一、課程說明(Course Desc<x>ription)
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<br>Basically we shall cover the following topics.
<br>(1)Cauchy-Riemann equation，Cauchy theorem for holomorphic functions,
<br>(2)Cauchy integral formula, 
<br>(3)Maximum modulus principle,
<br>(4)Laurent series,meromorphic functions,
<br>(5)Calculus of residues,
<br>(6)Harmonic functions of two real variables,
<br>(7)Conformal mappings, Riemann mapping theorem,
<br>(8)Linear fractional transformation.
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<br> 二、指定用書(Text Books)
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<br>程守慶:數學:我思故我在，華藝學術出版部，新北市，台灣，2022
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<br> 三、參考書籍(References)
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<br>1. L. V. Ahlfors: Complex Analysis, .
<br>2. E. M. Stein and R. Shakarchi: Complex Analysis, Princeton University Press. 
<br>3. R. E. Greene and S. G. Krantz: Function theory of one complex variable,
<br>   John Wiley & Sons, INC.
<br>4. W. Rudin: Real and Complex Analysis, McGraw-Hill Book Company.
<br>5. R. P. Boas: Invitation to complex Analysis, McGraw-Hill, International 
<br>Editions, 1992
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<br> 四、教學方式(Teaching Method)
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<br>Lecture and assignments.
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<br> 五、教學進度(Syllabus)
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<br> 六、成績考核(Evaluation)
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<br>It will be announced in the first class.
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<br> 七、可連結之網頁位址
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