Mohamed, Seid (PhD)Yemane, Gediyon2018-07-162023-11-042018-07-162023-11-042011-01http://etd.aau.edu.et/handle/123456789/8596This project is a reading material in all Complex Analysis. It deals mainly with the class of Analytic Functions on an open set G. Our purpose is to describe this class of analytic functions is complete metric space with defined metric space. As a consequence we prove the set of all continuous function is complete metric space. Let ℱ be family of analytic function in a region G. We prove that ℱ is a normal family, provided that ℱ is locally bounded. We also briefly discuss applications to the normal families of analytic functionsenThis project is a reading material in all ComplexThesis