Number theory

Number Sets

Keywords: number sets, natural numbers, integers, rational numbers, irrational numbers, real numbers, complex numbers, relation between number sets

Natural Numbers

=0,1,2,3,4,5,6···

Integers

=···,-3,-2,-1,0,1,2,3,···

Rational Numbers

=pq|p,q, q0

A rational number is any number that can be expressed as fraction of two integers.

Irrational Numbers

*=···,-3,2,π,e,···

Irrational number is any number that cannot be expressed as a ratio between two integers.

Real Numbers

=*

All Rational and Irrational numbers.

Complex Numbers

=a+ib | a,b, i=-1

Relation Between Number Sets