This handbook is an invitation to the theory of geometric functions. It was intended, ab initio, for exposing my undergraduate students to the basic ideas in the subject area of my research interest - geometric functions. It is thus irritatingly elementary in its presentation and possibly a drugery for the experts in this field. However, since the target audience is the uninitiated in the field but mathematically minded and equipped with the fundamentals of complex analysis, it has become a fulfilling exercise especially with comments that it has received since put together.