Thursday, 11 October 2018

real analysis - Completion of rational numbers via Cauchy sequences



Can anyone recommend a good self-contained reference for completion of rationals to get reals using Cauchy sequences?


Answer



Here is a link that came up in a Google search. You can also search for "construction of real numbers". Since this is standard material, you can find it in many books on analysis.




http://www.math.ucsd.edu/~tkemp/140A/Construction.of.R.pdf


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