課程大綱及進度表

課程大綱及進度表

開課系所

數學系

開課學年

98 學年度

開課學期

1

課程名稱(中文)

富氏分析

課程名稱（英文）

Fourier Analysis

課程碼 分班碼

先修科目或先備能力

高等微積分

和微分方程

學分數

3

開課教師

方永富

e-mail

fang@math.ncku.edu.tw

電話

275-7575 轉 65131

Office Hours

星期二，四：12：10-13：00

課程概述

We study the concepts of Fourier Series and Integrals. Start with Lebesgue integral, we build up the machinery that is needed in the investigation of the topic. Also some knowledge of complex function theory and groups are necessary in order to get a better insight.

教學目標

We expect to grab the basic idea and concept of Fourier Series and

Integrals. Equipped with some important properties of Fourier Analysis, we can enjoy how the topic is related to number theory and quantum mechanics.

授課課程大綱明細

Historical Background Ch1: Fourier Series Ch2: Fourier Integrals

Ch3: Fourier Integrals and Complex Function Theory

Ch4: Fourier Series and Integrals on Groups

參考書目

Fourier Series and Integrals ( Chapter 1 - 4)

by Dym & Mckean

課程要求

Advance Calculus & Differentail Equations

評量方式

Homework: 50%

Presentation: 50%

課程網址

http://math.ncku.edu.tw/~fang

助教資訊

備註