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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 - ਗਣਿਤ
  2. Mathematician - ਹਿਸਾਬਦਾਨ
  3. Arithmetic - ਗਿਣਤੀ
    1. Addition -
    2. Division (mathematics) - ਤਕਸੀਮ
      1. Euclidean algorithm -
    3. Fraction (mathematics) -
    4. Modular arithmetic -
    5. Multiplication -
    6. Percentage - ਫ਼ੀਸਦੀ
    7. Subtraction -
  4. Conjecture -
  5. Mathematical constant -
    1. 0 -
    2. 1 - ੧ (ਅੰਕ)
    3. −1 - -1 (ਸੰਖਿਆ)
    4. Pi - ਪਾਈ
    5. E (mathematical constant) -
  6. Numerical digit - ਹਿੰਦਸਾ
  7. Equation - ਸਮੀਕਰਨ
    1. Equation solving -
    2. Polynomial -
    3. Quadratic equation - ਦੋ ਘਾਤੀ ਸਮੀਕਰਨ
    4. System of linear equations - ਰੇਖੀ ਸਮੀਕਰਨਾਂ ਦਾ ਤੰਤਰ
    5. Series (mathematics) -
  8. Factorial -
    1. Gamma function -
  9. Formula -
  10. Function (mathematics) - ਫੰਕਸ਼ਨ (ਹਿਸਾਬ)
    1. Exponentiation -
    2. Exponential function -
    3. Function composition -
    4. Logarithm - ਲਘੂਗਣਕ
    5. Square root - ਵਰਗ ਮੂਲ
  11. Hilbert's problems -
  12. Number - ਅੰਕ
    1. Complex number - ਕੰਪਲੈਕਸ ਨੰਬਰ
    2. Imaginary number -
    3. Integer - ਪੂਰਨ ਸੰਖਿਆ
    4. Irrational number - ਗ਼ੈਰ-ਬਟੇਨੁਮਾ ਸੰਖਿਆ
    5. Natural number - ਕੁਦਰਤੀ ਅੰਕ
    6. Rational number - ਬਟੇਨੁਮਾ ਸੰਖਿਆ
    7. Real number - ਵਾਸਤਵਿਕ ਨੰਬਰ
  13. Positional notation -
    1. Arabic numerals -
    2. Binary number - ਬਾਇਨਰੀ ਨੰਬਰ ਸਿਸਟਮ
    3. Decimal - ਇਸ਼ਾਰੀਆ
    4. Roman numerals -
  14. Theorem - ਥਿਓਰਮ
    1. Pythagorean theorem - ਪਾਈਥਾਗੋਰਸ ਥਿਊਰਮ
  15. Trigonometry - ਤਿਕੋਣਮਿਤੀ
    1. Inverse trigonometric functions -
    2. Trigonometric functions -
    3. Hyperbolic function -
  16. Variable (mathematics) - ਅਸਥਿਰਾਂਕ (ਗਣਿਤ)
  17. Constant (mathematics) - ਗਣਿਤਿਕ ਸਥਿਰਾਂਕ
  18. Golden ratio - ਸੁਨਹਿਰੀ ਅਨੁਪਾਤ
  19. Multiplication table -

Algebra, 41[edit]

  1. Algebra - ਅਲਜਬਰਾ
  2. Abstract algebra -
    1. Algebraic topology - ਅਲਜਬਰਿਕ ਟੌਪੌਲੌਜੀ
      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 - ਗਰੁੱਪ ਥਿਊਰੀ
    9. Homological algebra -
    10. Isomorphism - ਆਇਸੋਮੌਰਫਿਜ਼ਮ
    11. Module (mathematics) - ਮੌਡਿਊਲ
    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 (mathematics) -
  7. Linear algebra -
    1. Gaussian elimination -
    2. Matrix (mathematics) - ਮੈਟ੍ਰਿਕਸ (ਗਣਿਤ)
      1. Determinant -
      2. Eigenvalues and eigenvectors - ਆਈਗਨ-ਮੁੱਲ ਅਤੇ ਆਈਗਨ-ਵੈਕਟਰ
    3. Vector space - ਵੈਕਟਰ ਸਪੇਸ
      1. Euclidean vector -
        1. Cross product - ਕਰੌਸ ਪ੍ਰੋਡਕਟ
        2. Dot product -
  8. Multilinear algebra -

Calculus and analysis, 38[edit]

  1. Mathematical analysis - ਗਣਿਤ ਵਿਸ਼ਲੇਸ਼ਣ
    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 - ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
    4. Numerical analysis - ਅੰਕੀ ਵਿਸ਼ਲੇਸ਼ਣ
      1. Mathematical optimization -
    5. Riemann sphere -
  2. Calculus - ਕੈਲਕੂਲਸ
    1. Fundamental theorem of calculus -
    2. Differential calculus -
      1. Derivative -
      2. Differential equation - ਡਿਫ਼ਰੈਂਸ਼ੀਅਲ ਸਮੀਕਰਨ
      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 equation -
      3. Vector calculus -
    5. Taylor series -
    6. Calculus of variations -
  3. Infinity - ਅਨੰਤ
  4. Limit (mathematics) -
    1. Limit of a sequence -
    2. Sequence -
      1. Fibonacci number - ਫ਼ੀਬੋਨਾਚੀ ਤਰਤੀਬ
  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 (discrete mathematics) -
  4. Mathematical logic -
    1. Axiom - ਤਤਸਮਕ
    2. Computability theory -
      1. Computable function -
    3. Gödel's incompleteness theorems -
    4. Mathematical induction -
    5. Mathematical proof - ਗਣਿਤਕ ਸਬੂਤ
    6. Propositional calculus -
  5. Set theory - ਸੈਟ ਸਿਧਾਂਤ
    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) - ਸੈੱਟ (ਗਣਿਤ)

