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MyWiki:Vital articles/Level/4/Mathematics

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Improve a random level 4 vital article in 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 eleven Level 4 sub-lists of ten thousand articles and is currently under construction.

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This list is tailored to the English-language Wikipedia. There is also a list of ten thousand articles considered vital to Wikipedias of all languages.

For more information on this list and the process for adding articles, please see the Frequently Asked Questions (FAQ) page.

Total 298 articles.

Class #Articles
FA 5
GA 17
B 143
Error creating thumbnail: C 127
File:Featured article star - cross.svg FFA 9
File:Symbol unsupport vote.svg DGA 10
File:Cscr-former.svg FFLC 1
File:Symbol start class.svg Start 6

Mathematics

This section contains 298 articles.

For mathematicians, see: People: Mathematicians.

Basics

This section contains 57 articles.

  1. File:Symbol unsupport vote.svg Mathematics (Level 1)
  2. Arithmetic (Level 2)
    1. Addition
    2. Subtraction
    3. Error creating thumbnail: Multiplication
    4. Error creating thumbnail: Division
      1. Euclidean algorithm
    5. Error creating thumbnail: Fraction (Level 3)
      1. Percentage
    6. Error creating thumbnail: Modular arithmetic
  3. Number (Level 2)
    1. Error creating thumbnail: Integer (Level 3)
      1. Error creating thumbnail: Natural number (Level 3)
      2. Error creating thumbnail: Parity
    2. Real number (Level 3)
      1. Error creating thumbnail: Rational number
      2. Error creating thumbnail: Irrational number
      3. Negative number
    3. Complex number (Level 3)
      1. Error creating thumbnail: Imaginary number
  4. Error creating thumbnail: Positional notation
    1. Numerical digit
    2. Error creating thumbnail: Decimal
    3. Error creating thumbnail: Arabic numerals (Level 3)
    4. Error creating thumbnail: Roman numerals
    5. Binary number
  5. Scientific notation
  6. Order of operations
  7. Error creating thumbnail: Function (Level 3)
    1. File:Symbol unsupport vote.svg Exponentiation (Level 3)
    2. Logarithm (Level 3)
    3. Error creating thumbnail: nth root
      1. Square root
    4. Error creating thumbnail: Exponential function
    5. Error creating thumbnail: Inverse function
    6. Error creating thumbnail: Implicit function
    7. Error creating thumbnail: Function composition
    8. Error creating thumbnail: Graph of a function
    9. Error creating thumbnail: Parametric equation
  8. Error creating thumbnail: Equation (Level 3)
    1. Error creating thumbnail: Series (Level 3)
    2. Error creating thumbnail: Equation solving
    3. Error creating thumbnail: Polynomial
  9. Error creating thumbnail: Variable (Level 3)
  10. Error creating thumbnail: Mathematical constant
    1. π (Level 3)
    2. e (Level 3)
    3. Error creating thumbnail: i
    4. 0 (Level 3)
    5. 1
    6. Golden ratio
  11. Formula
  12. Theorem
  13. Conjecture
  14. Factorial
    1. Gamma function
  15. File:Cscr-former.svg Hilbert's problems

Geometry

This section contains 58 articles.

