تحليل مركب - COMPLEX ANALYSIS
- رمز المقرر:
- MATH 3418
- اسم المقرر:
- تحليل مركب - COMPLEX ANALYSIS
- :المعتمدة الساعات
- 3
- المتطلبات السابقة:
- تحليل حقيقي 2 ( ريض 3418 ) - Real Analysis II ( MATH 3418 )
عن المقرر
Complex numbers, complex valued functions, limit of complex valued functions, continuity, derivatives, Cauchy-Riemann equations, sufficient conditions for differentiability. Analytic functions, contours, contour integrals, antiderivatives, Cauchy-Goursat theorem, Cauchy integral formula, Liouville's theorem, convergence of complex sequences and series, Taylor's and Laurent's series, Residues and poles..
الكتب المقررة:
Main Textbook: Complex Variables and Applications, by R.V. Churchill and J.W. Brown, McGraw-Hill 2003. Subsidiary Books: Basic Complex Analysis, J. E. Marsden and M. J. Hoffman, 2nd edition, W. H. Freeman and Company, New York, 1987. Invitation to Complex Analysis, R .P. Boas and H. P. Boas, 2nd revised edition, Mathematical Association of America 2010.
