Wikipedia:Vital articles/Level/5/Mathematics
Vital articles is a list of subjects for which Wikipedia should have corresponding high-quality articles. It serves as a centralized watchlist to track the status of Wikipedia's most essential articles. This is one of the sub-lists of the fifty thousand article Vital articles/Level 5 and is currently under construction.
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The progress bar is auto-updated via category count, and the symbols and article counts are updated daily by User:cewbot. Please read the FAQ before modifying the article list.
- See also: People: Mathematicians
Quota 1,200 articles.
Total 1,201 articles.
Class | #Articles |
---|---|
5 | |
35 | |
347 | |
530 | |
12 | |
13 | |
1 | |
283 | |
1 |
Basics
[edit]This section contains 121 articles.
Mathematics (Level 1)
Approximation
Arithmetic (Level 2)
Constant (mathematics) (Level 4)
Equation (Level 3)
Infinity (Level 3)
Mathematical model
Mathematical problem
Mathematical proof (Level 3)
Number (Level 2)
Operation (mathematics)
Positional notation (Level 4)
Variable (mathematics) (Level 3)
Functions
[edit]This section contains 89 articles.
Functions: General
[edit]This section contains 41 articles.
Function (mathematics) (Level 3)
Algebraic function
Function of a real variable
Arithmetic function
Inverse function (Level 4)
Implicit function (Level 4)
Function composition (Level 4)
Graph of a function (Level 4)
Parametric equation (Level 4)
Even and odd functions
Piecewise
Bijection, injection and surjection
Domain of a function
Range of a function
Zero of a function
Fixed point (mathematics)
Critical point (mathematics)
Limit of a function (Level 4)
Multivalued function
Partial function
Bounded function
Real-valued function
Analytic function
Elliptic function
Periodic function
Curvature
Map (mathematics)
Specific functions
[edit]This section contains 48 articles.
Elementary function
Rational function
Exponentiation (Level 3)
Logarithm (Level 3)
nth root (Level 3)
Trigonometric functions (Level 4)
Hyperbolic functions (Level 4)
Bessel function
Floor and ceiling functions
Gamma function (Level 4)
Prime-counting function
Weierstrass function
Error function
Step function
Dirac delta function
Kronecker delta
Absolute value
Lambert W function
Exponential integral
Likelihood function
Geometry
[edit]This section contains 171 articles.
Geometry: General
[edit]This section contains 23 articles.
Geometry (Level 2)
Coordinate system (Level 4)
Dimension (Level 4)
Zero-dimensional space
One-dimensional space
Congruence (geometry)
Similarity (geometry)
Transformation (function)
Two-dimensional space
[edit]This section contains 41 articles.
Euclidean plane (Level 4)
Angle (Level 3)
Polygon (Level 3)
Conic section (Level 4)
Cardioid
Cycloid
Lemniscate
Elliptic curve
Catenary
Parallel (geometry)
Perpendicular
Line–line intersection
Three-dimensional space
[edit]This section contains 24 articles.
Three-dimensional space (Level 3)
Solid geometry
Cone
Cylinder
Sphere (Level 4)
Polyhedron (Level 4)
Solid angle
Skew lines
Four-dimensional space
[edit]This section contains 8 articles.
Four-dimensional space
Rotations in 4-dimensional Euclidean space
3-sphere
5-cell
Tesseract
16-cell
24-cell
120-cell
Trigonometry
[edit]This section contains 4 articles.
Topology
[edit]This section contains 21 articles.
Topology (Level 3)
Brouwer fixed-point theorem
General topology (Level 4)
Topological space (Level 4)
Compact space (Level 4)
Manifold (Level 4)
Open set (Level 4)
Homology (mathematics) (Level 4)
Homeomorphism
Homotopy (Level 4)
Euler characteristic (Level 4)
Knot theory (Level 4)
Orientability
Poincaré conjecture (Level 4)
Winding number
Measurement
[edit]This section contains 10 articles.
Euclidean geometry
[edit]This section contains 6 articles.
Non-Euclidean geometry
[edit]This section contains 14 articles.
Other
[edit]This section contains 20 articles.
Algebra
[edit]This section contains 104 articles.
