Section outline

  • The theory of sets is very general, important sets, which we meet in elementary mathematics, are sets of numbers. Of particular importance, especially in analysis, is the set of real numbers, which we denote by R

    In fact, we assume in this unit, unless otherwise stated, that the set of real numbers R is out universal set. We first review some elementary properties of real numbers before applying our elementary principles of set theory to sets of numbers. The set of real numbers and its properties is called the real number system.