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Algebra	Analysis	Geometry and Topology	Applied mathematics
Algebra Elementary algebra Abstract algebra Group theory Ring theory Field theory Commutative algebra Linear algebra Matrix theory Universal algebra Order theory	Analysis Calculus Vector calculus Differential equations Calculus of variations Real analysis Complex analysis Functional analysis Harmonic analysis Measure theory Special functions Trigonometry	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	Applied mathematics Numerical analysis Probability Statistics Optimization Dynamical systems Chaos theory Mathematical physics Mathematical biology Financial mathematics Cyptography
Foundations	Number theory	Discrete mathematics	General
Foundations of mathematics Set theory Naive set theory Axiomatic set theory Mathematical logic Proof theory Model theory Category theory Topos theory	Number theory Algebraic number theory Analytic number theory Arithmetic Numbers Natural numbers Prime numbers Rational numbers Algebraic numbers	Discrete mathematics Combinatorics Graph theory Game theory Discrete geometry Theoretical computer science Computability theory Complexity theory Information theory	Mathematicians History of mathematics Philosophy of mathematics Mathematical notation Mathematical beauty Mathematics education