Abstract:
In this thesis we talk about conformal mappings and some applications. It consists of three chapters, in chapter one we talk about the basic theory of conformal mappings.
In chapter two, some examples of conformal mappings, in particular we discuss the case of fluid flow and airfoil problems.
The last chapter is devoted to applications of conformal mappings includes, Heat Condition, Electrostatics, and Hydrodynamics. The basic idea of such applications is that a conformal mapping can be used to map a given region to a simpler region which the problem can be solved by inspection. By transforming back to the original region, the desired is obtained.