Existing relations among significant results of the mathematical analysis based upon axioms of complete ordered body of real numbers

Authors

  • Evelin Maria Abreu Teixeira Departamento de Matemática, Centro de Ciências Naturais e Exatas - CCNE Universidade Federal de Santa Maria - UFSM, Santa Maria, RS.

DOI:

https://doi.org/10.5902/2179460X24854

Abstract

This article treats about the existing relations among supremum, infimum, monotone and bounded sequence, convergent sequence, boxing intervals, Arquimede's theorem, cover by open, finity cover, accumulation points, Cauchy sequence and cut, significant results of the Mathematical Analysis, these results are based upon axioms of complete ordered body of real numbers.

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Author Biography

Evelin Maria Abreu Teixeira, Departamento de Matemática, Centro de Ciências Naturais e Exatas - CCNE Universidade Federal de Santa Maria - UFSM, Santa Maria, RS.

References

APOSTOL, T.M. Análisis Matematico. Barcelona. Editorial Reverte, S.A. 1976.

FULKS, Watson. Advanced Calculus an Introduction to Analysis. New York. John Wiley & Sons, Inc. 1967.

RUDIN, Walter. Princípios de Análise Matemática. Rio de Janeiro. Ao Livro Técnico S.A. 1971.

WHITE, A.J. Análise Real uma Introdução, São Paulo. Editora Edgard Blücher Ltda. 1973.

Published

1980-12-09

How to Cite

Teixeira, E. M. A. (1980). Existing relations among significant results of the mathematical analysis based upon axioms of complete ordered body of real numbers. Ciência E Natura, 2(2), 01–10. https://doi.org/10.5902/2179460X24854