교과개요

Complex Analysis (복소해석학, 대학원.  3341.504)  

 Fall Semester,   2008

선수과목: 학부 2학년 수준의 복소함수론 ( Churchill & Brown, Complex Variables and Applications 전반부 정도)

교과서:  Ahlfors, Complex Analysis

참고서:

1) H. Silverman, Complex Variables

2) W. Rudin, Real and Complex Analysis

3) R. Narasimhan & Y. Nieverelt, Complex analysis in one variables, Birkhauser, 2000

4) R. E. Greene & S. G. Krantz,  Function theory of one complex variable, 2nd edition,     Amer. Math. Soc. 2002

강의내용

1) 복습: Convergence of power series,   Trigonometric and logarithmic functions,

        Moebius transformations, zeros and poles, essential singularities, Cauchy's               theorem, Cauchy's estimates, maximum principle, Schwarz lemma, Liouville's            theorem, Morera's theorem, argument principle, Rouche's theorem, residue and           real improper integrals,

2) harmonic functions

3) Mittag-Leffler theorem

4) Infinite product and zeros of entire functions

5) Inhomogenious Cauchy-Riemann equations

6) Riemann's zeta function and the Riemann mapping theorem: brief introduction

평가:  중간고사: 25 %  10/21, 화, 19:00-21:00           시험문제

        학기말고사: 40 %  12/15, 월, 19:00-21:30         시험문제

        숙제, 참여도, 기타  35 %                                   숙제 문제

담당교수: 한 종규  27동 310호,  ckhan@math.snu.ac.kr, office hrs: Friday 9:00-11:30 

조교: 

old exams (midterm exam,       final exam )