Axioms of real numbers, and the beginning teaching of the analysis
This paper provides an overview of the definitions of real numbers. We pose the axiomatic definition of correctness question. Provided examples of sets that are consistent with some definitions of real numbers, but not in with us usual set of real numbers. Attention is drawn to the mathematical ana...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2014-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/17693 |
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doaj-5bbfc5d5c96744ec9019dbc5e1af08aa2020-11-25T02:07:42ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2014-12-0155B10.15388/LMR.B.2014.22Axioms of real numbers, and the beginning teaching of the analysisGintaras Puriuškis0Vilniaus universitetas This paper provides an overview of the definitions of real numbers. We pose the axiomatic definition of correctness question. Provided examples of sets that are consistent with some definitions of real numbers, but not in with us usual set of real numbers. Attention is drawn to the mathematical analysis of teaching beginning and claims proof of clearance. https://www.journals.vu.lt/LMR/article/view/17693axioms of real numberscut real numbersproof |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gintaras Puriuškis |
| spellingShingle |
Gintaras Puriuškis Axioms of real numbers, and the beginning teaching of the analysis Lietuvos Matematikos Rinkinys axioms of real numbers cut real numbers proof |
| author_facet |
Gintaras Puriuškis |
| author_sort |
Gintaras Puriuškis |
| title |
Axioms of real numbers, and the beginning teaching of the analysis |
| title_short |
Axioms of real numbers, and the beginning teaching of the analysis |
| title_full |
Axioms of real numbers, and the beginning teaching of the analysis |
| title_fullStr |
Axioms of real numbers, and the beginning teaching of the analysis |
| title_full_unstemmed |
Axioms of real numbers, and the beginning teaching of the analysis |
| title_sort |
axioms of real numbers, and the beginning teaching of the analysis |
| publisher |
Vilnius University Press |
| series |
Lietuvos Matematikos Rinkinys |
| issn |
0132-2818 2335-898X |
| publishDate |
2014-12-01 |
| description |
This paper provides an overview of the definitions of real numbers. We pose the axiomatic definition of correctness question. Provided examples of sets that are consistent with some definitions of real numbers, but not in with us usual set of real numbers. Attention is drawn to the mathematical analysis of teaching beginning and claims proof of clearance.
|
| topic |
axioms of real numbers cut real numbers proof |
| url |
https://www.journals.vu.lt/LMR/article/view/17693 |
| work_keys_str_mv |
AT gintaraspuriuskis axiomsofrealnumbersandthebeginningteachingoftheanalysis |
| _version_ |
1724930175754305536 |