一、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 Principle,
(4)Laurent series,meromorphic functions,
(5)Calculus of residues,
(6)harmonic functions of two real variables,
(7)conformal mappings,



二、指定用書(Text Books)

J Bak and D. J. Newman: Complex Analysis, 3rd edition.


三、參考書籍(References)

1. L. V. Ahlfors: Complex Analysis, .
2. E. M. Stein and R. Shakarchi: Complex Analysis, Princeton University Press.
3. R. E. Greene and S. G. Krantz: Function theory of one complex variable,
John Wiley & Sons, INC.
4. W. Rudin: Real and Complex Analysis, McGraw-Hill Book Company.



四、教學方式(Teaching Method)

Lecture and assignments.

五、教學進度(Syllabus)




六、成績考核(Evaluation)

It will be announced in the first class.



七、可連結之網頁位址