User:Kusnir/VitalMathematics

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=Mathematics (298 articles)=
 * See also: People: Mathematicians

Basics (56 articles)

 * 1)   Mathematics (Level 1)
 * 2)  Mathematician
 * 3)  Arithmetic (Level 2)
 * 4)  Addition (Level 3)
 * 5)  Subtraction (Level 3)
 * 6)  Multiplication (Level 3)
 * 7)  Division (Level 3)
 * 8)  Euclidean algorithm
 * 9)  Fraction (Level 3)
 * 10)  Percentage
 * 11)  Modular arithmetic
 * 12)  Number (Level 2)
 * 13)  Natural number (Level 3)
 * 14)  Integer (Level 3)
 * 15)  Real number (Level 3)
 * 16)  Complex number (Level 3)
 * 17)  Rational number
 * 18)  Irrational number
 * 19)  Imaginary number
 * 20)  Function (Level 3)
 * 21)  Exponentiation (Level 3)
 * 22)  Logarithm (Level 3)
 * 23)  nth root (Level 3)
 * 24)  Square root
 * 25)  Exponential function
 * 26)  Inverse function
 * 27)  Implicit function
 * 28)  Function composition
 * 29)  Graph of a function
 * 30)  Parametric equation
 * 31)  Equation (Level 3)
 * 32)  Series (Level 3)
 * 33)  Equation solving
 * 34)  Polynomial
 * 35)   Quadratic equation
 * 36)  Variable (Level 3)
 * 37)  Constant
 * 38)  Pi (Level 3)
 * 39)  e (Level 3)
 * 40)  0 (Level 3)
 * 41)  1
 * 42)  −1
 * 43)  Imaginary unit
 * 44)  Golden ratio
 * 45)  Positional notation
 * 46)  Numerical digit
 * 47)  Decimal
 * 48)  Arabic numerals
 * 49)  Roman numerals
 * 50)  Binary number
 * 51)  Formula
 * 52)  Theorem
 * 53)  Conjecture
 * 54)  Factorial
 * 55)  Gamma function
 * 56)  Hilbert's problems

Geometry (61 articles)

 * 1)  Geometry (Level 2)
 * 2)  Coordinate system (Level 3)
 * 3)  Cartesian coordinate system
 * 4)  Polar coordinate system
 * 5)  Dimension (Level 3)
 * 6)  Point
 * 7)  Line (Level 3)
 * 8)  Two-dimensional space
 * 9)  Plane (Level 3)
 * 10)  Angle (Level 3)
 * 11)  Right angle
 * 12)  Area (Level 3)
 * 13)  Shape (Level 3)
 * 14)  Polygon (Level 3)
 * 15)    Triangle (Level 3)
 * 16)  Quadrilateral
 * 17)  Square
 * 18)  Conic section (Level 3)
 * 19)  Circle (Level 3)
 * 20)  Ellipse
 * 21)  Parabola
 * 22)  Hyperbola
 * 23)  Three-dimensional space
 * 24)  Volume (Level 3)
 * 25)  Sphere (Level 3)
 * 26)  Polyhedron (Level 3)
 * 27)  Cube
 * 28)  Trigonometry (Level 3)
 * 29)   Trigonometric functions
 * 30)  Inverse trigonometric functions
 * 31)  Hyperbolic function
 * 32)  Topology (Level 3)
 * 33)  General topology
 * 34)  Topological space
 * 35)  Compact space
 * 36)  Manifold
 * 37)  Open set
 * 38)  Homology
 * 39)  Homotopy
 * 40)  Euler characteristic
 * 41)  Knot theory
 * 42)  Poincaré conjecture
 * 43)  Length
 * 44)  Ruler
 * 45)  Calipers
 * 46)  Distance
 * 47)  Metric space
 * 48)  Symmetry
 * 49)  Symmetry in mathematics
 * 50)  Analytic geometry
 * 51)  Differential geometry
 * 52)  Atiyah–Singer index theorem
 * 53)  Riemannian geometry
 * 54)   Euclidean geometry
 * 55)  Euclidean space
 * 56)  Convex set
 * 57)   Pythagorean theorem
 * 58)  Non-Euclidean geometry
 * 59)   Fractal
 * 60)  Tensor
 * 61)  Tessellation

Algebra (39 articles)

 * 1)  Algebra (Level 3)
 * 2)  Elementary algebra
 * 3)   Linear algebra
 * 4)  Linear equation
 * 5)  Gaussian elimination
 * 6)  Matrix
 * 7)  Determinant
 * 8)   Eigenvalues and eigenvectors
 * 9)  Vector space
 * 10)  Euclidean vector
 * 11)  Cross product
 * 12)  Dot product
 * 13)  Algebraic geometry
 * 14)  Algebraic variety
 * 15)  Boolean algebra
 * 16)  Inequality
 * 17)  Abstract algebra
 * 18)  Algebraic topology
 * 19)  Sheaf
 * 20)  Associative property
 * 21)  Commutative algebra
 * 22)  Commutative property
 * 23)  Distributive property
 * 24)  Field (mathematics)
 * 25)  Fundamental theorem of algebra
 * 26)  Galois theory
 * 27)  Group
 * 28)  Abelian group
 * 29)  Classification of finite simple groups
 * 30)  Fundamental group
 * 31)  Group representation
 * 32)  Group theory
 * 33)  Homological algebra
 * 34)  Isomorphism
 * 35)  Module
 * 36)  Representation theory
 * 37)  Ring theory
 * 38)  Commutative ring
 * 39)  Ring

