Abstract

This chapter provides an overview of sets. Mathematical investigations are based on the notion of a set. In mathematics it is useful to consider an empty set or void set that contains no element. For example, instead of saying there exists no even divisor of 15; one can say that the set of even divisors of the number 15 is empty. The chapter presents four operations on functions: addition, subtraction, multiplication, and division. The chapter discusses positive integers and the mathematical induction. It also presents a theorem which states that in every nonempty set X made up of positive integers there exists the least number.

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