Integer Number

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References

2009a

• (Wordnet, 2009) ⇒ wordnet.princeton.edu/perl/webwn
• any of the natural numbers (positive or negative) or zero; "an integer is a number that is not a fraction"

2009b

• (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Integer
• The integers are natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}. For example, 65, 7, and −756 are integers; 1.6 and 1½ are not integers. In other terms, integers are the numbers one can count with items such as apples or fingers, and their negatives, as well as 0.
• More formally, the integers are the only integral domain whose positive elements are well-ordered, and in which order is preserved by addition. [citation needed] Like the natural numbers, the integers form a countably infinite set. The set of all integers is often denoted by a boldface Z (or blackboard bold \mathbb{Z}, Unicode U+2124 ℤ), which stands for Zahlen (German for numbers, pronounced /ˈtsaːlən/ "tsAH-len"). [2]
• In algebraic number theory, these commonly understood integers, embedded in the field of rational numbers, are referred to as rational integers to distinguish them from the more broadly defined algebraic integers.
• http://en.wiktionary.org/wiki/Integer
• An element of the infinite and numerable set [...,-3,-2,-1,0,1,2,3,...]
• http://en.wiktionary.org/wiki/integers
• integers - (plural only; not used in singular form) The smallest ring containing the natural numbers; the set {... -3, -2, -1, 0, 1, 2, 3 ...}

2000

1. Note: Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch"). “Entire" derives from the same origin via the French word entier, which means both entire and integer
2. Weisstein, Eric W. "Counting Number". MathWorld.
3. Weisstein, Eric W. "Whole Number". MathWorld.
4. Peter Jephson Cameron (1998). Introduction to Algebra. Oxford University Press. p. 4. ISBN 978-0-19-850195-4.
5. Bell, E. T. Men of Mathematics. New York: Simon and Schuster, 1986.