Template:Number systems

v t e Number systems
Sets of definable numbers	Natural numbers (<math>\mathbb N</math>) Integers (<math>\mathbb Z</math>) Rational numbers (<math>\mathbb Q</math>) Constructible numbers Algebraic numbers (<math>\mathbb A</math>) Closed-form numbers Periods Computable numbers Arithmetical numbers Set-theoretically definable numbers Gaussian integers
Composition algebras	Division algebras: Real numbers (<math>\Reals</math>) Complex numbers (<math>\Complex</math>) Quaternions (<math>\mathbb H</math>) Octonions (<math>\mathbb O</math>)
Split types	Over <math>\Reals</math>: Split-complex numbers Split-quaternions Split-octonions Over <math>\Complex</math>: Bicomplex numbers Biquaternions Bioctonions
Other hypercomplex	Dual numbers Dual quaternions Dual-complex numbers Hyperbolic quaternions Sedenions (<math>\mathbb S</math>) Split-biquaternions Multicomplex numbers Geometric algebra/Clifford algebra Algebra of physical space Spacetime algebra Plane-based geometric algebra
Other types	Cardinal numbers Extended natural numbers Irrational numbers Fuzzy numbers Hyperreal numbers Levi-Civita field Surreal numbers Transcendental numbers Ordinal numbers p-adic numbers (p-adic solenoids) Supernatural numbers Profinite integers Superreal numbers Normal numbers
Classification List