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| The term '''whole number''' is used differently by different authors. It may mean: | |||
| {{Mergeto|Natural number|date=October 2006}} | |||
| ⚫ | *], including 0. | ||
| The whole numbers are the ] ]s (0, 1, 2, 3, ...) | |||
| *], not including 0, though this usage seems to be rare | |||
| <p>The ] of all whole numbers is represented by the symbol <math>\mathbb{W}</math> = {0, 1, 2, 3, ...} | |||
| *] | |||
| <p>], the elements of <math>\mathbb{W}</math> form a ] under addition (with ] zero), and under multiplication (with identity element one). | |||
| {{disambig}} | |||
| ==Aside== | |||
| Unfortunately, this term is used by various authors to mean: | |||
| *the ] ]s (1, 2, 3, ...) | |||
| *all ]s (..., -3, -2, -1, 0, 1, 2, 3, ...) | |||
| To remove ambiguity from mathematical terminology, those uses are now discouraged. | |||
| ==See also== | |||
| ⚫ | * |
||
| ==References== | |||
| Whole number as nonnegative integer: | |||
| *Bourbaki, N. ''Elements of Mathematics: Theory of Sets'']. Paris, France: Hermann, 1968. ISBN 3-540-22525-0. | |||
| *Halmos, P. R. ''Naive Set Theory''. New York: Springer-Verlag, 1974. ISBN 0-387-90092-6. | |||
| *Wu, H. ''Chapter 1: Whole Numbers.'' University of California at Berkeley, 2002. | |||
| *The Math Forum, in explaining real numbers, describes "whole number" as . | |||
| *Simmons, B. MathWords presents the whole numbers as in an ] of common numeric ]. | |||
| *Ballew, P. Origins of the term , retrieved October 26, 2006. | |||
| Whole number as positive integer: | |||
| * {{MathWorld | urlname=WholeNumber | title=Whole Number}} (Weisstein's primary definition is as positive integer. However, he acknowledges other definitions of "whole number," and is the source of the reference to Bourbaki and Halmos above.) | |||
| Whole number as integer: | |||
| *Beardon, Alan F., Professor in Complex Analysis at the University of Cambridge: | |||
| *The ''American Heritage Dictionary of the English Language'', 4th edition. ISBN 0-395-82517-2. Includes all three possibilities as definitions of "whole number." | |||
Revision as of 06:21, 9 November 2006
The term whole number is used differently by different authors. It may mean:
- Natural number, including 0.
- Natural number, not including 0, though this usage seems to be rare
- Integer
This disambiguation page lists articles associated with the title Whole number.If an internal link led you here, you may wish to change the link to point directly to the intended article. Category: