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 1,203 articles.
Class | #Articles |
---|---|
FA | 6 |
GA | 36 |
FFA | 12 |
DGA | 13 |
FFLC | 1 |
Basics
[edit]This section contains 121 articles.
- Mathematics (Level 1)
- Approximation
- Arithmetic (Level 2)
- Constant (mathematics)
- Equation
- Infinity
- Mathematical model
- Mathematical problem
- Mathematical proof
- Number
- Operation (mathematics)
- Positional notation
- Variable (mathematics)
Functions
[edit]This section contains 89 articles.
Functions: General
[edit]This section contains 41 articles.
- Function (mathematics)
- Algebraic function
- Function of a real variable
- Arithmetic function
- Inverse function
- Implicit function
- Function composition
- Graph of a function
- Parametric equation
- Even and odd functions
- Piecewise function
- 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
- 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
- Logarithm (Level 3)
- nth root
- Trigonometric functions (Level 4)
- Hyperbolic functions
- Bessel function
- Floor and ceiling functions
- Gamma function
- 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
- Coordinate system
- Dimension
- Zero-dimensional space
- One-dimensional space
- Congruence (geometry)
- Similarity (geometry)
- Transformation (function)
Two-dimensional space
[edit]This section contains 41 articles.
- Euclidean plane
- Angle
- Polygon
- Conic section
- Cardioid
- Cycloid
- Lemniscate
- Elliptic curve
- Catenary
- Parallel (geometry)
- Perpendicular
- Line–line intersection
Three-dimensional space
[edit]This section contains 24 articles.
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
- Brouwer fixed-point theorem
- General topology
- Topological space
- Compact space
- Manifold
- Open set
- Homology (mathematics)
- Homeomorphism
- Homotopy
- Euler characteristic
- Knot theory
- Orientability
- Poincaré conjecture
- 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
Abstract algebra
[edit]This section contains 42 articles.
- Abstract algebra
- Algebraic structure
- Algebraic topology
- Associative property
- Commutative algebra
- Commutative property (Level 4)
- Distributive property
- Field (mathematics) (Level 4)
- Fundamental theorem of algebra
- Galois theory
- Group (mathematics) (Level 4)
- Homogeneous polynomial
- Homological algebra
- Homomorphism
- Module (mathematics)
- Representation theory
- Ring theory
Other algebra topics
[edit]This section contains 12 articles.
Statistics and probability
[edit]This section contains 100 articles.
Statistics
[edit]This section contains 60 articles.
- Statistics (Level 2)
- Bayesian inference
- Bayesian statistics
- Confidence interval
- Correlation
- Data and information visualization
- Descriptive statistics
- Design of experiments
- Estimator
- Frequentist inference
- Mathematical statistics
- Mean
- Maximum likelihood estimation
- Median
- Meta-analysis
- Mode (statistics)
- Observational study
- Principal component analysis
- Sample mean and covariance
- Standard deviation
- Standard error
- Statistical hypothesis test
- Statistical inference
- Survey methodology
- Time series
- Type I and type II errors
- Analysis of variance
Probability
[edit]This section contains 40 articles.
- Probability
- Probability theory (Level 4)
- Probability space
- Bayes' theorem
- Central limit theorem
- Conditional probability
- Covariance
- Law of large numbers
- Moment (mathematics)
- Probability distribution
- Random variable
- Stochastic process
- Monty Hall problem
- Randomness
Foundations
[edit]This section contains 154 articles.
Mathematical logic
[edit]This section contains 32 articles.
- Mathematical logic
- Propositional calculus
- First-order logic
- Higher-order logic
- Intuitionistic logic
- Type theory
Set theory
[edit]This section contains 40 articles.
- Set theory
- Set (mathematics)
- 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
- New Foundations
- Peano axioms
- Hilbert's axioms
- Tarski's axioms
Computability theory
[edit]This section contains 23 articles.
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
- Combinatorial principles
- Double counting (proof technique)
- Twelvefold way
- Latin square
Graph theory
[edit]This section contains 79 articles.
- Graph theory
- 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
- Limit (mathematics)
- Fundamental theorem of calculus
- Continuous function
- Infinitesimal
- Series expansion
- Linear approximation
Differential calculus
[edit]This section contains 15 articles.
- Differential calculus
- 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
- Antiderivative
- Lebesgue integral
- Numerical integration
- 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
- Vector calculus
- Multiple integral
- Iterated integral
- Partial derivative
- Total derivative
- Directional derivative
- Differential form
- Vector field
- Del
- 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
- 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
- Dynamical system
- Phase space
- Stability theory
- Chaos theory
- Multibody system
- Initial condition
- Conserved quantity
- Dynamic simulation
- Flow (mathematics)
- Lyapunov exponent
- Attractor
Sequences and series
[edit]This section contains 19 articles.
- Sequence
- Series (mathematics)
- 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
- Numerical analysis
- Functional analysis
- Measure (mathematics)
- Calculus of variations
- Asymptotic analysis
- Interpolation
Real analysis
[edit]This section contains 14 articles.
- Real analysis
- Number line
- Extreme value theorem
- Intermediate value theorem
- Mean value theorem
- Squeeze theorem
Complex analysis
[edit]This section contains 22 articles.
- Complex analysis
- Complex plane
- Contour integration
- Euler's formula
- Euler's identity
- Holomorphic function
- Riemann surface
- 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
- Prime number theorem
- 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.