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 - 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

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 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

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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