Analysis of information sources in references of the Wikipedia article "Integer" in English language version.
Alle diese Zahlen, so wohl positive als negative, führen den bekannten Nahmen der gantzen Zahlen, welche also entweder größer oder kleiner sind als nichts. Man nennt dieselbe gantze Zahlen, um sie von den gebrochenen, und noch vielerley andern Zahlen, wovon unten gehandelt werden wird, zu unterscheiden.[All these numbers, both positive and negative, are called whole numbers, which are either greater or lesser than nothing. We call them whole numbers, to distinguish them from fractions, and from several other kinds of numbers of which we shall hereafter speak.]
Le symétrisé de N se note Z; ses éléments sont appelés entiers rationnels.[The group of differences of N is denoted by Z; its elements are called the rational integers.]
the set J of all integers
The natural numbers are not themselves a subset of this set-theoretic representation of the integers. Rather, the set of all integers contains a subset consisting of the positive integers and zero which is isomorphic to the set of natural numbers.
An integer is a multiple of unity
Incidentally, Z comes from "Zahl": the notation was created by Hilbert.
Consider the set Z of non-negative integers
Modern Algebra texts generally designate the set of integers by the capital letter Z.
The whole numbers, or integers, when arranged in their natural order, such as 1, 2, 3, are called consecutive integers.
The numbers which so arise are called positive whole numbers, or positive integers.
{{cite book}}: ISBN / Date incompatibility (help)A much more influential force in bringing news of the "new math" to high school teachers and administrators was the National Council of Teachers of Mathematics (NCTM).
A much more influential force in bringing news of the "new math" to high school teachers and administrators was the National Council of Teachers of Mathematics (NCTM).
Nam rupti uel fracti semper ponendi sunt post integra, quamuis prius integra quam rupti pronuntiari debeant.[And the fractions are always put after the whole, thus first the integer is written, and then the fraction]