List of articles every Wikipedia should have/Expanded/Mathematics

Return to List of articles every Wikipedia should have/Expanded

Mathematics, 300

This list of pages is available as a PagePile with ID 51513

Note: may not reflect changes after 2023-08-18

See also: Scientists, inventors and mathematicians

Basics, 58

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

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

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

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

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

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

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)