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数论概论

Introduction to number theory
课程网址: https://www.open.edu/openlearn/science-maths-technology/introduct...  
主讲教师: 信息不详。欢迎您在右侧留言补充。
开课单位: 信息不详。欢迎您在右侧留言补充。
开课时间: 2017-09-27
课程语种: 英语
中文简介:
这门免费课程《数论导论》是关于整数性质的数学分支。第1节介绍了欧几里得算法(Euclid’s algorithm),该算法用于找到两个整数的HCF,以及同余的概念,当两个整数被另一个整数除以时,用于比较余数的数学陈述。第2节介绍模运算,其中常用的算术运算应用于同余。第3节介绍了乘法逆,它为模运算中的除法提供了一种方法,以及它们在解决密码学中用于伪装信息或密码的线性同余中的应用。
课程简介: This free course, Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s algorithm, which is used to find the HCF of two integers, and the idea of congruences, mathematical statements used to compare remainders when two integers are each divided by another integer. Section 2 introduces modular arithmetic, in which the usual arithmetic operations are applied to congruences. Section 3 introduces multiplicative inverses, which provide a method for division in modular arithmetic, and their use in solving linear congruences which are used in cryptography for disguising information or ciphers. 
关 键 词: 整数性质; 模运算; 乘法逆
课程来源: 英国开放大学
数据采集: 2024-10-26:zsp
最后编审: 2024-10-26:zsp
阅读次数: 63