ABSTRACT

An important part of the study of analytic functions is concerned with their geometrical properties and it is this aspect of the subject that finds wide ranging applications to physical problems whose solutions depend on the Laplace equation. The geometrical properties of analytic functions form a subject called conformal mapping and some of the most important of these mappings by analytic functions will be considered in this chapter. Applications of conformal mapping to heat conduction, electric fields and fluid mechanics will form the subject matter of Chapter 5.