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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- Former featured articles
- A-class articles
- Good articles
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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 1,195 articles.
Class | #Articles |
---|---|
FA | 5 |
GA | 35 |
B | 354 |
C | 520 |
FFA | 12 |
DGA | 13 |
FFLC | 1 |
Start | 279 |
Stub | 2 |
Basics edit
This section contains 120 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 3)
- Cardioid
- Cycloid
- Lemniscate
- Elliptic curve
- Catenary
- Parallel (geometry)
- Perpendicular
- Line–line intersection
Three-dimensional space edit
This section contains 23 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 9 articles.
- Four-dimensional space
- Rotations in 4-dimensional Euclidean space
- 3-sphere
- 5-cell
- Tesseract
- 16-cell
- 24-cell
- 120-cell
- 600-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 107 articles.
Algebra: General edit
This section contains 2 articles.
Elementary algebra edit
This section contains 5 articles.
Linear algebra edit
This section contains 45 articles.
- Linear algebra (Level 3)
- Basis (linear algebra)
- Linear combination
- Linear independence
- Linear map
- Linear equation (Level 4)
- System of linear equations
- Gaussian elimination (Level 4)
- Jacobi method
- Gauss–Seidel method
- Cramer's rule
- Successive over-relaxation
- LU decomposition
- Matrix (mathematics) (Level 4)
- Operator theory
- Scalar (mathematics)
- Vector (mathematics and physics)
- Vector space (Level 4)
- Tensor (Level 4)
Abstract algebra edit
This section contains 43 articles.
- Abstract algebra (Level 3)
- 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)
- Multiplicative inverse
- Representation theory (Level 4)
- Ring theory (Level 4)
Other algebra topics edit
This section contains 12 articles.
Statistics and probability edit
This section contains 93 articles.
Statistics edit
This section contains 53 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 (Level 4)
- 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
- 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 3)
- 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 185 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 integration
- 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 59 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 54 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.