250064 VO Advanced complex analysis (2016W)

Lecture notes will be provided. Further reading:

- L. V. Ahlfors, Complex analysis: An introduction of the theory of
analytic functions of one complex variable, Second edition, McGraw-Hill Book
Co., New York-Toronto-London, 1966.

- L. V. Ahlfors and L. Sario, Riemann surfaces, Princeton Mathematical
Series, No. 26, Princeton University Press, Princeton, N.J., 1960.

- H. Cartan, Elementary theory of analytic functions of one or several
complex variables, Dover Publications, Inc., New York, 1995, Translated from
the French, Reprint of the 1973 edition.

- J. B. Conway, Functions of one complex variable, second ed., Graduate
Texts in Mathematics, vol. 11, Springer-Verlag, New York-Berlin, 1978.

- J. B. Conway, Functions of one complex variable. II, Graduate Texts in
Mathematics, vol. 159, Springer-Verlag, New York, 1995.

- H. M. Farkas and I. Kra, Riemann surfaces, Graduate Texts in
Mathematics, vol. 71, Springer-Verlag, New York-Berlin, 1980.

- O. Forster, Lectures on Riemann surfaces, Graduate Texts in
Mathematics, vol. 81, Springer-Verlag, New York, 1991, Translated from the
1977 German original by Bruce Gilligan, Reprint of the 1981 English
translation.

- R. E. Greene and S. G. Krantz, Function theory of one complex variable,
third ed., Graduate Studies in Mathematics, vol. 40, American Mathematical
Society, Providence, RI, 2006.

- L.Hörmander, An introduction to complex analysis in several
variables, third ed., North-Holland Mathematical Library, vol. 7,
North-Holland Publishing Co., Amsterdam, 1990.

- R. Narasimhan and Y. Nievergelt, Complex analysis in one variable, second ed.,
Birkhäuser Boston, Inc., Boston, MA, 2001.

- W. Rudin, Real and complex analysis, third ed., McGraw-Hill Book Co., New York, 1987.

- E. M. Stein and R. Shakarchi, Complex analysis, Princeton Lectures in Analysis, II,
Princeton University Press, Princeton, NJ, 2003.