| Center |
| Faculty of Mathematics |
| Departament |
| Mathematical Analysis |
| Lecturers in charge |
| F8110 - PABLO GALINDO PASTOR |
| Met. Docent |
| Theoretical lectures and sessions on exercises |
| Met. Avaluació |
| Final examination and homework. |
| Bibliografia |
| 1. Ash, R. B. Complex Variables. Academic Press, 1971. 2. Conway, J. B. Functions of one complex variable. Springer-Verlag. Segona edició, 1995. 3. Rao, M.; Stetkaer, H. Complex Analysis. An Invitation. World Scientific Publishing, 1991. 4. Wunsch, A. D. Complex analysis with application. Add. Wesley. Second edition, 1997. 5. Marsden, J. E.; Hofman, M. J. Basic Complex Analysis. W H. Freeman and Co., 1970. 6. Gamelin, T.W., Complex Analysis. Springer, 2001 7. Rudin, W. Real and Complex Analysis. Editorial McGraw-Hill (Second edition 1978). |
| Continguts |
| Möebius transformations. Schwarz reflexion principle. Spaces of holomorphic functions: Montel Theorem. Conformal mappings: Riemann Theorem. Infinite products: Weierstrass factorization theorem. Gamma and Zeta functions. |
| Objetius |
| To go on in a deeper way in the knowledge of the theory of complex variable functions. To introduce new methods particularly geometrical methods and the theory of infinite products. To build analytic functions with especific properties. Applications to the number theory are given. |
| URL de Fitxa |