  1. Geometry (Level 2)
  2. Error creating thumbnail: Coordinate system
    1. Cartesian coordinate system
    2. Error creating thumbnail: File:Featured article star - cross.svg Polar coordinate system
  3. Error creating thumbnail: Dimension
  4. Error creating thumbnail: Point
  5. Error creating thumbnail: Line (Level 3)
  6. Error creating thumbnail: Curve
  7. Error creating thumbnail: Euclidean plane
    1. File:Symbol start class.svg Plane (mathematics)
    2. Error creating thumbnail: Angle (Level 3)
      1. Error creating thumbnail: Right angle
    3. Area (Level 3)
    4. Error creating thumbnail: Shape
    5. Error creating thumbnail: Polygon (Level 3)
      1. Error creating thumbnail: File:Featured article star - cross.svg Triangle (Level 3)
      2. Error creating thumbnail: Quadrilateral
        1. Square
    6. Error creating thumbnail: Conic section
      1. Error creating thumbnail: Circle (Level 3)
      2. Error creating thumbnail: Ellipse
      3. Parabola
      4. Hyperbola
  8. Error creating thumbnail: Three-dimensional space (Level 3)
    1. Error creating thumbnail: Volume (Level 3)
    2. Sphere
    3. Error creating thumbnail: Polyhedron
      1. Cube
  9. Trigonometry (Level 3)
    1. File:Featured article star - cross.svg Trigonometric functions
    2. Error creating thumbnail: Hyperbolic functions
  10. Topology (Level 3)
    1. General topology
    2. Topological space
    3. Compact space
    4. Error creating thumbnail: Manifold
    5. Error creating thumbnail: Open set
    6. Error creating thumbnail: Homology
    7. Error creating thumbnail: Homotopy
    8. Error creating thumbnail: Euler characteristic
    9. Knot theory
    10. Error creating thumbnail: Poincaré conjecture
  11. File:Symbol start class.svg Length
  12. Error creating thumbnail: Distance
    1. Metric space
  13. Error creating thumbnail: Symmetry
    1. Symmetry in mathematics
  14. Analytic geometry
  15. Differential geometry
    1. File:Symbol start class.svg Riemannian geometry
      1. Error creating thumbnail: Riemannian manifold
  16. Error creating thumbnail: File:Symbol unsupport vote.svg Euclidean geometry
    1. Error creating thumbnail: Convex set
    2. File:Featured article star - cross.svg Pythagorean theorem
  17. Non-Euclidean geometry
  18. File:Featured article star - cross.svg Fractal
  19. Error creating thumbnail: Tensor
  20. Tessellation

Algebra

This section contains 39 articles.

  1. Algebra (Level 2)
    1. Elementary algebra
  2. Error creating thumbnail: File:Symbol unsupport vote.svg Linear algebra (Level 3)
    1. Linear equation
    2. Gaussian elimination
    3. Matrix
      1. Determinant
      2. File:Featured article star - cross.svg Eigenvalues and eigenvectors
    4. Vector space
      1. Euclidean vector
        1. Cross product
        2. Error creating thumbnail: Dot product
  3. Algebraic geometry
    1. Algebraic variety
  4. Error creating thumbnail: Boolean algebra
  5. Error creating thumbnail: Inequality
  6. File:Symbol unsupport vote.svg Quadratic equation
  7. Error creating thumbnail: Abstract algebra (Level 3)
    1. Algebraic topology
      1. Sheaf
    2. Error creating thumbnail: Associative property
    3. Commutative algebra
    4. Commutative property
    5. Error creating thumbnail: Distributive property
    6. Field (mathematics)
    7. Fundamental theorem of algebra
    8. Error creating thumbnail: Galois theory
    9. Group
      1. Abelian group
      2. Fundamental group
      3. Group representation
      4. Group theory
    10. Homological algebra
    11. Error creating thumbnail: Isomorphism
    12. Module
    13. Representation theory
    14. Ring theory
      1. Commutative ring
      2. Ring

Statistics and probability

This section contains 40 articles.

  1. File:Symbol unsupport vote.svg Statistics (Level 2)
    1. Bayesian inference
    2. Correlation
      1. Error creating thumbnail: Regression
        1. Least squares
    3. Error creating thumbnail: Covariance
    4. Error creating thumbnail: Data and information visualization
    5. Error creating thumbnail: Design of experiments
      1. Randomized controlled trial
    6. Mean
    7. Median
    8. Error creating thumbnail: Meta-analysis
    9. Mode
    10. File:Symbol start class.svg Observational study
    11. Standard deviation
    12. Error creating thumbnail: Standard error
    13. Statistical hypothesis test
      1. p-value
      2. Error creating thumbnail: Chi-squared test
      3. Student's t-test
    14. Error creating thumbnail: Survey methodology
      1. Statistical population
      2. Sampling
  2. Probability (Level 3)
    1. File:Symbol unsupport vote.svg Probability theory
    2. Bayes' theorem
    3. Central limit theorem
    4. Error creating thumbnail: Expected value
    5. Error creating thumbnail: Law of large numbers
    6. Markov chain
    7. Probability density function
    8. Error creating thumbnail: Probability distribution
      1. Binomial distribution
      2. Exponential distribution
      3. Normal distribution
      4. Poisson distribution
      5. File:Symbol start class.svg Discrete uniform distribution
    9. Random variable
    10. Stochastic process
    11. Variance

Discrete mathematics

This section contains 39 articles.