Statistics and probability (40 articles)

 * 1)   Statistics (Level 2)
 * 2)  Bayesian inference
 * 3)  Correlation and dependence
 * 4)  Regression
 * 5)  Least squares
 * 6)  Data visualization
 * 7)  Design of experiments
 * 8)  Randomized controlled trial
 * 9)  Mean
 * 10)  Median
 * 11)  Meta-analysis
 * 12)  Mode
 * 13)  Observational study
 * 14)  Sample mean and covariance
 * 15)  Standard deviation
 * 16)  Standard error
 * 17)  Statistical hypothesis testing
 * 18)  p-value
 * 19)  Chi-squared test
 * 20)  Student's t-test
 * 21)  Survey methodology
 * 22)  Statistical population
 * 23)  Sampling
 * 24)  Probability (Level 3)
 * 25)   Probability theory
 * 26)  Bayes' theorem
 * 27)  Central limit theorem
 * 28)  Expected value
 * 29)  Law of large numbers
 * 30)  Markov chain
 * 31)  Probability density function
 * 32)  Probability distribution
 * 33)  Binomial distribution
 * 34)  Exponential distribution
 * 35)  Normal distribution
 * 36)  Poisson distribution
 * 37)  Discrete uniform distribution
 * 38)  Random variable
 * 39)  Stochastic process
 * 40)  Variance

Discrete mathematics (37 articles)
For topics in applied computer science, see Technology: Computing and information technology


 * 1)  Discrete mathematics
 * 2)  Mathematical logic
 * 3)  Mathematical proof (Level 3)
 * 4)  Axiom
 * 5)  Computability theory
 * 6)  Computable function
 * 7)   Gödel's incompleteness theorems
 * 8)  Mathematical induction
 * 9)  Propositional calculus
 * 10)  Theoretical computer science
 * 11)    Algorithm (Level 3)
 * 12)  Abstract machine
 * 13)  Numerical integration
 * 14)  Coding theory
 * 15)  Data compression
 * 16)  Error detection and correction
 * 17)   Computational complexity theory
 * 18)  P versus NP problem
 * 19)  Data structure
 * 20)  Formal language
 * 21)  Theory of computation
 * 22)  Combinatorics (Level 3)
 * 23)  Combination
 * 24)  Permutation
 * 25)  Set theory
 * 26)  Set (Level 3)
 * 27)  Empty set
 * 28)  Subset
 * 29)  Axiom of choice
 * 30)  Cantor's theorem
 * 31)  Equivalence relation
 * 32)  Intersection (set theory)
 * 33)  Naive set theory
 * 34)  Russell's paradox
 * 35)  Union (set theory)
 * 36)  Graph theory
 * 37)  Graph (discrete mathematics)

Calculus and analysis (39 articles)

 * 1)   Calculus (Level 3)
 * 2)  Limit (Level 3)
 * 3)  Infinity (Level 3)
 * 4)  Limit of a function
 * 5)  Limit of a sequence
 * 6)  Sequence
 * 7)  Fibonacci number
 * 8)  Fundamental theorem of calculus
 * 9)  Differential calculus
 * 10)  Derivative
 * 11)  Differential equation
 * 12)  Ordinary differential equation
 * 13)  Integral
 * 14)  Laplace transform
 * 15)  Multivariable calculus
 * 16)  Multiple integral
 * 17)  Partial derivative
 * 18)  Laplace's equation
 * 19)  Partial differential equation
 * 20)  Vector calculus
 * 21)  Del
 * 22)  Taylor series
 * 23)   Mathematical analysis (Level 3)
 * 24)  Approximation theory
 * 25)  Numerical analysis
 * 26)  Complex analysis
 * 27)  Cauchy's integral formula
 * 28)  Euler's formula
 * 29)  Euler's identity •
 * 30)  Holomorphic function
 * 31)  Riemann surface
 * 32)  Functional analysis
 * 33)  Hilbert space
 * 34)  Harmonic analysis
 * 35)  Fourier analysis
 * 36)  Fourier series
 * 37)  Fourier transform
 * 38)  Real analysis
 * 39)  Calculus of variations

Other (26 articles)

 * 1)  Number theory (Level 3)
 * 2)  Prime number (Level 3)
 * 3)  Prime number theorem
 * 4)  Euclid's theorem
 * 5)  Algebraic number theory
 * 6)  Algebraic number field
 * 7)  Class field theory
 * 8)  Analytic number theory
 * 9)   Riemann hypothesis
 * 10)  Diophantine equation
 * 11)  Fermat's Last Theorem
 * 12)  Fundamental theorem of arithmetic
 * 13)  Applied mathematics
 * 14)  Mathematical optimization (Level 3)
 * 15)  Linear programming
 * 16)  Nonlinear programming
 * 17)  Operations research
 * 18)   Game theory
 * 19)  Information theory
 * 20)  Dynamical systems theory
 * 21)  Dynamical system
 * 22)  Linear dynamical system
 * 23)  Nonlinear system
 * 24)  Control theory
 * 25)  Category theory
 * 26)  Pure mathematics