Introduction to analysis

Abstract

Axioms for the real number system. We begin by assuming the existence of a set R called the set of real numbers with certain properties. We will see that everything is based on these. The real numbers form a complete ordered field. This means that the set R satisfies the following axioms: The field axioms. R is a field; that is, it has two binary operations (x,y) 7→ x+y and (x,y) 7→ xy called addition and multiplication and two distinguished members 0 and 1, such that:….. Tomado del texto original Fecha de reseña: 25/06/2016