For topics in applied computer science, see Technology: Computing and information technology.
  1. Discrete mathematics
  2. Mathematical logic
    1. Error creating thumbnail: Mathematical proof (Level 3)
    2. Error creating thumbnail: Axiom
    3. Computability theory
      1. Computable function
    4. First-order logic
    5. File:Symbol unsupport vote.svg Gödel's incompleteness theorems
    6. Mathematical induction
    7. Propositional logic
  3. Error creating thumbnail: Combinatorics
    1. Combination
    2. Permutation
  4. Theoretical computer science
    1. Error creating thumbnail: File:Featured article star - cross.svg Algorithm (Level 3)
    2. Error creating thumbnail: Abstract machine
      1. Numerical integration
    3. Error creating thumbnail: Coding theory
      1. Data compression
      2. Error creating thumbnail: Error detection and correction
    4. File:Featured article star - cross.svg Computational complexity theory
      1. P versus NP problem
    5. Error creating thumbnail: Data structure
    6. Error creating thumbnail: Formal language
    7. Error creating thumbnail: Theory of computation
  5. Set theory
    1. Set (Level 3)
      1. Error creating thumbnail: Empty set
      2. Error creating thumbnail: Subset
    2. Axiom of choice
    3. Cantor's theorem
    4. Equivalence relation
    5. Error creating thumbnail: Intersection (set theory)
    6. Error creating thumbnail: Naive set theory
      1. Error creating thumbnail: Russell's paradox
    7. File:Symbol start class.svg Union (set theory)
    8. Venn diagram
  6. Graph theory
    1. Error creating thumbnail: Graph (discrete mathematics)

Calculus and analysis

This section contains 40 articles.

  1. Error creating thumbnail: Calculus (Level 3)
    1. Error creating thumbnail: Limit (Level 3)
      1. Error creating thumbnail: Infinity (Level 3)
      2. Error creating thumbnail: Limit of a function
      3. Error creating thumbnail: Limit of a sequence
      4. Error creating thumbnail: Sequence
        1. Fibonacci sequence
    2. Error creating thumbnail: Fundamental theorem of calculus
    3. Continuous function
    4. Differential calculus
      1. Derivative
      2. Differential equation
      3. Ordinary differential equation
    5. Integral
      1. Laplace transform
    6. Error creating thumbnail: Multivariable calculus
      1. Error creating thumbnail: Multiple integral
      2. Error creating thumbnail: Partial derivative
        1. Laplace's equation
        2. Error creating thumbnail: Partial differential equation
      3. Vector calculus
        1. Error creating thumbnail: Del
    7. Taylor series
  2. Error creating thumbnail: File:Symbol unsupport vote.svg Mathematical analysis (Level 3)
    1. Error creating thumbnail: Approximation theory
    2. Numerical analysis
    3. Error creating thumbnail: Complex analysis
      1. Cauchy's integral formula
      2. Euler's formula
      3. Error creating thumbnail: Euler's identity
      4. Error creating thumbnail: Holomorphic function
      5. Riemann surface
    4. Error creating thumbnail: Functional analysis
      1. Hilbert space
    5. Error creating thumbnail: Harmonic analysis
      1. Fourier analysis
      2. Fourier series
      3. Fourier transform
    6. Error creating thumbnail: Real analysis
    7. Calculus of variations

Other

This section contains 25 articles.

  1. Number theory (Level 3)
    1. Prime number (Level 3)
      1. Prime number theorem
      2. Error creating thumbnail: Euclid's theorem
    2. Error creating thumbnail: Fundamental theorem of arithmetic
    3. Algebraic number theory
      1. Algebraic number field
      2. Error creating thumbnail: Class field theory
    4. Analytic number theory
      1. File:Symbol unsupport vote.svg Riemann hypothesis
    5. Error creating thumbnail: Diophantine equation
      1. Error creating thumbnail: Fermat's Last Theorem
  2. Applied mathematics
    1. Mathematical optimization
      1. Linear programming
      2. Error creating thumbnail: Nonlinear programming
      3. Error creating thumbnail: Operations research
    2. Error creating thumbnail: File:Featured article star - cross.svg Game theory
    3. Information theory
  3. Error creating thumbnail: Dynamical systems theory
    1. Dynamical system
    2. Control theory
    3. Chaos theory
  4. Error creating thumbnail: Category theory
  5. Pure mathematics


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