MATH 3093 FOURIER分析 Fourier Analysis

 

Course Code	MATH 3093 MATH3093			科目名稱		Fourier Analysis FOURIER分析
教員	Professor FENG Dejun [官方介紹及學術著作]			學　　分		3學分
課程性質				同科其他選擇
Workload	l   非PAPER類HOMEWORK l   MIDTERM l   FINAL EXAM								好重
									重
									平均
									輕	1
									極輕
評價教學內容	#1  非常好，超級靚Grade course
評價教員教學	#1  試卷環保大使
CUSIS科目資料	Description： This course is an introduction to Fourier series and Fourier transform. Topics include: Orthogonal families of functions, mean-square convergence of Fourier series and completeness, pointwise convergence of Fourier series, Gibbs's phenomenon; Fourier transform and its inversion, Plancherel formula. Further topics will be selected from: The isoperimetric inequality, Poisson summation formula Heisenberg uncertainty principle, and the notion of a wavelet.   Learning Outcome： We introduce the students to the some basic ingredients of Fourier analysis and get a flavor of the modern theoretical mathematics, and enable them to produce rigorous mathematical proofs based on abstract theory on their own. Upon completion of the course, students should be able to - learn the basics of orthogonal families of functions, mean-square convergence of Fourier series and completeness, pointwise convergence of Fourier series;  - learn the basics of Fourier transform and its inversion, Plancherel formula, Poisson summation formula and Heisenberg uncertainty principle, - apply basic results and techniques to solve problems in the theory and other related subjects. - prepare for further studies on related topics in analysis.
其他資料	2025Sem2：學位 40|註冊 33|剩餘 7
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