Master's Theses

Off-campus FHSU users: Please use the following link to log into our proxy server and download this work.

Date of Award

Summer 1964

Degree Name

Master of Arts (MA)

Department

Math

Advisor

Wilmont Toalson

Abstract

The purpose of this paper is to present a logical development of the real number system from a few basic assumptions in a form that an undergraduate can use. The development is based on properties of sets and begins with cardinal and ordinal numbers. It then proceeds through the natural numbers, denumerable sets, rational numbers, and real numbers. The rational numbers are developed in three steps: (1) non-negative fractions, (2) non-negative rational numbers, and (3) the full set of rational numbers. The distinction between these three divisions of the rational numbers is explained fully. Chapter X concludes the study with a discussion of the “axiom of choice” and entity closely related to this study.

Rights

Copyright 1964 Elton E. Beougher

Comments

Notice: This material may be protected by copyright law (Title 17 U.S. Code).

Share

COinS