User:Arael2/wikislice-math

About mathematics

Mathematics is the study of patterns, including concepts such as quantity, structure, space, uncertainty, and change. 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.

General information History of mathematics - Philosophy of mathematics - Mathematical notation - Mathematical beauty - Mathematics education - Areas of mathematics Mathematicians: Foundations Foundations of mathematics - Set theory - Naive set theory - Axiomatic set theory - Mathematical logic - Proof theory - Model theory - Category theory - Topos theory - Gödel's incompleteness theorems - Algebra Abel's theorem - Abstract algebra - Algebra - Algebraic closure - Algebraic curve - Algebraic element - Algebraic equation - Algebraic extension - Algebraic geometry - Algebraic integer - Algebraic number - Algebraic number field - Alphabet - Artinian ring - Astroid - Binomial - CURL - Chain complex - Checksum - Cissoid of Diocles - Clifford algebra - Code - Coding theory - Coefficient - Column vector - Commutative diagram - Commutative ring - Completing the square - Cross - Cross product - Cubic equation - Curl - Cyclic redundancy check - Dedekind domain - Del - Direction - Directional derivative - Discriminant - Divergence - Divergence theorem - Dot product - Dual number - Eisenstein integer - Ellipse - Elliptic curve - Endomorphism - Euclidean domain - Exact sequence - Exterior algebra - Factorization - Field - Field of fractions - Filtration - Finite field - Free module - Galois theory - Global field - Gradient - Gray code - Green's theorem - Hadamard matrix - Hamming code - Hilbert's Nullstellensatz - Homogeneous polynomial - Homological algebra - Homology - Huffman coding - Hyperbola - Hypercomplex number - Ideal - Integral domain - Invariant - Inverse limit - Irreducible polynomial - Jerk - Kernel - Lemniscate - Letter - Linear algebra - Linear code - Linear equation - Linear independence - Local ring - Localization - Module - Monomial - Nabla - Noetherian ring - Noise - Null vector - Octonion - Orthogonal polynomials - PID - Parabola - Parallelogram law - Perpendicular - Polynomial - Polynomial ring - Prime ideal - Primorial - Principal ideal - Principal ideal domain - Pseudoscalar - Pseudovector - Quadratic equation - Quadratic form - Quartic equation - Quaternion - Quintic equation - Quotient ring - Rank-nullity theorem - Rational function - Ray - Regular local ring - Regulator - Resolution - Resultant - Riemann surface - Ring - Ring homomorphism - Root of unity - Scalar - Scalar field - Scheme - Semicubical parabola - Semiring - Separable extension - Simultaneous equations - Speed - Spinor - Split - Splitting field - Stochastic matrix - Surface integral - Symmetric polynomial - Syzygy - Term - Trinomial - Trivial ring - Turbine - UPC - Unit - Unit ring - Unit vector - Universal Product Code - Variable - Vector - Vector field - Vector potential - Vector space - Waring's problem - Wavelet - Zero divisor Number theory Number theory - Algebraic number theory - Analytic number theory - Arithmetic - Numbers - Natural numbers - Prime numbers - Rational numbers - Algebraic numbers - Fundamental theorem of arithmetic Discrete mathematics Discrete mathematics - Combinatorics - Graph theory - Game theory - Discrete geometry - Theoretical computer science - Computability theory - Complexity theory - Information theory Algebra Applied Mathematics Action - Alpha-beta pruning - Anti-aliasing - Approximation theory - Auction - Bar chart - Bifurcation - Bifurcation theory - Carrying capacity - Cascade - Catastrophe theory - Chaos - Circulant matrix - Codimension - Complex system - Contour line - Control theory - Conway's Game of Life - Decision theory - Dissipative system - Duel - Dynamical system - Economics - Election - Electrical engineering - Endomorphism - Entropy - Ergodic theory - Filter - Finance - Game - Game theory - Generation - Genetic algorithm - Genetic programming - Growth - Hough transform - Information theory - Inverse problem - Island - Kalman filter - Life expectancy - Linear programming - Logistic map - Lorenz attractor - Mixed strategy - Monty Hall problem - Mutual information - Nash equilibrium - Nelder-Mead method - Noise - Nonlinear programming - Numerical integration - Nyquist frequency - Operations research - Optimization - Perfect information - Phase space - Phase transition - Pie chart - Population growth - Prisoner's dilemma - SEED - Safe - Sampling - Seed - Signal-to-noise ratio - Simulated annealing - Stability - Stochastic - Stochastic resonance - Strategy - Surreal number - Synergetics - Tabu search - Transfer function - Ultrafilter - Vector field - Vickrey auction - Voting - World line Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Analysis Analysis - Calculus - Vector calculus - Differential equations - Calculus of variations - Real analysis - Complex analysis - Functional analysis - Measure theory - Harmonic analysis - Special functions - Fundamental theorem of calculus Algebra Algebra - Elementary algebra - Abstract algebra - Group theory - Ring theory - Field theory - Commutative algebra - Linear algebra - Matrix theory - Multilinear algebra - Universal algebra - Order theory - Fundamental theorem of algebra - Binomial - Coefficient - Complex Polynomial - Complex Variable - Constant Polynomial - Cubic Equation - Cubic Formula - Cubic Polynomial - Eliminant - Factorization - Horner's Rule - Kernel Polynomial - Minimax Polynomial - Monomial - Multinomial - Polynomial - Polynomial - Polynomial Degree - Polynomial Degree - Polynomial Discriminant - Polynomial Discriminant - Polynomial Equation - Polynomial Factor Theorem - Polynomial Factorization - Polynomial Form - Polynomial Height - Polynomial Identity - Polynomial Map - Polynomial Matrix - Polynomial Matrix - Polynomial Norm - Polynomial Order - Polynomial Quotient - Polynomial Quotient - Polynomial Remainder - Polynomial Ring - Polynomial Roots - Polynomial Sequence - Polynomial Span - Resultant - Sylvester Matrix - Symmetric Polynomial - Synthetic Division - Term - Tetrahedral Equation - Trinomial - Variable Geometry and topology Geometry - Topology - General topology - Algebraic topology - Geometric topology - Euclidean geometry - Non-Euclidean geometry - Affine geometry - Projective geometry - Differential geometry - Riemannian geometry - Lie groups - Algebraic geometry - Four color theorem - Trigonometry - Pythagorean theorem Applied mathematics Applied mathematics - Numerical analysis - Mathematical biology - Optimization - Dynamical systems - Chaos theory - Financial mathematics - Cryptography - Mathematical physics - Classical mechanics - Probability - Statistics - Stochastic processes - Operations research

Sections

Academic Papers - Algebra - Applied Mathematics - Ask an Expert - Bifurcation - Books - Calculus - Chaos - Combinatorics - Complex Systems - Conferences - Education - Ethnomathematics - Fields Medal - Foundations of Mathematics - Fractals - Geometry - History - Humor - Journals - Libraries - Linear Algebra - Logic - Mathematical Biology - Mathematicians - Modeling - Number Theory - Numerical Analysis - Operations Research - Organizations - Pre-Algebra - Probability - Problems, Puzzles, and Games - Research - Scientific Notation - Security and Encryption - Set Theory - Software - Statistics - Tools - Wavelets - Web Directories