This course will cover the concept of holomorphic functions, Cauchy's integral formula. Maximum modulus principle for holomorphic functions shall be proved....
課程說明
Course Description
Basically we shall cover the following topics. | |
(1) | Cauchy-Riemann equation,Cauchy theorem for holomorphic functions, |
(2) | Cauchy integral formula, |
(3) | Maximum modulus Principle, |
(4) | Laurent series,meromorphic functions, |
(5) | Calculus of residues, |
(6) | Harmonic functions of two real variables, |
(7) | Conformal mappings, Riemann mapping theorem. |
指定用書
Text Books
♠ |
參考書籍
References
References
教學方式
Teaching Method
Teaching Method
♠ | Lecture and assignments. |
成績考核
Evaluation
Evaluation
♠ | It will be announced in the first class. |