List of articles every Wikipedia should have/Expanded/Mathematics

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Mathematics, 300[edit]

Transcluded from List of articles every Wikipedia should have/Expanded/Mathematics.
See also: Scientists, inventors and mathematicians

Basics, 58[edit]

  1. Mathematics
  2. Mathematician
  3. Arithmetic
    1. Addition
    2. Division (mathematics)
      1. Euclidean algorithm
    3. Fraction (mathematics)
    4. Modular arithmetic
    5. Multiplication
    6. Percentage
    7. Subtraction
  4. Conjecture
  5. Mathematical constant
    1. 0 (number)
    2. 1 (number)
    3. −1 (number)
    4. Pi
    5. e (mathematical constant)
  6. Numerical digit
  7. Equation
    1. Equation solving
    2. Polynomial
    3. Quadratic equation
    4. System of linear equations
    5. Series (mathematics)
  8. Factorial
    1. Gamma function
  9. Formula
  10. Function (mathematics)
    1. Exponentiation
    2. Exponential function
    3. Function composition
    4. Logarithm
    5. Square root
  11. Hilbert's problems
  12. Number
    1. Complex number
    2. Imaginary number
    3. Integer
    4. Irrational number
    5. Natural number
    6. Rational number
    7. Real number
  13. Positional notation
    1. Arabic numerals
    2. Binary number
    3. Decimal
    4. Roman numerals
  14. Theorem
    1. Pythagorean theorem
  15. Trigonometry
    1. Inverse trigonometric functions
    2. Trigonometric functions
    3. Hyperbolic function
  16. Variable (mathematics)
  17. Constant (mathematics)
  18. Golden ratio
  19. Multiplication table

Algebra, 41[edit]

  1. Algebra
  2. Abstract algebra
    1. Algebraic topology
      1. Sheaf (mathematics)
    2. Associative property
    3. Commutative algebra
    4. Commutative property
    5. Distributive property
    6. Field (mathematics)
    7. Fundamental theorem of algebra
    8. Group (mathematics)
      1. Abelian group
      2. Classification of finite simple groups
      3. Fundamental group
      4. Group representation
      5. Group theory
    9. Homological algebra
    10. Isomorphism
    11. Module (mathematics)
    12. Representation theory
    13. Ring theory
      1. Commutative ring
      2. Field theory (mathematics)
      3. Galois theory
      4. Ring (mathematics)
  3. Algebraic geometry
    1. Algebraic variety
  4. Boolean algebra
  5. Elementary algebra
    1. Linear equation
  6. Inequality
  7. 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
  8. Multilinear algebra

Calculus and analysis, 38[edit]

  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. Functional analysis
    3. Harmonic analysis
      1. Fourier analysis
      2. Fourier series
      3. Fourier transform
    4. Numerical analysis
      1. Mathematical optimization
    5. Riemann sphere
  2. Calculus
    1. Fundamental theorem of calculus
    2. Differential calculus
      1. Derivative
      2. Differential equation
      3. Ordinary differential equation
    3. Integral
      1. Laplace transform
    4. Multivariable calculus
      1. Multiple integral
      2. Partial derivative
        1. Laplace's equation
        2. Partial differential equations
      3. Vector calculus
    5. Taylor series
    6. Calculus of variations
  3. Infinity
  4. Limit (mathematics)
    1. Limit of a sequence
    2. Sequence
      1. Fibonacci number
  5. Real analysis
  6. Approximation theory

Discrete mathematics, 22[edit]

  1. Discrete mathematics
  2. Combinatorics
    1. Permutation
  3. Graph theory
    1. Four color theorem
    2. Graph (mathematics)
  4. Mathematical logic
    1. Axiom
    2. Computability theory
      1. Computable function
    3. Gödel's incompleteness theorems
    4. Mathematical induction
    5. Mathematical proof
    6. Propositional calculus
  5. Set theory
    1. Axiom of choice
    2. Cantor's theorem
    3. Empty set
    4. Equivalence relation
    5. Naive set theory
      1. Russell's paradox
    6. Set (mathematics)

Geometry, 64[edit]

  1. Geometry
  2. Analytic geometry
  3. Angle
  4. Congruence (geometry)
  5. Coordinate system
    1. Cartesian coordinate system
    2. Polar coordinate system
  6. Differential geometry
    1. Atiyah–Singer index theorem
  7. Dimension (mathematics and physics)
  8. Distance
  9. Area
  10. Length
  11. Volume
    1. Plane (geometry)
    2. Three-dimensional space
    3. Two-dimensional space
  12. Euclidean geometry
    1. Euclidean space
  13. Fractal
    1. Mandelbrot set
  14. Hilbert space
  15. Line (geometry)
  16. Metric space
  17. Non-Euclidean geometry
  18. Parallel (geometry)
  19. Point (geometry)
  20. Riemannian geometry
  21. Similarity (geometry)
  22. Symmetry
  23. Tensor
  24. 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
Shape
  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
  5. Convex set

Other, 32[edit]

  1. Applied mathematics
    1. Information theory
    2. Information entropy
  2. Category theory
    1. Category (mathematics)
    2. Commutative diagram
  3. Dynamical system
    1. Nonlinear system
      1. Chaos theory
  4. Control theory
  5. Game theory
  6. 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
  7. Operations research
  8. Pure mathematics
  9. Theoretical computer science
    1. Computational complexity theory
    2. Theory of computation
  10. Linear programming
  11. Nonlinear programming
  12. P versus NP problem
  13. Principal component analysis
  14. Econometrics

Probability and statistics, 45[edit]

  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. 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
  3. Variance
  4. Design of experiments
  5. Randomized controlled trial
  6. Survey methodology
  7. Statistical population
  8. Sampling (statistics)