Course
Submitted by jsjagajit on 19 December, 2019 - 15:51
Syllabus:
Review of basic Complex Analysis: Cauchy-Riemann equations, Cauchy's theoremand estimates, power series expansions, maximum modulus principle, Classication ofsingularities and calculus of residues; Normal families, Arzela-Ascoli theorem, Riemann mappingtheorem; Weierstrass factorization theorem, Runges theorem, Mittag-Leers theorem;Hadamard factorization theorem, Analytic Continuation, Gamma and Zeta functions
Reference Books:
- L. V. Ahlfors, Complex Analysis, Tata McGraw-Hill, 2013.
- J. B. Conway, \Functions of one complex variable", Second edition. Graduate Texts in Mathematics, 11. Springer-Verlag, New York-Berlin, 1978.
- R. Narasimhan and Y. Nievergelt, \Complex analysis in one variable", Second edition. Birkhuser Boston,Inc., Boston, MA, 2001.
- W. Rudin, Real and Complex Analysis, Tata McGraw-Hill, 2013.
- Wolfgang Fischer, Ingo Lieb, A Course in Complex Analysis: From Basic Results to Advanced Topics,Springer, 2012
- Eberhard Freitag, Rolf Busam, Complex Analysis, Springer, 2005
- Stein and Shakarchi, Complex Analysis, Princeton University Press, 2003
- Gamelin, Complex Analysis, Springer, 2000
Contact us
School of Mathematical Sciences
NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050
Tel: +91-674-249-4081
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