Algebra: General
[edit]This section contains 2 articles.
Elementary algebra
[edit]This section contains 6 articles.
Linear algebra
[edit]This section contains 42 articles.
Linear algebra (Level 3)
Basis (linear algebra)
Linear combination
Linear independence
Linear map
System of linear equations
Matrix (mathematics) (Level 4)
Scalar (mathematics)
Vector (mathematics and physics)
Vector space (Level 4)
Tensor (Level 4)
Abstract algebra
[edit]This section contains 42 articles.
Abstract algebra (Level 4)
Algebraic structure
Algebraic topology (Level 4)
Associative property (Level 4)
Commutative algebra (Level 4)
Commutative property (Level 4)
Distributive property (Level 4)
Field (mathematics) (Level 4)
Fundamental theorem of algebra (Level 4)
Galois theory (Level 4)
Group (mathematics) (Level 4)
Homogeneous polynomial
Homological algebra (Level 4)
Homomorphism
Module (mathematics) (Level 4)
Representation theory (Level 4)
Ring theory (Level 4)
Other algebra topics
[edit]This section contains 12 articles.
Statistics and probability
[edit]This section contains 98 articles.
Statistics
[edit]This section contains 58 articles.
Statistics (Level 2)
Bayesian inference (Level 4)
Bayesian statistics
Confidence interval
Correlation (Level 4)
Data and information visualization (Level 4)
Descriptive statistics
Design of experiments (Level 4)
Estimator
Frequentist inference
Mean (Level 4)
Maximum likelihood estimation
Median (Level 4)
Meta-analysis (Level 4)
Mode (statistics) (Level 4)
Observational study (Level 4)
Principal component analysis
Sample mean and covariance
Standard deviation (Level 4)
Standard error (Level 4)
Statistical hypothesis test (Level 4)
Statistical inference
Survey methodology (Level 4)
Time series
Type I and type II errors
Analysis of variance
Probability
[edit]This section contains 40 articles.
Probability (Level 3)
Probability theory (Level 4)
Probability space
Bayes' theorem (Level 4)
Central limit theorem (Level 4)
Conditional probability
Covariance (Level 4)
Law of large numbers (Level 4)
Moment (mathematics)
Probability distribution (Level 4)
Random variable (Level 4)
Stochastic process (Level 4)
Monty Hall problem
Randomness
Foundations
[edit]This section contains 154 articles.
Mathematical logic
[edit]This section contains 32 articles.
Mathematical logic (Level 4)
Propositional calculus (Level 4)
First-order logic (Level 4)
Higher-order logic
Intuitionistic logic
Type theory
Set theory
[edit]This section contains 40 articles.
Set theory (Level 4)
Set (mathematics) (Level 3)
Tuple
Class (set theory)
Mathematical structure
Cardinality
Ordinal number
Axiomatic systems
[edit]This section contains 19 articles.
Axiomatic system
Zermelo–Fraenkel set theory
Axiom of choice (Level 4)
New Foundations
Peano axioms
Hilbert's axioms
Tarski's axioms
Computability theory
[edit]This section contains 23 articles.
Computability theory (Level 4)
Model of computation
Computable function (Level 4)
Decision problem
Oracle machine
Model theory
[edit]This section contains 12 articles.
Category theory
[edit]This section contains 27 articles.
Discrete mathematics
[edit]This section contains 126 articles.
Combinatorics
[edit]This section contains 23 articles.
Combinatorics (Level 4)
Combinatorial principles
Double counting (proof technique)
Twelvefold way
Latin square
Graph theory
[edit]This section contains 79 articles.
Graph theory (Level 4)
Clique (graph theory)
Connectivity (graph theory)
Flow network
Graph homomorphism
Matching (graph theory)
Edge cover
Path (graph theory)
Planar graph
Snark (graph theory)
Spectral graph theory
Order theory
[edit]This section contains 23 articles.
Calculus and analysis
[edit]This section contains 187 articles.
Basics
[edit]This section contains 10 articles.
Calculus (Level 3)
Limit (mathematics) (Level 3)
Fundamental theorem of calculus (Level 4)
Continuous function (Level 4)
Infinitesimal
Series expansion
Linear approximation
Differential calculus
[edit]This section contains 15 articles.
