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課程大綱及進度表

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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

e-mail

z10008049@email.ncku.edu.tw

電話

06-2757575 轉 65100

Office 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, the

Lax-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

(2)

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%

課程網址

助教資訊

備註

參考文獻

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