A Converse of a Result about the Floor Function by Hermite

Autor/in	Mortici, Cristinel
Titel	A Converse of a Result about the Floor Function by Hermite
Quelle	In: International Journal of Mathematical Education in Science and Technology, 43 (2012) 1, S.114-118 (5 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2011.573869
Schlagwörter	Numbers; Number Concepts; Geometric Concepts; Mathematics Education; Theories; Algebra; Data Analysis; Mathematical Logic; Validity; Cognitive Mapping; College Mathematics + Suchen Sie Ihr Suchwort? Zahlenraum; Number concept; Zahlbegriff; Elementare Geometrie; Mathematische Bildung; Theory; Theorie; Auswertung; Mathematical logics; Mathematische Logik; Gültigkeit
Abstract	The floor function maps a real number to the largest previous integer. More precisely, floor(x)=[x] is the largest integer not greater than x. The square bracket notation [x] for the floor function was introduced by Gauss in his third proof of quadratic reciprocity in 1808. The floor function is also called the greatest integer or entier (French for "integer") function, and its value at x the integral part or integer part of x. The floor function has many applications in all areas of mathematics, especially in number theory, algebra or analysis and in consequence it was studied by a wide number of authors. The aim of this article is to establish and discuss some properties of the floor function. It demonstrates how mathematical analysis can be used to prove some results about the floor function. (ERIC).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10