User:Edgars2007/Vital/Mathematics

Basics, 58

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

Algebra, 41

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

Calculus and analysis, 38

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

Discrete mathematics, 22

 * 1) Discrete mathematics - Discrete mathematics
 * 2) Combinatorics - Combinatorics
 * 3) Permutation - Permutation
 * 4) Graph theory - Graph theory
 * 5) Four color theorem - Four color theorem
 * 6) Graph (mathematics) - Graph (mathematics)
 * 7) Mathematical logic - Mathematical logic
 * 8) Axiom - Axiom
 * 9) Computability theory - Computability theory
 * 10) Computable function - Computable function
 * 11) Gödel's incompleteness theorems - Gödel's incompleteness theorems
 * 12) Mathematical induction - Mathematical induction
 * 13) Mathematical proof - Mathematical proof
 * 14) Propositional calculus - Propositional calculus
 * 15) Set theory - Set theory
 * 16) Axiom of choice - Axiom of choice
 * 17) Cantor's theorem - Cantor's theorem
 * 18) Empty set - Empty set
 * 19) Equivalence relation - Equivalence relation
 * 20) Naive set theory - Naive set theory
 * 21) Russell's paradox - Russell's paradox
 * 22) Set (mathematics) - Set (mathematics)

Geometry, 64

 * 1) Geometry - Geometry
 * 2) Analytic geometry - Analytic geometry
 * 3) Angle - Angle
 * 4) Congruence (geometry) - Congruence (geometry)
 * 5) Coordinate system - Coordinate system
 * 6) Cartesian coordinate system - Cartesian coordinate system
 * 7) Polar coordinate system - Polar coordinate system
 * 8) Differential geometry - Differential geometry
 * 9) Atiyah–Singer index theorem - Atiyah–Singer index theorem
 * 10) Dimension - Dimension (mathematics and physics)
 * 11) Distance - Distance
 * 12) Area - Area
 * 13) Length - Length
 * 14) Volume - Volume
 * 15) Plane (geometry) - Plane (geometry)
 * 16) Three-dimensional space (mathematics) - Three-dimensional space
 * 17) Two-dimensional space - Two-dimensional space
 * 18) Euclidean geometry - Euclidean geometry
 * 19) Euclidean space - Euclidean space
 * 20) Fractal - Fractal
 * 21) Mandelbrot set - Mandelbrot set
 * 22) Hilbert space - Hilbert space
 * 23) Line (geometry) - Line (geometry)
 * 24) Metric space - Metric space
 * 25) Non-Euclidean geometry - Non-Euclidean geometry
 * 26) Parallel (geometry) - Parallel (geometry)
 * 27) Point (geometry) - Point (geometry)
 * 28) Riemannian geometry - Riemannian geometry
 * 29) Similarity (geometry) - Similarity (geometry)
 * 30) Symmetry - Symmetry
 * 31) Tensor - Tensor
 * 32) Topology - Topology
 * 33) Compact space - Compact space
 * 34) Euler characteristic - Euler characteristic
 * 35) General topology - General topology
 * 36) Homology (mathematics) - Homology
 * 37) Homotopy - Homotopy
 * 38) Knot theory - Knot theory
 * 39) Manifold - Manifold
 * 40) Open set - Open set
 * 41) Poincaré conjecture - Poincaré conjecture
 * 42) Topological space - Topological space


 * Shape
 * 1) Conic section - Conic section
 * 2) Circle - Circle
 * 3) Ellipse - Ellipse
 * 4) Parabola - Parabola
 * 5) Hyperbola - Hyperbola
 * 6) Polygon - Polygon
 * 7) Hexagon - Hexagon
 * 8) Pentagon - Pentagon
 * 9) Quadrilateral - Quadrilateral
 * 10) Parallelogram - Parallelogram
 * 11) Rectangle - Rectangle
 * 12) Rhombus - Rhombus
 * 13) Square - Square
 * 14) Trapezoid - Trapezoid
 * 15) Triangle - Triangle
 * 16) Reuleaux triangle - Reuleaux triangle
 * 17) Polyhedron - Polyhedron
 * 18) Cube - Cube
 * 19) Prism (geometry) - Prism (geometry)
 * 20) Pyramid (geometry) - Pyramid (geometry)
 * 21) Sphere - Sphere
 * 22) Convex set - Convex set

