Introduction to Analysis Ⅰ Course

About the course

This course is part of the Analysis course and is a reference course for the entrance examination of the Graduate School of Mathematical Informatics at the University of Tokyo .

This course is a general introduction to Mathematical Analysis I, with selected materials that are profound and advanced, covering topics such as Real Analysis, Measure Theory, and Topology.

Course and Book

The following are the main course and book used in this course.

Books：

Real Analysis (Halsey L. RoydenPatrick M. Fitzpatrick)

数学分析中的典型问题与方法 第3版 (裴礼文)

数学分析讲义（第一册）陈天权

Course:

数学分析：一元微积分

References

W. Rudin: Principles of Mathematical Analysis

数学分析之课程讲义（清华丘班）

Amann.Analysis Ⅰ

Amann.Analysis Ⅱ

杉浦光夫.解析入門 Ⅰ

杉浦光夫.解析入門 Ⅱ

新しい微積分〈上〉

新しい微積分〈下〉