Template:Numbers

Number systems in mathematics .
Elementary
$\mathbb{N}$ Naturals {0,1,2,3..} $\mathbb{P}$ Primes ⊂ $\mathbb{N}$ , $\mathbb{P}$ = $\mathbb{N}$ x:{1,x} $\mathbb{Z}$ Integers {..-1,0,1,..} $\mathbb{Q}$ Rationals { $\mathbb{Z} , 1/2 , 1/3 , 1/4$ etc.} Irrational numbers Constructibles Algebraic $\mathbb{Tr}$ Transcendentals π Pi 3.14159 26535 e "e" (constant) ≈ 2.71828 (≠ $\mathbb{Q}$ ) $\mathbb{R}$ Real numbers { $\mathbb{Z} , \mathbb{Q} , \mathrm{i} , \mathrm{Tr}$ } Computable numbers $\mathbb{R}$ Reals { $i$ Imaginary unit ≈/ $= \sqrt{-1}$ $\mathbb{C}$ Complex { $\mathbb{R} , \mathrm{i}$ }, R^1,1 Split-complex
Complex extensions
Bicomplex Hypercomplex { $\mathbb{R}$ ,i,j,k} Quaternions ~i²=j²=k²=ijk=-1 Octonions Sedenions Superreal Hyperreal Surreal
Complex extensions
Nominal Ordinal {} size, position {n} Cardinal { $\aleph_1, \aleph_2, \aleph_3, \cdots$ } p-adic's Integer sequences Math constants Large numbers ∞ Infinity