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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc130561 |
| Date | 01 1900 |
| Creators | Darnell, Linda Jane |
| Contributors | Copp, George, Dawson, David Fleming |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 32 leaves, Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Darnell, Linda Jane |
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