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 2
課程名稱(中文) 富氏分析(二)
課程名稱（英文） Fourier Analysis (II) 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: Tue Wed Fri: 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
Ch3: Fourier Integrals and Complex Function Theory Ch4: Fourier Series and Integrals on Groups
參考書目 1. Fourier Series and Integrals ( Chapter 3 - 4) by Dym & Mckean
2. Fourier Analysis in Classical Analysis by Christopher Sogge (1st edition) 3. Geometric Wave Equations –by J. Shatah and M. Struwe
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
