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Equivalence Classes of Cauchy Sequences of Rational Numbers

The purpose of this thesis is to define equivalence classes of Cauchy sequences of rational numbers and the operations of taking a sum and a product and then to show that this system is an uncountable, ordered, complete field. In so doing, a mathematical system is obtained which is isomorphic to the real number system.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc130561
Date01 1900
CreatorsDarnell, Linda Jane
ContributorsCopp, George, Dawson, David Fleming
PublisherNorth Texas State University
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatiii, 32 leaves, Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Darnell, Linda Jane

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