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Mathematics, 294

Transcluded from Wikipedia:List of articles all languages should have/Expanded/Mathmatics.

see alsoScientists, inventors and mathematicians

Basics, 56

  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. Natural number
    5. Rational number
    6. 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

Algebra, 39

  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. Linear algebra
    1. Gaussian elimination
    2. Matrix (mathematics)
      1. Determinant
      2. Eigenvalues and eigenvectors
    3. Vector
      1. Euclidean vector
      2. Vector space
  7. Multilinear algebra

Calculus and analysis, 36

  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
    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
  5. Real analysis
  6. Approximation theory

Discrete mathematics, 21

  1. Discrete mathematics
  2. Combinatorics
  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, 65

  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
    1. Symmetry in mathematics
  23. Tensor
  24. Topology
    1. Compact space
    2. Euler characteristic
    3. General topology
    4. Homology theory
      1. 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
  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 systems theory
    1. Dynamical system
      1. Linear dynamical system
      2. Nonlinear system
        1. Chaos theory
    2. Control theory
  4. Game theory
  5. 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
  6. Operations research
  7. Pure mathematics
  8. Theoretical computer science
    1. Computational complexity theory
    2. Theory of computation
  9. Linear programming
  10. Nonlinear programming
  11. P versus NP problem

Probability and statistics, 46

  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
      1. Ordinary least squares
    5. Margin of error
    6. Mean
    7. Maximum likelihood
    8. P-value
    9. Random variable
    10. Regression analysis
    11. Standard deviation
    12. Standard error
    13. Statistical hypothesis testing
    14. Student's t-test
  3. Variance
  4. Design of experiments
  5. Randomized controlled trial
  6. Sample mean and sample covariance
  7. Observational study
  8. Survey methodology
  9. Accidental sampling
  10. Statistical population
  11. Sampling (statistics)

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