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18.100A 分析介绍（MIT）18.100A Introduction to Analysis (MIT) |
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| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-100a-introduction-to-an... |
| 主讲教师: | Arthur Mattuck |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 2012-07-15 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication. |
| 关 键 词: | 连续性; 可微性; 黎曼积分; 数列; 数列函数 |
| 课程来源: | 麻省理工学院公开课 |
| 最后编审: | 2020-05-31：王勇彬(课程编辑志愿者) |
| 阅读次数: | 436 |