Mathematics Knowledge Maps
Browse 113 subfields in Mathematics, grouped across 11 disciplines. Open a discipline or subfield to inspect its frameworks, rival schools, timelines, concept maps, and prerequisites.
11 disciplines113 subfields
Disciplines
11 totalAlgebra
12 subfieldsAbstract AlgebraFrameworks, timelines, concept maps, and prerequisitesAlgebraFrameworks, timelines, concept maps, and prerequisitesCommutative AlgebraFrameworks, timelines, concept maps, and prerequisitesField And Galois TheoryFrameworks, timelines, concept maps, and prerequisitesGroup TheoryFrameworks, timelines, concept maps, and prerequisitesHomological AlgebraFrameworks, timelines, concept maps, and prerequisitesLie TheoryFrameworks, timelines, concept maps, and prerequisitesLinear AlgebraFrameworks, timelines, concept maps, and prerequisitesModule TheoryFrameworks, timelines, concept maps, and prerequisitesNoncommutative AlgebraFrameworks, timelines, concept maps, and prerequisitesRepresentation TheoryFrameworks, timelines, concept maps, and prerequisitesRing TheoryFrameworks, timelines, concept maps, and prerequisites
Analysis
11 subfieldsCalculus Of VariationsFrameworks, timelines, concept maps, and prerequisitesComplex AnalysisFrameworks, timelines, concept maps, and prerequisitesDynamical SystemsFrameworks, timelines, concept maps, and prerequisitesFunctional AnalysisFrameworks, timelines, concept maps, and prerequisitesGeometric Measure TheoryFrameworks, timelines, concept maps, and prerequisitesHarmonic AnalysisFrameworks, timelines, concept maps, and prerequisitesMathematical AnalysisFrameworks, timelines, concept maps, and prerequisitesMeasure TheoryFrameworks, timelines, concept maps, and prerequisitesOperator TheoryFrameworks, timelines, concept maps, and prerequisitesPartial Differential EquationsFrameworks, timelines, concept maps, and prerequisitesReal AnalysisFrameworks, timelines, concept maps, and prerequisites
Applied Mathematics
12 subfieldsApplied MathematicsFrameworks, timelines, concept maps, and prerequisitesAsymptotic AnalysisFrameworks, timelines, concept maps, and prerequisitesContinuum MechanicsFrameworks, timelines, concept maps, and prerequisitesControl TheoryFrameworks, timelines, concept maps, and prerequisitesGame TheoryFrameworks, timelines, concept maps, and prerequisitesInverse ProblemsFrameworks, timelines, concept maps, and prerequisitesMathematical ModelingFrameworks, timelines, concept maps, and prerequisitesMathematical OptimizationFrameworks, timelines, concept maps, and prerequisitesNumerical AnalysisFrameworks, timelines, concept maps, and prerequisitesOrdinary Differential EquationsFrameworks, timelines, concept maps, and prerequisitesPartial Differential EquationsFrameworks, timelines, concept maps, and prerequisitesScientific ComputingFrameworks, timelines, concept maps, and prerequisites
Category Theory
8 subfieldsApplied Category TheoryFrameworks, timelines, concept maps, and prerequisitesCategorical AlgebraFrameworks, timelines, concept maps, and prerequisitesCategorical LogicFrameworks, timelines, concept maps, and prerequisitesCategory TheoryFrameworks, timelines, concept maps, and prerequisitesEnriched Category TheoryFrameworks, timelines, concept maps, and prerequisitesHigher Category TheoryFrameworks, timelines, concept maps, and prerequisitesMonoidal CategoriesFrameworks, timelines, concept maps, and prerequisitesTopos TheoryFrameworks, timelines, concept maps, and prerequisites
Combinatorics
9 subfieldsAdditive CombinatoricsFrameworks, timelines, concept maps, and prerequisitesAlgebraic CombinatoricsFrameworks, timelines, concept maps, and prerequisitesCombinatoricsFrameworks, timelines, concept maps, and prerequisitesDesign TheoryFrameworks, timelines, concept maps, and prerequisitesEnumerative CombinatoricsFrameworks, timelines, concept maps, and prerequisitesExtremal CombinatoricsFrameworks, timelines, concept maps, and prerequisitesGraph TheoryFrameworks, timelines, concept maps, and prerequisitesMatroid TheoryFrameworks, timelines, concept maps, and prerequisitesProbabilistic CombinatoricsFrameworks, timelines, concept maps, and prerequisites
Discrete Mathematics
