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
| 1 | L. V. Ahlfors: Complex Analysis, |
| 2 | E. M. Stein and R. Shakarchi: Complex Analysis, Princeton University Press. |
| 3. | |
| John Wiley & Sons, INC. | |
| 4. | W. Rudin: Real and Complex Analysis, McGraw-Hill Book Company. |
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. |
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