classification of complex numbers
The set of all complex numbers and many of its subsets may be
partitioned (classified) into two subsets by certain criterion of the numbers.
A. F i r s t c l a s s i f i c a t i o n :
Algebraic numbers contain
algebraic integers ( algebraic numbers)
algebraic fractions (fractional algebraic numbers)
Transcendental numbers contain
real transcendental numbers
imaginary transcendental numbers
B. S e c o n d c l a s s i f i c a t i o n :
Complex numbers contain
imaginary numbers (i.e. non-real complex numbers)
Rational numbers contain
integers (http://planetmath.org/Integer) (the set )
Imaginary numbers contain
pure imaginary numbers (with real part 0)
other imaginary numbers (with real part )
One can also combine the criterions of A and B; thus e.g. the irrational numbers consist of the algebraic irrational numbers and the irrational numbers.
In , any of the sets , and may be partitioneded into positive numbers, negative numbers and 0 (http://planetmath.org/Null).
|Title||classification of complex numbers|
|Date of creation||2013-03-22 16:56:49|
|Last modified on||2013-03-22 16:56:49|
|Last modified by||pahio (2872)|