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18.014微积分与理论I18.014 Calculus with Theory I |
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| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theor... |
| 主讲教师: | James Munkres ; Anna Lachowska |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 信息不详。欢迎您在右侧留言补充。 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | 18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus. Topics: Axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary functions. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor, Natasha Bershadsky, and Alex Retakh for their help with this course web site. |
| 关 键 词: | 黎曼积分; 极限; 连续函数; 泰勒定理; 无穷级数 |
| 课程来源: | 麻省理工学院公开课 |
| 最后编审: | 2018-06-23：cmh |
| 阅读次数: | 68 |