实分析Real Analysis |
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课程网址: | https://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ |
主讲教师: | Dr. Casey Rodriguez |
开课单位: | 麻省理工学院 |
开课时间: | 2020-01-01 |
课程语种: | 英语 |
中文简介: | 本课程涵盖数学分析的基础知识:序列和级数的收敛性、连续性、可微性、黎曼积分、序列和函数级数、均匀性以及极限运算的互换。它通过对实数的研究展示了抽象概念的效用,并教授对证明的理解和构建。 |
课程简介: | This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts through a study of real numbers, and teaches an understanding and construction of proofs. |
关 键 词: | 实分析; 基础知识; 极限运算 |
课程来源: | 麻省理工学院公开课 |
数据采集: | 2024-02-06:chenjy |
最后编审: | 2024-02-06:chenjy |
阅读次数: | 13 |