User:Timo Oravainen/sandbox

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Arithmetic: calculation, number, operation, addition (+ plus), subtraction (- minus), multiplication (x cross symbol, factor/multiplicand, factor/multiplier, product) and division (÷ dividend, divisor and quotient).
Algebra: expression, solution, symbol, unknown value and equation.
Geometry: measurement, shape, space, geometric figure, dot, line, angle, polygon, rectangle, oval, parallelogram, trapezoid, rhombus, square, triangle, circle, prism, parallelepiped, cube, sphere, pyramid, cone, cylinder.
Trigonometry
Calculus
Statistics
Number Theory
Linear Algebra
Differential Equations
Topology
Logic
Mathematical Physics
Theory of Computation
Information Theory
Game Theory

Numbers

Natural number or counting number ( $\mathbb {N}$ ) 1, 2, 3...
Whole numbers ( $\mathbb {W}$ ) 0, 1, 2...
Integers ( $\mathbb {Z}$ ) -2, -1, 0, 1, 2...
Rational numbers ( $\mathbb {Q}$ ) 45, 4/5, -3.05...
Irrational numbers ( $\mathbb {P}$ ) - √2, π, e, e^π, ln 2...
Real numbers ( $\mathbb {R}$ ) 45, 4/5, -3.05, - √2, π, e...
Imaginary numbers ( $\mathbb {I}$ ) i = √-1: i, 2i, πi, e^π...
Complex numbers ( $\mathbb {C}$ ) 2D vectors & rotation: 2+3i, 3, 5i, -4/5...
Algebraic numbers ( $\mathbb {A}$ ) 1, 4/5, -3.05, √2, - √2...
Transcendental numbers ( $\mathbb {T}$ ) e, π, e^π, ln 2...
Quaternions ( $\mathbb {H}$ ) 4D vectors & rotation:
Octonions ( $\mathbb {O}$ ) 8D vectors & rotation:
p-adic numbers ( $\mathbb {Q}$ _p)
Constructible number, Computable number, Definable number

v t e Major mathematics areas
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Analysis	Calculus Real analysis Complex analysis Hypercomplex analysis Differential equations Functional analysis Harmonic analysis Measure theory
Discrete	Combinatorics Graph theory Order theory
Geometry	Algebraic Analytic Arithmetic Differential Discrete Euclidean Finite
Number theory	Arithmetic Algebraic number theory Analytic number theory Diophantine geometry
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Applied	Engineering mathematics Mathematical biology Mathematical chemistry Mathematical economics Mathematical finance Mathematical physics Mathematical psychology Mathematical sociology Mathematical statistics Probability Statistics Systems science Control theory Game theory Operations research
Computational	Computer science Theory of computation Computational complexity theory Numerical analysis Optimization Computer algebra
Related topics	Mathematicians lists Informal mathematics Films about mathematicians Recreational mathematics Mathematics and art Mathematics education
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v t e Number systems
Sets of definable numbers	Natural numbers ( $\mathbb {N}$ ) Integers ( $\mathbb {Z}$ ) Rational numbers ( $\mathbb {Q}$ ) Constructible numbers Algebraic numbers ( $\mathbb {A}$ ) Closed-form numbers Periods ( ${\mathcal {P}}$ ) Computable numbers Arithmetical numbers Set-theoretically definable numbers Gaussian integers Gaussian rationals Eisenstein integers
Composition algebras	Division algebras: Real numbers ( $\mathbb {R}$ ) Complex numbers ( $\mathbb {C}$ ) Quaternions ( $\mathbb {H}$ ) Octonions ( $\mathbb {O}$ )
Split types	Over $\mathbb {R}$ : Split-complex numbers Split-quaternions Split-octonions Over $\mathbb {C}$ : Bicomplex numbers Biquaternions Bioctonions
Other hypercomplex	Dual numbers Dual quaternions Dual-complex numbers Hyperbolic quaternions Sedenions ( $\mathbb {S}$ ) Trigintaduonions ( $\mathbb {T}$ ) Split-biquaternions Multicomplex numbers Geometric algebra/Clifford algebra Algebra of physical space Spacetime algebra Plane-based geometric algebra
Infinities and infinitesimals	Cardinal numbers Extended natural numbers Extended real numbers Projective Extended complex numbers Hyperreal numbers Levi-Civita field Ordinal numbers Supernatural numbers Surreal numbers Superreal numbers
Other types	Irrational numbers Fuzzy numbers Transcendental numbers p-adic numbers (p-adic solenoids) Profinite integers Normal numbers
Classification List

Numbers

Symbols