Soeparna Darmawijaya(1*)

(1) UGM
(*) Corresponding Author


In this paper we represent a result of our study in field of analysis , that is, an abstraction of the system of real numbers. We start by defining a set of positive elements in a countable infinite (denumerable) field and, hence, we obtain a linearly ordered field which we call a field of rational elements or a rational field. After that we may introduce irrationals elements in our rational field. And, at last we have a system of real abstract numbers.


abstraction of the system of real numbers; linearly ordered field; set of positive elements; a countable infinite; rational field; real abstract numbers

Full Text:



Drozd, Y,A. and Kirichenko, V.V., Finite Dimensional Algebra, Springer-Verlag: Berlin,Heidelberg, New York, London, Paris, Tokyo, Hongkong Barcelona, Budapest, 1993. Ganapathy Iyer, Mathematical Analysis, Tata Mc Graw-Hill Company Lmt.: New Delhi,1977. Landau and Edmund, Fundation Of Analysis, Chelcea Publishing Company: New York,1929. Soeparna Darmawijaya, Teori Bilangan, FMIPA-UGM: Yogyakarta-Indonesia, 2002. Sxena, S.C. and Shah, S.M., Introduction To Real Variable Theory, Prentice-Hall Limited:New Delhi, 1980. Sze Tsen Hu, Element Of Real Analysis, Holding-Day Inc.: San Francisco, Cambridge, London, Amsterdam, 1967.

DOI: https://doi.org/10.22146/jmt.40707

Article Metrics

Abstract views : 307 | views : 213


  • There are currently no refbacks.

Jumlah Kunjungan: View My Stats