Geometry, 64[edit]

  1. Geometry - ਰੇਖਕੀ
  2. Analytic geometry -
  3. Angle - ਕੋਨ
  4. Congruence (geometry) -
  5. Coordinate system - ਗੁਣਕ ਪ੍ਰਬੰਧ
    1. Cartesian coordinate system - ਕਾਰਟੇਜ਼ੀ ਗੁਣਕ ਪ੍ਰਬੰਧ
    2. Polar coordinate system - ਪੋਲਰ ਨਿਰਦੇਸ਼ਾਂਕ
  6. Differential geometry -
    1. Atiyah–Singer index theorem -
  7. Dimension - ਪਸਾਰ
  8. Distance - ਪੈਂਡਾ
  9. Area - ਖੇਤਰਫਲ
  10. Length - ਲੰਬਾਈ
  11. Volume - ਆਇਤਨ
    1. Plane (geometry) -
    2. Three-dimensional space - ਤਿੰਨ-ਪਸਾਰੀ ਖ਼ਲਾਅ
    3. Two-dimensional space -
  12. Euclidean geometry -
    1. Euclidean space - ਯੁਕਲਿਡੀਅਨ ਸਪੇਸ
  13. Fractal - ਫ੍ਰੈਕਟਲ
    1. Mandelbrot set -
  14. Hilbert space - ਹਿਲਬਰਟ ਸਪੇਸ
  15. Line (geometry) - ਸਰਲ ਰੇਖਾ
  16. Metric space -
  17. Non-Euclidean geometry -
  18. Parallel (geometry) -
  19. Point (geometry) - ਬਿੰਦੀ (ਰੇਖਾਗਣਿਤ)
  20. Riemannian geometry - ਰੀਮਾਨੀਅਨ ਜੀਓਮੈਟ੍ਰੀ
  21. Similarity (geometry) - ਸਮਰੂਪਤਾ (ਰੇਖਾਗਣਿਤ)
  22. Symmetry - ਸਮਤਾ
  23. Tensor - ਟੈਂਸਰ
  24. Topology - ਟੌਪੌਲੌਜੀ
    1. Compact space -
    2. Euler characteristic -
    3. General topology - ਆਮ ਟੌਪੌਲੌਜੀ
    4. Homology (mathematics) -
    5. Homotopy -
    6. Knot theory - ਗੱਠ ਸਿਧਾਂਤ
    7. Manifold - ਮੈਨੀਫੋਲਡ
    8. Open set -
    9. Poincaré conjecture -
    10. Topological space - ਟੌਪੌਲੌਜੀਕਲ ਸਪੇਸ
Shape
  1. Conic section -
    1. Circle - ਚੱਕਰ
    2. Ellipse -
    3. Parabola -
    4. Hyperbola -
  2. Polygon - ਬਹੁਬਾਹੀਆ
    1. Hexagon -
    2. Pentagon -
    3. Quadrilateral - ਚੁਬਾਹੀਆ
      1. Parallelogram - ਸਮਾਂਤਰ ਚਤੁਰਭੁਜ
      2. Rectangle -
      3. Rhombus - ਸਮਚੁਬਾਹੀਆ
      4. Square - ਵਰਗ
      5. Trapezoid -
    4. Triangle - ਤਿਕੋਨ
      1. Reuleaux triangle -
  3. Polyhedron -
    1. Cube - ਘਣ (ਖੇਤਰਮਿਤੀ)
    2. Prism (geometry) -
    3. Pyramid (geometry) -
  4. Sphere - ਗੋਲ਼ਾ
  5. Convex set -

Other, 32[edit]

  1. Applied mathematics -
    1. Information theory -
    2. Entropy (information theory) - ਐਨਟ੍ਰੌਪੀ (ਇਨਫ੍ਰਮੇਸ਼ਨ ਥਿਊਰੀ)
  2. Category theory -
    1. Category (mathematics) -
    2. Commutative diagram -
  3. Dynamical system -
    1. Nonlinear system -
      1. Chaos theory - ਘੜਮੱਸ ਸਿਧਾਂਤ
  4. Control theory -
  5. Game theory - ਗੇਮ ਥਿਊਰੀ
  6. Number theory - ਅੰਕ ਸਿਧਾਂਤ
    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 - ਫਰਮਾ ਦੀ ਆਖਰੀ ਥਿਓਰਮ
    5. Fundamental theorem of arithmetic -
    6. Prime number - ਅਭਾਜ ਸੰਖਿਆ
      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 - ਸੰਭਾਵਨਾ
    1. Probability theory - ਪ੍ਰੋਬੇਬਿਲਟੀ ਥਿਊਰੀ
    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. Discrete uniform distribution -
    9. Probability space -
    10. Stochastic process -
  2. Statistics - ਅੰਕੜਾ ਵਿਗਿਆਨ
    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 estimation -
    9. Mode (statistics) -
    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) -
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