Other, 32

 * 1) Applied mathematics - Applied mathematics
 * 2) Information theory - Information theory
 * 3) Entropy (information theory) - Information entropy
 * 4) Category theory - Category theory
 * 5) Category (mathematics) - Category (mathematics)
 * 6) Commutative diagram - Commutative diagram
 * 7) Dynamical system - Dynamical system
 * 8) Nonlinear system - Nonlinear system
 * 9) Chaos theory - Chaos theory
 * 10) Control theory - Control theory
 * 11) Game theory - Game theory
 * 12) Number theory - Number theory
 * 13) Algebraic number theory - Algebraic number theory
 * 14) Algebraic number field - Algebraic number field
 * 15) Class field theory - Class field theory
 * 16) Analytic number theory - Analytic number theory
 * 17) Riemann hypothesis - Riemann hypothesis
 * 18) Diophantine equation - Diophantine equation
 * 19) Fermat's Last Theorem - Fermat's Last Theorem
 * 20) Fundamental theorem of arithmetic - Fundamental theorem of arithmetic
 * 21) Prime number - Prime number
 * 22) Prime number theorem - Prime number theorem
 * 23) Operations research - Operations research
 * 24) Pure mathematics - Pure mathematics
 * 25) Theoretical computer science - Theoretical computer science
 * 26) Computational complexity theory - Computational complexity theory
 * 27) Theory of computation - Theory of computation
 * 28) Linear programming - Linear programming
 * 29) Nonlinear programming - Nonlinear programming
 * 30) P versus NP problem - P versus NP problem
 * 31) Principal component analysis - Principal component analysis
 * 32) Econometrics - Econometrics

Probability and statistics, 45

 * 1) Probability - Probability
 * 2) Probability theory - Probability theory
 * 3) Bayes' theorem - Bayes' theorem
 * 4) Central limit theorem - Central limit theorem
 * 5) Expected value - Expected value
 * 6) Law of large numbers - Law of large numbers
 * 7) Markov chain - Markov chain
 * 8) Probability density function - Probability density function
 * 9) Probability distribution - Probability distribution
 * 10) Binomial distribution - Binomial distribution
 * 11) Chi-squared distribution - Chi-squared distribution
 * 12) Exponential distribution - Exponential distribution
 * 13) Normal distribution - Normal distribution
 * 14) Multivariate normal distribution - Multivariate normal distribution
 * 15) Pareto distribution - Pareto distribution
 * 16) Poisson distribution - Poisson distribution
 * 17) Student's t-distribution - Student's t-distribution
 * 18) Uniform distribution (continuous) - Uniform distribution (continuous)
 * 19) Uniform distribution (discrete) - Uniform distribution (discrete)
 * 20) Probability space - Probability space
 * 21) Stochastic process - Stochastic process
 * 22) Statistics - Statistics
 * 23) Bayesian inference - Bayesian inference
 * 24) Chi-squared test - Chi-squared test
 * 25) Correlation and dependence - Correlation and dependence
 * 26) Linear regression - Linear regression
 * 27) Margin of error - Margin of error
 * 28) Mean - Mean
 * 29) Arithmetic mean - Arithmetic mean
 * 30) Median - Median
 * 31) Maximum likelihood - Maximum likelihood
 * 32) Mode (statistics) - Mode
 * 33) P-value - P-value
 * 34) Random variable - Random variable
 * 35) Regression analysis - Regression analysis
 * 36) Standard deviation - Standard deviation
 * 37) Standard error - Standard error
 * 38) Statistical hypothesis testing - Statistical hypothesis testing
 * 39) Student's t-test - Student's t-test
 * 40) Variance - Variance
 * 41) Design of experiments - Design of experiments
 * 42) Randomized controlled trial - Randomized controlled trial
 * 43) Survey methodology - Survey methodology
 * 44) Statistical population - Statistical population
 * 45) Sampling (statistics) - Sampling (statistics)