首页数学
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分析入门

Introduction to analysis
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: 2017-12-08
课程语种: 英语
中文简介:
这门免费课程是分析的入门课程,着眼于实数及其性质,特别强调不等式。第1节从修正有理数及其十进制表示开始。然后,引入实数作为无限小数。第2节着眼于处理不等式和寻找不等式解集的规则。第3节介绍证明不等式的各种技术。第4节介绍了最小上界的概念。第5节讨论如何使用最小上界来定义实数集上的算术运算。
课程简介: This free course is an introduction to analysis which looks at real numbers and their properties, with a particular emphasis on inequalities. Section 1 starts by revising rational numbers and their decimal representations. Then, real numbers are introduced as infinite decimals. Section 2 looks at rules for manipulating inequalities and finding the solution set of an inequality. Section 3 looks at various techniques for proving inequalities. Section 4 introduces the concept of a least upper bound. Section 5 looks at how least upper bounds can be used to define arithmetic operations on the set of real numbers.
关 键 词: 实数性质; 不等式; 十进制
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: 5