Uncyclopedia:Vital articles/Expanded/Mathematics

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Mathematics, 285[edit source]

see also Scientists, inventors and mathematicians

Basics, 60[edit source]

3
  1. Mathematics
  2. Mathematician
  3. Arithmetic
    1. Addition
    2. Division (mathematics)
      1. Euclidean algorithm
    3. Fraction
      1. Percentage
    4. Modular arithmetic
    5. Multiplication
    6. Subtraction
  4. Conjecture
  5. Constant
    1. 0
    2. 1
    3. −1
    4. e
    5. Golden ratio
    6. Imaginary unit
    7. Pi
  6. Equation
    1. Equation solving
    2. Polynomial
    3. Quadratic equation
    4. Series
  7. Factorial
    1. Gamma function
  8. Formula
  9. Function
    1. Exponentiation
    2. Exponential function
    3. Function composition
    4. Inverse function
    5. Implicit function
    6. Logarithm
    7. nth root
    8. Square root
  10. Graph of a function
  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. Numerical digit
    5. Roman numerals
  14. Theorem
    1. Pythagorean theorem
  15. Trigonometry
    1. Inverse trigonometric functions
    2. Trigonometric functions
    3. Hyperbolic function
  16. Variable

Algebra, 39[edit source]

3
  1. Algebra
  2. Abstract algebra
    1. Algebraic topology
      1. Sheaf
    2. Associative property
    3. Commutative algebra
    4. Commutative property
    5. Distributive property
    6. Field (mathematics)
    7. Fundamental theorem of algebra
    8. Galois theory
    9. Group
      1. Abelian group
      2. Classification of finite simple groups
      3. Fundamental group
      4. Group representation
      5. Group theory
    10. Homological algebra
    11. Isomorphism
    12. Module
    13. Representation theory
    14. Ring theory
      1. Commutative ring
      2. Ring
  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
      1. Determinant
      2. Eigenvalues and eigenvectors
    3. Vector space
      1. Euclidean vector
        1. Cross product
        2. Dot product

Calculus and analysis, 39[edit source]

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

Discrete mathematics, 29[edit source]

3
  1. Discrete mathematics
  2. Combinatorics
    1. Combination
    2. Permutation
  3. Graph theory
    1. Four color theorem
    2. Graph
  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
    7. Theoretical computer science
      1. Computational complexity theory
        1. P versus NP problem
      2. Theory of computation
  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
    7. Union (set theory)
    8. Intersection (set theory)

Geometry, 52[edit source]

3
  1. Geometry
  2. Analytic geometry
  3. Angle
  4. Area
  5. Convex set
  6. Coordinate system
    1. Cartesian coordinate system
    2. Polar coordinate system
  7. Differential geometry
    1. Atiyah–Singer index theorem
    2. Riemannian geometry
  8. Dimension
  9. Distance
  10. Length
  11. Line
  12. Volume
    1. Plane (geometry)
    2. Three-dimensional space
    3. Two-dimensional space
  13. Euclidean geometry
    1. Euclidean space
  14. Fractal
  15. Metric space
  16. Non-Euclidean geometry
  17. Point
  18. Symmetry
    1. Symmetry in mathematics
  19. Tensor
  20. 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, 13[edit source]

  1. Shape
  2. Conic section
    1. Circle
    2. Ellipse
    3. Parabola
    4. Hyperbola
  3. Polygon
    1. Quadrilateral
      1. Square
    2. Triangle
  4. Polyhedron
    1. Cube
  5. Sphere

Other, 26[edit source]

3
  1. Applied mathematics
    1. Information theory
    2. Mathematical optimization
      1. Linear programming
      2. Nonlinear programming
      3. Operations research
    3. Game theory
  2. Category theory
  3. Dynamical systems theory
    1. Dynamical system
      1. Linear dynamical system
      2. Nonlinear system
    2. Control theory
  4. Number theory
    1. Algebraic number theory
      1. Algebraic number field
      2. Class field theory
    2. Analytic number theory
      1. Riemann hypothesis
    3. Diophantine equation
      1. Fermat's Last Theorem
    4. Fundamental theorem of arithmetic
    5. Prime number
      1. Prime number theorem
      2. Euclid's theorem
  5. Pure mathematics

Probability and statistics, 40[edit source]

3
  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. Exponential distribution
      3. Normal distribution
      4. Poisson distribution
      5. Uniform distribution (discrete)
    9. Random variable
    10. Stochastic process
    11. Variance
  2. Statistics
    1. Bayesian inference
    2. Correlation and dependence
      1. Regression
        1. Least squares
    3. Data visualization
    4. Design of experiments
      1. Randomized controlled trial
    5. Arithmetic mean
    6. Median
    7. Mode
    8. Observational study
    9. Sample mean and sample covariance
    10. Standard deviation
    11. Standard error
    12. Statistical hypothesis testing
      1. p-value
      2. Chi-square test
      3. Student's t-test
    13. Survey methodology
      1. Accidental sampling
      2. Statistical population
      3. Sampling


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