User:Edgars2007/Vital/Mathematics

Basics, 58

Mathematics - Mathematics
Mathematician - Mathematician
Arithmetic - Arithmetic
1. Addition - Addition
2. Division (mathematics) - Division (mathematics)
  1. Euclidean algorithm - Euclidean algorithm
3. Fraction (mathematics) - Fraction (mathematics)
4. Modular arithmetic - Modular arithmetic
5. Multiplication - Multiplication
6. Percentage - Percentage
7. Subtraction - Subtraction
Conjecture - Conjecture
Mathematical constant - Mathematical constant
1. 0 (number) - 0 (number)
2. 1 (number) - 1 (number)
3. −1 - −1 (number)
4. Pi - Pi
5. E (mathematical constant) - e (mathematical constant)
Numerical digit - Numerical digit
Equation - Equation
1. Equation solving - Equation solving
2. Polynomial - Polynomial
3. Quadratic equation - Quadratic equation
4. System of linear equations - System of linear equations
5. Series (mathematics) - Series (mathematics)
Factorial - Factorial
1. Gamma function - Gamma function
Formula - Formula
Function (mathematics) - Function (mathematics)
1. Exponentiation - Exponentiation
2. Exponential function - Exponential function
3. Function composition - Function composition
4. Logarithm - Logarithm
5. Square root - Square root
Hilbert's problems - Hilbert's problems
Number - Number
1. Complex number - Complex number
2. Imaginary number - Imaginary number
3. Integer - Integer
4. Irrational number - Irrational number
5. Natural number - Natural number
6. Rational number - Rational number
7. Real number - Real number
Positional notation - Positional notation
1. Arabic numerals - Arabic numerals
2. Binary number - Binary number
3. Decimal - Decimal
4. Roman numerals - Roman numerals
Theorem - Theorem
1. Pythagorean theorem - Pythagorean theorem
Trigonometry - Trigonometry
1. Inverse trigonometric functions - Inverse trigonometric functions
2. Trigonometric functions - Trigonometric functions
3. Hyperbolic function - Hyperbolic function
Variable (mathematics) - Variable (mathematics)
Constant (mathematics) - Constant (mathematics)
Golden ratio - Golden ratio
Multiplication table - Multiplication table

Algebra, 41

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

Calculus and analysis, 38

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

Discrete mathematics, 22

Discrete mathematics - Discrete mathematics
Combinatorics - Combinatorics
1. Permutation - Permutation
Graph theory - Graph theory
1. Four color theorem - Four color theorem
2. Graph (mathematics) - Graph (mathematics)
Mathematical logic - Mathematical logic
1. Axiom - Axiom
2. Computability theory - Computability theory
  1. Computable function - Computable function
3. Gödel's incompleteness theorems - Gödel's incompleteness theorems
4. Mathematical induction - Mathematical induction
5. Mathematical proof - Mathematical proof
6. Propositional calculus - Propositional calculus
Set theory - Set theory
1. Axiom of choice - Axiom of choice
2. Cantor's theorem - Cantor's theorem
3. Empty set - Empty set
4. Equivalence relation - Equivalence relation
5. Naive set theory - Naive set theory
  1. Russell's paradox - Russell's paradox
6. Set (mathematics) - Set (mathematics)

Geometry, 64

Geometry - Geometry
Analytic geometry - Analytic geometry
Angle - Angle
Congruence (geometry) - Congruence (geometry)
Coordinate system - Coordinate system
1. Cartesian coordinate system - Cartesian coordinate system
2. Polar coordinate system - Polar coordinate system
Differential geometry - Differential geometry
1. Atiyah–Singer index theorem - Atiyah–Singer index theorem
Dimension - Dimension (mathematics and physics)
Distance - Distance
Area - Area
Length - Length
Volume - Volume
1. Plane (geometry) - Plane (geometry)
2. Three-dimensional space (mathematics) - Three-dimensional space
3. Two-dimensional space - Two-dimensional space
Euclidean geometry - Euclidean geometry
1. Euclidean space - Euclidean space
Fractal - Fractal
1. Mandelbrot set - Mandelbrot set
Hilbert space - Hilbert space
Line (geometry) - Line (geometry)
Metric space - Metric space
Non-Euclidean geometry - Non-Euclidean geometry
Parallel (geometry) - Parallel (geometry)
Point (geometry) - Point (geometry)
Riemannian geometry - Riemannian geometry
Similarity (geometry) - Similarity (geometry)
Symmetry - Symmetry
Tensor - Tensor
Topology - Topology
1. Compact space - Compact space
2. Euler characteristic - Euler characteristic
3. General topology - General topology
4. Homology (mathematics) - Homology
5. Homotopy - Homotopy
6. Knot theory - Knot theory
7. Manifold - Manifold
8. Open set - Open set
9. Poincaré conjecture - Poincaré conjecture
10. Topological space - Topological space