Differential calculus (Level 4)
Differentiable function
Differential operator
Derivative (Level 4)
Differentiation rules
L'Hôpital's rule
Taylor's theorem
Related rates
Integral calculus
[edit]This section contains 11 articles.
Integral (Level 4)
Antiderivative
Lebesgue integral
Numerical integration (Level 4)
Riemann integral
Constant of integration
Improper integral
Integration by parts
Integration by substitution
Limits of integration
Riemann sum
Multivariable and vector calculus
[edit]This section contains 30 articles.
Multivariable calculus (Level 4)
Vector calculus (Level 4)
Multiple integral (Level 4)
Iterated integral
Partial derivative (Level 4)
Total derivative
Directional derivative
Differential form
Vector field
Del (Level 4)
Poisson's equation
Line integral
Surface integral
Volume integral
Stokes' theorem
Jacobian matrix and determinant
Lagrange multiplier
Helmholtz decomposition
Differential equations
[edit]This section contains 41 articles.
Differential equation (Level 4)
Boundary value problem
Separation of variables
Integrating factor
Numerical methods for ordinary differential equations
Numerical methods for partial differential equations
Dirichlet problem
Elliptic operator
System of differential equations
Dynamical systems
[edit]This section contains 19 articles.
Dynamical systems theory (Level 4)
Dynamical system (Level 4)
Phase space
Stability theory
Chaos theory (Level 4)
Multibody system
Initial condition
Conserved quantity
Dynamic simulation
Flow (mathematics)
Lyapunov exponent
Attractor
Sequences and series
[edit]This section contains 19 articles.
Sequence (Level 4)
Series (mathematics) (Level 3)
Taylor series (Level 4)
Laurent series
Convergent series
Divergent series
Geometric series
Power series
Dirichlet series
Binomial series
Harmonic series (mathematics)
Multipole expansion
Mathematical analysis
[edit]This section contains 61 articles.
Mathematical analysis (Level 3)
Approximation theory (Level 4)
Numerical analysis (Level 4)
Functional analysis (Level 4)
Measure (mathematics)
Calculus of variations (Level 4)
Asymptotic analysis
Interpolation
Real analysis
[edit]This section contains 14 articles.
Real analysis (Level 4)
Number line
Extreme value theorem
Intermediate value theorem
Mean value theorem
Squeeze theorem
Complex analysis
[edit]This section contains 22 articles.
Complex analysis (Level 4)
Complex plane
Contour integration
Euler's formula (Level 4)
Euler's identity (Level 4)
Holomorphic function (Level 4)
Riemann surface (Level 4)
Liouville's theorem (complex analysis)
Cauchy–Riemann equations
Cauchy principal value
Conformal map
Singularity (mathematics)
Picard theorem
Residue (complex analysis)
Branch point
Root of unity
Harmonic analysis
[edit]This section contains 10 articles.
Number theory
[edit]This section contains 53 articles.
Prime numbers
[edit]This section contains 14 articles.
Prime number (Level 3)
Primality test
Coprime integers
Euclid's theorem (Level 4)
Prime number theorem (Level 4)
p-adic number
Sums and products
[edit]This section contains 10 articles.
Modular arithmetic
[edit]This section contains 8 articles.
Chinese remainder theorem
Discrete logarithm
Fermat's little theorem
Quadratic residue
Wilson's theorem
Sequences
[edit]This section contains 8 articles.
Diophantine equations
[edit]This section contains 5 articles.
Subdisciplines
[edit]This section contains 7 articles.
Applied mathematics
[edit]This section contains 43 articles.
Game theory
[edit]This section contains 18 articles.
Information theory
[edit]This section contains 7 articles.
Optimization
[edit]This section contains 14 articles.
Theoretical computer science
[edit]This section contains 55 articles. For topics in applied computer science, see Technology: Computing and information technology
Algorithms
[edit]This section contains 16 articles.
Automata theory
[edit]This section contains 7 articles.
Complexity theory
[edit]This section contains 12 articles.
Data structures and types
[edit]This section contains 15 articles.