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List of articles every Wikipedia should have/Expanded/Mathematics

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Mathematics, 300

[edit]
This list of pages is
available as a PagePile with
ID 68388
Note: may not reflect
changes after 2025-03-21
See also: Scientists, inventors and mathematicians

Basics, 32

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  1. Mathematics
  2. Mathematician

Foundations of Mathematics, 30

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  1. Conjecture
  2. Formula
  3. Hilbert's problems
  4. Theorem
  5. Variable (mathematics)
  6. Constant (mathematics)
  7. Associative property
  8. Commutative property
  9. Distributive property
  10. Axiom
  11. Mathematical induction
  12. Mathematical proof
  13. Equivalence relation
  14. Pure mathematics
Set theory, 7
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  1. Set theory
    1. Axiom of choice
    2. Cantor's theorem
    3. Empty set
    4. Naive set theory
      1. Russell's paradox
    5. Set (mathematics)
Mathematical logic, 9
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  1. Mathematical logic
    1. Computability theory
      1. Computable function
    2. Gödel's incompleteness theorems
    3. Propositional calculus
  2. Theoretical computer science
    1. Computational complexity theory
    2. Theory of computation
  3. P versus NP problem

Number theory, 43

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  1. Number theory
    1. Algebraic number theory
      1. Algebraic number field
      2. Class field theory
    2. Analytic number theory
      1. Riemann hypothesis
    3. Diophantine equation
    4. Fermat's Last Theorem
    5. Fundamental theorem of arithmetic
    6. Prime number
      1. Prime number theorem
  2. Arithmetic
    1. Addition
    2. Division (mathematics)
      1. Euclidean algorithm
    3. Fraction (mathematics)
    4. Modular arithmetic
    5. Multiplication
    6. Percentage
    7. Subtraction
  3. Mathematical constant
    1. 0 (number)
    2. 1 (number)
    3. −1 (number)
    4. Pi
    5. e (mathematical constant)
  4. Numerical digit
  5. Number
    1. Complex number
    2. Imaginary number
    3. Integer
    4. Irrational number
    5. Natural number
    6. Rational number
    7. Real number
  6. Positional notation
    1. Arabic numerals
    2. Binary number
    3. Decimal
    4. Roman numerals
  7. Golden ratio
  8. Multiplication table
  9. Fibonacci number

Algebra, 41

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  1. Algebra
  2. Abstract algebra
    1. Commutative algebra
    2. Field (mathematics)
    3. Fundamental theorem of algebra
    4. Group (mathematics)
      1. Abelian group
      2. Classification of finite simple groups
      3. Group representation
      4. Group theory
    5. Homological algebra
    6. Isomorphism
    7. Module (mathematics)
    8. Representation theory
    9. Ring theory
      1. Commutative ring
      2. Field theory (mathematics)
      3. Galois theory
      4. Ring (mathematics)
  3. Boolean algebra
  4. Elementary algebra
    1. Linear equation
  5. Inequality
  6. Linear algebra
    1. Gaussian elimination
    2. Matrix (mathematics)
      1. Determinant
      2. Eigenvalues and eigenvectors
    3. Vector space
      1. Euclidean vector
        1. Cross product
        2. Dot product
  7. Multilinear algebra
  8. Equation
    1. Equation solving
    2. Polynomial
    3. Quadratic equation
    4. System of linear equations
  9. Category theory
    1. Category (mathematics)
    2. Commutative diagram

Geometry, 69

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  1. Geometry
  2. Analytic geometry
  3. Angle
  4. Congruence (geometry)
  5. Coordinate system
    1. Cartesian coordinate system
    2. Polar coordinate system
  6. Dimension (mathematics and physics)
  7. Distance
  8. Area
  9. Length
  10. Volume
    1. Plane (geometry)
    2. Three-dimensional space
    3. Two-dimensional space
  11. Euclidean geometry
    1. Euclidean space
  12. Fractal
    1. Mandelbrot set
  13. Line (geometry)
  14. Metric space
  15. Non-Euclidean geometry
  16. Parallel (geometry)
  17. Point (geometry)
  18. Similarity (geometry)
  19. Symmetry
    1. Pythagorean theorem
  20. Trigonometry
Shape, 21
  1. Conic section
    1. Circle
    2. Ellipse
    3. Parabola
    4. Hyperbola
  2. Polygon
    1. Hexagon
    2. Pentagon
    3. Quadrilateral
      1. Parallelogram
      2. Rectangle
      3. Rhombus
      4. Square
      5. Trapezoid
    4. Triangle
      1. Reuleaux triangle
  3. Polyhedron
    1. Cube
    2. Prism (geometry)
    3. Pyramid (geometry)
  4. Sphere