Shape

Conic section - Conic section
1. Circle - Circle
2. Ellipse - Ellipse
3. Parabola - Parabola
4. Hyperbola - Hyperbola
Polygon - Polygon
1. Hexagon - Hexagon
2. Pentagon - Pentagon
3. Quadrilateral - Quadrilateral
  1. Parallelogram - Parallelogram
  2. Rectangle - Rectangle
  3. Rhombus - Rhombus
  4. Square - Square
  5. Trapezoid - Trapezoid
4. Triangle - Triangle
  1. Reuleaux triangle - Reuleaux triangle
Polyhedron - Polyhedron
1. Cube - Cube
2. Prism (geometry) - Prism (geometry)
3. Pyramid (geometry) - Pyramid (geometry)
Sphere - Sphere
Convex set - Convex set

Other, 32

Applied mathematics - Applied mathematics
1. Information theory - Information theory
2. Entropy (information theory) - Information entropy
Category theory - Category theory
1. Category (mathematics) - Category (mathematics)
2. Commutative diagram - Commutative diagram
Dynamical system - Dynamical system
1. Nonlinear system - Nonlinear system
  1. Chaos theory - Chaos theory
Control theory - Control theory
Game theory - Game theory
Number theory - Number theory
1. Algebraic number theory - Algebraic number theory
  1. Algebraic number field - Algebraic number field
  2. Class field theory - Class field theory
2. Analytic number theory - Analytic number theory
  1. Riemann hypothesis - Riemann hypothesis
3. Diophantine equation - Diophantine equation
4. Fermat's Last Theorem - Fermat's Last Theorem
5. Fundamental theorem of arithmetic - Fundamental theorem of arithmetic
6. Prime number - Prime number
  1. Prime number theorem - Prime number theorem
Operations research - Operations research
Pure mathematics - Pure mathematics
Theoretical computer science - Theoretical computer science
1. Computational complexity theory - Computational complexity theory
2. Theory of computation - Theory of computation
Linear programming - Linear programming
Nonlinear programming - Nonlinear programming
P versus NP problem - P versus NP problem
Principal component analysis - Principal component analysis
Econometrics - Econometrics

Probability and statistics, 45

Probability - Probability
1. Probability theory - Probability theory
2. Bayes' theorem - Bayes' theorem
3. Central limit theorem - Central limit theorem
4. Expected value - Expected value
5. Law of large numbers - Law of large numbers
6. Markov chain - Markov chain
7. Probability density function - Probability density function
8. Probability distribution - Probability distribution
  1. Binomial distribution - Binomial distribution
  2. Chi-squared distribution - Chi-squared distribution
  3. Exponential distribution - Exponential distribution
  4. Normal distribution - Normal distribution
    1. Multivariate normal distribution - Multivariate normal distribution
  5. Pareto distribution - Pareto distribution
  6. Poisson distribution - Poisson distribution
  7. Student's t-distribution - Student's t-distribution
  8. Uniform distribution (continuous) - Uniform distribution (continuous)
  9. Uniform distribution (discrete) - Uniform distribution (discrete)
9. Probability space - Probability space
10. Stochastic process - Stochastic process
Statistics - Statistics
1. Bayesian inference - Bayesian inference
2. Chi-squared test - Chi-squared test
3. Correlation and dependence - Correlation and dependence
4. Linear regression - Linear regression
5. Margin of error - Margin of error
6. Mean - Mean
  1. Arithmetic mean - Arithmetic mean
7. Median - Median
8. Maximum likelihood - Maximum likelihood
9. Mode (statistics) - Mode
10. P-value - P-value
11. Random variable - Random variable
12. Regression analysis - Regression analysis
13. Standard deviation - Standard deviation
14. Standard error - Standard error
15. Statistical hypothesis testing - Statistical hypothesis testing
16. Student's t-test - Student's t-test
Variance - Variance
Design of experiments - Design of experiments
Randomized controlled trial - Randomized controlled trial
Survey methodology - Survey methodology
Statistical population - Statistical population
Sampling (statistics) - Sampling (statistics)