7 subfieldsCoding TheoryFrameworks, timelines, concept maps, and prerequisitesCombinatorial OptimizationFrameworks, timelines, concept maps, and prerequisitesDiscrete GeometryFrameworks, timelines, concept maps, and prerequisitesDiscrete MathematicsFrameworks, timelines, concept maps, and prerequisitesDiscrete ProbabilityFrameworks, timelines, concept maps, and prerequisitesEnumerationFrameworks, timelines, concept maps, and prerequisitesGraph TheoryFrameworks, timelines, concept maps, and prerequisites
Geometry
9 subfieldsAlgebraic GeometryFrameworks, timelines, concept maps, and prerequisitesComplex GeometryFrameworks, timelines, concept maps, and prerequisitesConvex GeometryFrameworks, timelines, concept maps, and prerequisitesDifferential GeometryFrameworks, timelines, concept maps, and prerequisitesDiscrete GeometryFrameworks, timelines, concept maps, and prerequisitesGeometric Group TheoryFrameworks, timelines, concept maps, and prerequisitesGeometryFrameworks, timelines, concept maps, and prerequisitesRiemannian GeometryFrameworks, timelines, concept maps, and prerequisitesSymplectic GeometryFrameworks, timelines, concept maps, and prerequisites
Mathematical Logic
8 subfieldsConstructive MathematicsFrameworks, timelines, concept maps, and prerequisitesDescriptive Set TheoryFrameworks, timelines, concept maps, and prerequisitesMathematical LogicFrameworks, timelines, concept maps, and prerequisitesModel TheoryFrameworks, timelines, concept maps, and prerequisitesProof TheoryFrameworks, timelines, concept maps, and prerequisitesRecursion TheoryFrameworks, timelines, concept maps, and prerequisitesSet TheoryFrameworks, timelines, concept maps, and prerequisitesType TheoryFrameworks, timelines, concept maps, and prerequisites
Number Theory
10 subfieldsAdditive Number TheoryFrameworks, timelines, concept maps, and prerequisitesAlgebraic Number TheoryFrameworks, timelines, concept maps, and prerequisitesAnalytic Number TheoryFrameworks, timelines, concept maps, and prerequisitesArithmetic GeometryFrameworks, timelines, concept maps, and prerequisitesComputational Number TheoryFrameworks, timelines, concept maps, and prerequisitesDiophantine GeometryFrameworks, timelines, concept maps, and prerequisitesElementary Number TheoryFrameworks, timelines, concept maps, and prerequisitesModular Forms And Automorphic FormsFrameworks, timelines, concept maps, and prerequisitesNumber TheoryFrameworks, timelines, concept maps, and prerequisitesTranscendental Number TheoryFrameworks, timelines, concept maps, and prerequisites
Probability & Statistics
19 subfieldsBayesian StatisticsFrameworks, timelines, concept maps, and prerequisitesCausal InferenceFrameworks, timelines, concept maps, and prerequisitesExperimental DesignFrameworks, timelines, concept maps, and prerequisitesMarkov ProcessesFrameworks, timelines, concept maps, and prerequisitesMeasure Theoretic ProbabilityFrameworks, timelines, concept maps, and prerequisitesMultivariate StatisticsFrameworks, timelines, concept maps, and prerequisitesNonparametric StatisticsFrameworks, timelines, concept maps, and prerequisitesProbability TheoryFrameworks, timelines, concept maps, and prerequisitesRegression AnalysisFrameworks, timelines, concept maps, and prerequisitesSpatial StatisticsFrameworks, timelines, concept maps, and prerequisitesStatistical ComputingFrameworks, timelines, concept maps, and prerequisitesStatistical InferenceFrameworks, timelines, concept maps, and prerequisitesStatistical LearningFrameworks, timelines, concept maps, and prerequisitesStochastic AnalysisFrameworks, timelines, concept maps, and prerequisitesStochastic CalculusFrameworks, timelines, concept maps, and prerequisitesStochastic ProcessesFrameworks, timelines, concept maps, and prerequisitesSurvey SamplingFrameworks, timelines, concept maps, and prerequisitesSurvival AnalysisFrameworks, timelines, concept maps, and prerequisitesTime Series AnalysisFrameworks, timelines, concept maps, and prerequisites
Topology
8 subfieldsAlgebraic TopologyFrameworks, timelines, concept maps, and prerequisitesDifferential TopologyFrameworks, timelines, concept maps, and prerequisitesGeometric TopologyFrameworks, timelines, concept maps, and prerequisitesHomotopy TheoryFrameworks, timelines, concept maps, and prerequisitesKnot TheoryFrameworks, timelines, concept maps, and prerequisitesLow Dimensional TopologyFrameworks, timelines, concept maps, and prerequisitesPoint Set TopologyFrameworks, timelines, concept maps, and prerequisitesTopologyFrameworks, timelines, concept maps, and prerequisites