課程目標

This is the course designed to acquaint the graduate students in the applied mathematics department with basic ideas and tools in modern analysis. This comprises the subjects of real analysis and functional analysis, the analysis developed in the 20th century and after. We will treat real analysis mainly in the first semester and functional analysis in the second. Hopefully, we can lay down a solid foundation for further usage in some other theoretical or applied area. After taking the course, the students are expected to have the general idea on the modern ways to attack the analysis problems.

課程章節

課程書目

H. L. Royden, Real analysis, third edition,Macmillan, 1989.
A. Torchinsky, Real variables, Addison-Wesley, 1988.
J. B. Conway, A course in functional analysis, 2nd edition, Springer, 1990.

評分標準

本課程行事曆提供課程進度與考試資訊參考。