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Mathematics

Mathematics is the study of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations. It evolved through the use of abstraction and logical reasoning, from counting, calculation, measurement, and the systematic study of positions, shapes and motions of physical objects. Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions.


0 (number) 1 (number) Abacus
Absolute value Abstract algebra Acceleration
Addition Alan Turing Albert Einstein
Algebra Algebraic structure Algorithm
Analytic geometry Angle Angular velocity
Applied mathematics Arabic numerals Archimedes
Area Arithmetic Arithmetic mean
Associativity Bayesian inference Bernhard Riemann
Bessel function Binary numeral system Binomial coefficient
Binomial distribution Blaise Pascal Boolean logic
Calculator Calculus Calculus of variations
Cardinal number Carl Friedrich Gauss Cartesian coordinate system
Cauchy–Schwarz inequality Center of mass Chaos theory
Chi-square distribution Circle Classical mechanics
Combinatorics Commutative ring Commutativity
Compact space Compass and straightedge constructions Complex number
Complex plane Conic section Control theory
Conway's Game of Life Correlation Cross product
Cryptography Cube Curl
Curve Cyclic group Decimal
Degree (angle) Derivative Determinant
Diameter Differential equation Differential geometry
Discrete Fourier transform Distance Division (mathematics)
Divisor Eigenvalue, eigenvector and eigenspace Elementary algebra
Elementary arithmetic Elementary group theory Ellipse
Elliptic curve Equation Equivalence relation
Euclid Euclid's Elements Euclidean geometry
Euclidean space Euler's identity Euler characteristic
Exponential distribution Exponential function Exponential growth
Exponentiation Factorial Factorization
Fermat's last theorem Fibonacci number First-order logic
Fluid mechanics Formula Four color theorem
Fractal Fraction (mathematics) Function (mathematics)
Function composition Fundamental theorem of arithmetic Fundamental theorem of calculus
Galois theory Game theory Gaussian elimination
Geometry Georg Cantor Goldbach's conjecture
Golden ratio Greatest common divisor Group (mathematics)
Group theory Hexadecimal Hexagon
Histogram History of mathematics Homeomorphism
Homotopy Imaginary unit Indian mathematics
Inequality Infinite monkey theorem Infinity
Information Integer Integral
International Mathematical Olympiad Interpolation Intersection (set theory)
Introduction to general relativity Introduction to special relativity Inverse function
Irrational number Isaac Newton Joseph Louis Lagrange
Kepler's laws of planetary motion Kinematics Kinetic energy
Klein bottle Knot theory Latitude
Least squares Lebesgue integration Leonhard Euler
Limit (mathematics) Limit of a function Line (mathematics)
Linear algebra Linear equation Linear regression
Logarithm Magic square Mandelbrot set
Manifold Margin of error Mathematical analysis
Mathematical physics Mathematical proof Mathematician
Mathematics Matrix (mathematics) Matrix multiplication
Mean Measurement Median
Mode (statistics) Modular arithmetic Momentum
Monte Carlo method Monty Hall problem Multiplication
Nash equilibrium Natural logarithm Natural number
Navier–Stokes equations Negative and non-negative numbers Newton's laws of motion
Newton's method Normal distribution Number
Number theory Numeral system Numerical digit
Numerical integration Octahedron On-Line Encyclopedia of Integer Sequences
Operations research Operator Ordinal number
Ordinary differential equation Partial differential equation Pascal's triangle
Percentage Perfect number Permutation
Pi Pierre-Simon Laplace Pierre de Fermat
Plane (mathematics) Platonic solid Poisson distribution
Polar coordinate system Polygon Polyhedron
Polynomial Portal:Algebra Portal:Mathematics
Power series Prime number Probability
Probability distribution Probability space Probability theory
Pythagoras Pythagorean theorem Quadratic equation
Quantity Radian Random variable
Rational number Real number Regression analysis
Riemann surface Roman numerals Rubik's Cube
Sampling (statistics) Sequence Set
Set theory Sphere Spherical coordinate system
Square (geometry) Square root Standard deviation
Statistics Student's t-distribution Student's t-test
Subset Subtraction Symmetry
System of linear equations Tangent Taylor's theorem
Taylor series Tesseract Tetrahedron
Thales Theorem Topology
Torus Triangle Trigonometric functions
Trigonometry Variance Vector (spatial)
Vector calculus Vector space Velocity
Venn diagram Volume Wave
e (mathematical constant) Évariste Galois