E. M. Wright:《An Introduction to the Theory of Numbers》(《数论导引》)
  • Tom M. Apostol:《Introduction to Analytic Number Theory》(《解析数论导论》)
  • Carl Friedrich Gauss:《Disquisitiones Arithmeticae》(《算术研究》;经典数论著作)
  • Apostolos Doxiadis:《Uncle Petros and Goldbach’s Conjecture》(《彼得罗斯舅舅与哥德巴赫猜想》;小说中多次提及数论思想)
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