Algebraic and differential geometry, 5

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  1. Algebraic geometry
    1. Algebraic variety
  2. Differential geometry
    1. Atiyah–Singer index theorem
  3. Riemannian geometry

Topology, 15

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  1. Topology
    1. Compact space
    2. Euler characteristic
    3. General topology
    4. Homology
    5. Homotopy
    6. Knot theory
    7. Manifold
    8. Open set
    9. Poincaré conjecture
    10. Topological space
  2. Algebraic topology
    1. Sheaf (mathematics)
    2. Fundamental group
  3. Convex set

Analysis, 51

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  1. Mathematical analysis
    1. Complex analysis
      1. Cauchy's integral formula
      2. Euler's formula
      3. Euler's identity
      4. Holomorphic function
      5. Riemann surface
    2. Harmonic analysis
      1. Fourier analysis
      2. Fourier series
      3. Fourier transform
    3. Riemann sphere
  2. Calculus
    1. Fundamental theorem of calculus
    2. Differential calculus
      1. Derivative
    3. Integral
      1. Laplace transform
    4. Multivariable calculus
      1. Multiple integral
      2. Partial derivative
      3. Vector calculus
    5. Taylor series
  3. Infinity
  4. Limit (mathematics)
    1. Limit of a sequence
    2. Sequence
  5. Real analysis
  6. Series (mathematics)
  7. Factorial
    1. Gamma function
  8. Function (mathematics)
    1. Exponentiation
    2. Exponential function
    3. Function composition
    4. Logarithm
    5. Square root
  9. Inverse trigonometric functions
  10. Trigonometric functions
  11. Hyperbolic function

Applied analysis, 11

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  1. Functional analysis
  2. Differential equation
  3. Ordinary differential equation
  4. Laplace's equation
  5. Partial differential equations
  6. Calculus of variations
  7. Dynamical system
    1. Nonlinear system
      1. Chaos theory
  8. Hilbert space
  9. Tensor

Other, 40

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  1. Applied mathematics

Combinatorics and graph theory, 8

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  1. Discrete mathematics
  2. Combinatorics
    1. Permutation
  3. Graph theory
    1. Four color theorem
    2. Graph (mathematics)
  4. Information theory
  5. Information entropy

Probability and mathematical statistics, 23

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  1. Probability
    1. Probability theory
    2. Bayes' theorem
    3. Central limit theorem
    4. Expected value
    5. Law of large numbers
    6. Markov chain
    7. Probability density function
    8. Probability distribution
      1. Binomial distribution
      2. Chi-squared distribution
      3. Exponential distribution
      4. Normal distribution
        1. Multivariate normal distribution
      5. Pareto distribution
      6. Poisson distribution
      7. Student's t-distribution
      8. Uniform distribution (continuous)
      9. Uniform distribution (discrete)
    9. Probability space
    10. Stochastic process
  2. Principal component analysis
  3. Econometrics

Mathematical Optimization and Applications, 8

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Numerical Analysis, 2
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  1. Numerical analysis
  2. Approximation theory
Mathematical cybernetics, 1
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  1. Control theory
Mathematical operations research, 5
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  1. Operations research
  2. Mathematical optimization
Game theory, 1
  1. Game theory
Mathematical programming, 2
  1. Linear programming
  2. Nonlinear programming

Statistics, 24

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  1. Statistics
    1. Bayesian inference
    2. Chi-squared test
    3. Correlation and dependence
    4. Linear regression
    5. Margin of error
    6. Mean
      1. Arithmetic mean
    7. Median
    8. Maximum likelihood
    9. Mode
    10. P-value
    11. Random variable
    12. Regression analysis
    13. Standard deviation
    14. Standard error
    15. Statistical hypothesis testing
    16. Student's t-test
  2. Variance
  3. Design of experiments
  4. Randomized controlled trial
  5. Survey methodology
  6. Statistical population
  7. Sampling (statistics)
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