Recursive functions

Mathematic Lojic was give the biggest support to spread and to use of Recursive Functions. This thesis has prepared as a introduction to Recursive Functions. Therefore, it consists of some relating topics and relations between Recursive Functions and Mathematic Lojic. This thesis contains five chapters: Some basic definitions concerning with the subject placed in the first chapter. In the second chapter, mathematical definition of Recursive Function and some examples are given. It is a well-known fact that there exist of one-one correspondences between the set of natural numbers and the set of ordered pairs of natural numbers. The third chapter show how to set up such a correspondence by Recursive Functions. In the fourth chapter tell about repeated operations and repeated functions which is based of the subject. Furthermore, in this section mentions a certain subclass of the class of Recursive Functions, the so-called Primitive Recursive Functions. Finally, in this section defined recursiveness of sets and predicates in the Modern Logic.