വിക്കിപീഡിയ:Vital articles/Expanded/Mathematics
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Vital articles is a list of subjects for which Wikipedia should have corresponding high-quality articles. It serves as a centralized watchlist to track the status of Wikipedia's most essential articles. This is one of eleven Level 4 sub-lists of ten thousand articles and is currently under construction.
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Mathematics (296 articles)
[തിരുത്തുക]- See also: Mathematicians
Basics (60 articles)
[തിരുത്തുക]- Mathematics (Level 1)
- Arithmetic (Level 2)
- Addition (Level 3)
- Subtraction (Level 3)
- Multiplication (Level 3)
- Division (Level 3)
- Fraction (Level 3)
- Modular arithmetic
- Number (Level 2)
- Natural number (Level 3)
- Integer (Level 3)
- Rational number
- Real number (Level 3)
- Complex number (Level 3)
- Irrational number
- Imaginary number
- Function (Level 3)
- Exponentiation (Level 3)
- Logarithm (Level 3)
- nth root (Level 3)
- Square root
- Exponential function
- Inverse function
- Implicit function
- Function composition
- Graph of a function
- Equation (Level 3)
- Series (Level 3)
- Equation solving
- Polynomial
- Quadratic equation
- Trigonometry (Level 3)
- Inverse trigonometric functions
- Trigonometric functions
- Hyperbolic function
- Variable (Level 3)
- Constant
- 0 (Level 3)
- Pi (Level 3)
- e (Level 3)
- 1
- −1
- Imaginary unit
- Golden ratio
- Positional notation
- Numerical digit
- Decimal
- Arabic numerals
- Roman numerals
- Binary number
- Formula
- Theorem
- Conjecture
- Factorial
- Gamma function
- Hilbert's problems
Geometry (55 articles)
[തിരുത്തുക]- Geometry (Level 2)
- Coordinate system (Level 3)
- Cartesian coordinate system
- Polar coordinate system
- Dimension (Level 3)
- Point
- Line (Level 3)
- Two-dimensional space
- Three-dimensional space
- Topology (Level 3)
- Compact space
- Euler characteristic
- General topology
- Homology
- Homotopy
- Knot theory
- Manifold
- Open set
- Poincaré conjecture
- Topological space
- Length
- Ruler
- Calipers
- Distance
- Metric space
- Analytic geometry
- Differential geometry
- Atiyah–Singer index theorem
- Riemannian geometry
- Euclidean geometry
- Euclidean space
- Convex set
- Non-Euclidean geometry
- Symmetry
- Symmetry in mathematics
- Fractal
- Parametric equation
- Tensor
Algebra (39 articles)
[തിരുത്തുക]- Algebra (Level 3)
- Elementary algebra
- Linear algebra
- Linear equation
- Gaussian elimination
- Matrix
- Determinant
- Eigenvalues and eigenvectors
- Vector space
- Euclidean vector
- Cross product
- Dot product
- Algebraic geometry
- Algebraic variety
- Boolean algebra
- Inequality
- Abstract algebra
- Algebraic topology
- Sheaf
- Associative property
- Commutative algebra
- Commutative property
- Distributive property
- Field (mathematics)
- Fundamental theorem of algebra
- Galois theory
- Group
- Abelian group
- Classification of finite simple groups
- Fundamental group
- Group representation
- Group theory
- Homological algebra
- Isomorphism
- Module
- Representation theory
- Ring theory
- Commutative ring
- Ring
Discrete mathematics (36 articles)
[തിരുത്തുക]For topics in applied computer science, see Technology: Computing and information technology
- Discrete mathematics
- Combinatorics (Level 3)
- Combination
- Permutation
- Set theory
- Graph theory
- Mathematical logic
- Mathematical proof (Level 3)
- Axiom
- Computability theory
- Computable function
- Gödel's incompleteness theorems
- Mathematical induction
- Propositional calculus
- Theoretical computer science
- Abstract machine
- Algorithm (Level 3)
- Numerical integration
- Coding theory
- Data compression
- Error detection and correction
- Computational complexity theory
- Data structure
- Theory of computation
Probability and statistics (41 articles)
[തിരുത്തുക]- Probability (Level 3)
- Probability theory
- Bayes' theorem
- Central limit theorem
- Expected value
- Law of large numbers
- Markov chain
- Probability density function
- Probability distribution
- Binomial distribution
- Exponential distribution
- Normal distribution
- Poisson distribution
- Uniform distribution (discrete)
- Random variable
- Stochastic process
- Variance
- Statistics (Level 2)
- Bayesian inference
- Correlation and dependence
- Regression
- Least squares
- Data visualization
- Design of experiments
- Randomized controlled trial
- Mean
- Arithmetic mean
- Median
- Mode
- Observational study
- Sample mean and sample covariance
- Standard deviation
- Standard error
- Statistical hypothesis testing
- p-value
- Chi-square test
- Student's t-test
- Survey methodology
- Accidental sampling
- Statistical population
- Sampling
Calculus and analysis (39 articles)
[തിരുത്തുക]- Calculus (Level 3)
- Limit (Level 3)
- Fundamental theorem of calculus
- Differential calculus
- Derivative
- Differential equation
- Ordinary differential equation
- Integral
- Multivariable calculus
- Multiple integral
- Partial derivative
- Laplace's equation
- Partial differential equation
- Vector calculus
- Del
- Taylor series
- Mathematical analysis (Level 3)
- Approximation theory
- Numerical analysis
- Complex analysis
- Cauchy's integral formula
- Euler's formula
- Euler's identity
- Holomorphic function
- Riemann surface
- Functional analysis
- Hilbert space
- Harmonic analysis
- Fourier analysis
- Fourier series
- Fourier transform
- Real analysis
- Calculus of variations
Other (26 articles)
[തിരുത്തുക]- Number theory (Level 3)
- Prime number (Level 3)
- Prime number theorem
- Euclid's theorem
- Algebraic number theory
- Algebraic number field
- Class field theory
- Analytic number theory
- Riemann hypothesis
- Diophantine equation
- Fundamental theorem of arithmetic
- Applied mathematics
- Mathematical optimization (Level 3)
- Linear programming
- Nonlinear programming
- Operations research
- Game theory
- Information theory
- Dynamical systems theory
- Dynamical system
- Linear dynamical system
- Nonlinear system
- Control theory
- Category theory
- Pure mathematics
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