Mathematix - Integers

Integers

In order to develop mathematical ideas beyond very elementary arithmetic, it is necessary to extend the concept of natural numbers. Mathematicians refer to the positive, negative number together with zero (0) as integers. An integer then is any number of the form, ..., -4, -3, -2, -1 , 0, 1, 2, 3, 4, ... .

Notation :

(i) = the set of integers

(ii) = {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}

(iii) = positive integers

= {1, 2, 3, ...}

=

(iv) = negative integers

= {..., -3, -2, -1}

(v) = � � {0}

(vi) � i.e. is a subset of or

is contained in

�

(i)	= the set of integers
(ii)	= {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}
(iii)	= positive integers
	= {1, 2, 3, ...}
	=
(iv)	= negative integers
	= {..., -3, -2, -1}
(v)	= � � {0}
(vi)	�	i.e.	is a subset of or
			is contained in
	