ABSTRACT

This chapter reviews of some of the rudiments of set theory and of a few of the elementary properties of real and complex numbers and functions. Mathematical induction provides a useful and easily applied tool for resolving a wide range of problems. It is precisely for solving problems of this nature that induction can be employed to good effect. In the popularization of mathematics, the Fibonacci numbers have long had a special appeal. The study of these numbers was initiated by an outstanding thirteenth century Italian mathematician, Leonardo de Pisa. Although Fibonacci wrote a number of learned treatises, his present day fame rests primarily on the following problem that appeared in 1202 in his masterwork Liber abaci.