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Pengguna:Gombang/Artikel vital Matematika

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Basics, 48

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  1. Matematika (en:Mathematics)
  2. Matematikawan (en:Mathematician)
  3. Aritmetika (en:Arithmetic)
    1. Perjumlahan (en:Addition
    2. Perbagian Division
      1. Algoritma Euklides (en:Euclidean algorithm)
    3. Pecahan (Fraction)
    4. Aritmetik modular (en:Modular arithmetic)
    5. Perkalian (en:Multiplication)
    6. Persentase (en:Percentage)
    7. Perkurangan (en:Subtraction)
  4. Konjektur (en:Conjecture
  5. Konstanta (matematika) (Constant)
    1. 0 (bilangan) (en:0 (number))
    2. 1 (bilangan) (en:1 (number))
    3. -1 (bilangan) (en:−1 (number))
    4. Pi (en:Pi)
    5. e (konstanta matematika) (e)
  6. Digit numeris (Digit)
  7. Persamaan (en:Equation)
    1. Pemecahan persamaan (en:Equation solving)
    2. Polinom (en:Polynomial)
    3. Persamaan kuadrat (en:Quadratic equation)
    4.   (Series)
  8. Faktorial (en:Factorial)
    1. Fungsi gamma (en:Gamma function)
  9. Rumus (en:Formula)
  10.   (Function)
    1.   (en:Exponentiation)
    2. Fungsi eksponensial (en:Exponential function)
    3. Komposisi fungsi (en:Function composition)
    4. Logaritma (en:Logarithm)
    5. Akar kuadrat (en:Square root)
  11.   (en:Hilbert's problems)
  12. Bilangan (en:Number)
    1. Bilangan kompleks (en:Complex number)
    2. Bilangan imajiner (en:Imaginary number)
    3. Bilangan bulat (en:Integer)
    4. Bilangan asli (en:Natural number)
    5. Bilangan rasional (en:Rational number)
    6. Bilangan real (en:Real number)
  13. Teorema (en:Theorem)
    1. Teorema Pythagoras (en:Pythagorean theorem)
  14. Trigonometri (en:Trigonometry)
    1.   (en:Inverse trigonometric functions)
    2.     (en:Trigonometric functions)
    3. Fungsi hiperbolik (en:Hyperbolic function)
  15. Variabel (matematika) (en:Variable (mathematics))

Algebra, 38

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  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.   Group
      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
    12.   Representation theory
    13.   Ring theory
      1.   Commutative ring
      2.   Field theory
      3.   Galois theory
      4.   Ring
  3.   Algebraic geometry
    1.   Algebraic variety
  4.   Boolean algebra
  5.   Elementary algebra
    1.   Linear equation
  6.     Linear algebra
    1.   Gaussian elimination
    2.   Matrix
      1.   Determinant
      2.     Eigenvalues and eigenvectors
    3.   Vector space
      1.   Euclidean vector

Calculus and analysis, 35

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  1.   Calculus
    1.   Fundamental theorem of calculus
    2.   Differential calculus
      1.   Derivative
      2.   Differential equation
      3.   Ordinary differential equation
    3.   Integral
    4.   Limit
      1.   Infinity
      2.   Limit of a sequence
      3.   Sequence
    5.   Multivariable calculus
      1.   Multiple integral
      2.   Partial derivative
        1.   Laplace's equation
        2.   Partial differential equation
      3.   Vector calculus
    6.   Taylor series
  2.     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.   Variational calculus

Discrete mathematics, 21

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  1.   Discrete mathematics
  2.   Combinatorics
  3.   Graph theory
    1.   Four color theorem
    2.   Graph
  4.   Logic
    1.   Axiom
    2.   Computability theory
      1.   Computable function
    3.     Gödel's incompleteness theorems
    4.   Induction
    5.   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

Geometry, 48

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  1.   Geometry
  2.   Analytic geometry
  3.   Angle
  4.   Convex set
  5.   Coordinate system
    1.   Cartesian coordinate system
    2.   Polar coordinate system
  6.   Differential geometry
    1.   Atiyah–Singer index theorem
    2.   Riemannian geometry
  7.   Dimension
  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
  13.   Metric space
  14.   Non-Euclidean geometry
  15.   Point
  16.   Symmetry
  17.   Tensor
  18.   Topology
    1.   Compact space
    2.   Euler characteristic
    3.   General topology
    4.   Homology theory
    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.   Square
      1.     Triangle
  3.   Polyhedron
    1.   Cube
  4.   Sphere

Other, 29

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  1.   Applied mathematics
    1.   Information theory
    2.   Mathematical optimization
      1.   Linear programming
      2.   Nonlinear programming
    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
  5.   Pure mathematics
  6.   Theoretical computer science
    1.     Computational complexity theory
      1.   P versus NP problem
    2.   Theory of computation
      1.     Algorithm

Probability and statistics, 36

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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.   Exponential distribution
      3.   Normal distribution
      4.   Poisson distribution
      5.   Uniform distribution
    9.   Random variable
    10.   Stochastic process
    11.   Variance
  2.     Statistics
    1.   Bayesian inference
    2.   Correlation and dependence
      1.   Regression
        1.   Least squares
    3.   Design of experiments
      1.   Randomized controlled trial
    4.   Mean
    5.   Observational study
    6.   Standard deviation
    7.   Standard error
    8.   Test of hypothesis
      1.   P value
      2.   Chi-squared test
      3.   Student's t-test
    9.   Survey
      1.   Convenience sample
      2.   Population
      3.   Random sample
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