課程大綱及進度表
開課系所
應數所開課學年
100開課學期
1課程名稱(中文)
泛函分析課程名稱(英文)
Functional Analysis課程碼
L162600分班碼
先修科目或先備 能力
高等微積分,實變函數論
學分數
3開課教師
林育竹電話
06-2757575 轉 65100Office Hours
By Appointment課程概述
介紹 Banach space, the dual space, Hilbert space, weak topologies, bounded linear operators,以及 Hahn-Banach theorem, Banach-Steinhaus theorem, Baire catagory theorem, the open mapping theorem, the closed graph theorem, the Riesz representation formula, theLax-Milgram theorem 等重要定理及其應用.
教學目標
本課程之目的在介紹泛函分析之基礎知識以及應用.
授課課程大綱明 細
1.Normed Spaces and Bounded Linear Operators 2.Ch1~Ch5 in the textbook
參考書目 Textbook Textbook Textbook Textbook
H
aim Brezis,Functional Analysis, Sobolev Spaces and Partial Differential Equations (2010)References
References References
References
1.G.B. Folland,Real Analysis 2.W. Rudin,Functional Analysis
3. I.Gohberg & S.Goldberg, Basic Operator Theory
課程要求
評量方式
Attendance and participation:50%Assignment: 30%
Final exam: 20%