List of mathematical theories

https://en.wikipedia.org/wiki/List_of_mathematical_theories

• Sets

  • Set theory

    https://en.wikipedia.org/wiki/Set_theory

  • Theory of relations

    https://en.wikipedia.org/wiki/Finitary_relation

  • Order theory

    https://en.wikipedia.org/wiki/Order_theory

  • Domain theory

    https://en.wikipedia.org/wiki/Domain_theory

  • Function theory

    https://en.wikipedia.org/wiki/Function_theory

    • Function theory may refer to:

      • Theory of functions of a real variable, the traditional name of real analysis, a branch of mathematical analysis dealing with the real numbers and real-valued functions of a real variable.

        https://en.wikipedia.org/wiki/Real_analysis

      • Theory of functions of a complex variable, the historical name for complex analysis, the branch of mathematical analysis that investigates functions of complex numbers.

        https://en.wikipedia.org/wiki/Complex_analysis

      • Constructive function theory, the study of the connection between the smoothness of a function and its degree of approximation.

        https://en.wikipedia.org/wiki/Constructive_function_theory

      • Geometric function theory, the study of geometric properties of analytic functions.

        https://en.wikipedia.org/wiki/Geometric_function_theory

• Algebra

  • Theory of equations

    https://en.wikipedia.org/wiki/Theory_of_equations

  • Representation theory

    https://en.wikipedia.org/wiki/Representation_theory

  • Semigroup theory

    https://en.wikipedia.org/wiki/Semigroup_theory

  • Group theory

    https://en.wikipedia.org/wiki/Group_theory

  • Field theory

    https://en.wikipedia.org/wiki/Field_theory_(mathematics)

  • Ring theory

    https://en.wikipedia.org/wiki/Ring_theory

• Proof theory

  https://en.wikipedia.org/wiki/Proof_theory

• Type theory

  https://en.wikipedia.org/wiki/Type_theory

• Recursion theory https://en.wikipedia.org/wiki/Recursion_theory

• Coding theory

• Number theory

• Automata theory

• Asymptotic theory

• Graph theory

• Computation theory

• Information theory

• Category theory

• Chaos theory

• Dimension theory

• Game theory

• Knot theory

• Matrix theory

• Measure theory

• Model theory

• Module theory

• Operator theory

• String theory

• Transcendental number theory

• Algebraic K-theory

• Almgren-Pitts min-max theory

• Approximation theory

• Bifurcation theory

• Braid theory

• Brill-Noether theory

• Catastrophe theory

• Character theory

• Choquet theory

• Class field theory

• Cohomology theory

• Deformation theory

• Distribution theory

• Elimination theory

• Equational theory

• Extremal graph theory

• Galois theory

• Grothendieck's Galois theory

• Hodge theory

• Invariant theory

• K-theory

• L-theory

• Local class field theory

• M-theory

• Nevanlinna theory

• Obstruction theory

• Percolation theory

• Perturbation theory

• Scheme theory

• Seiberg-Witten theory

• Sheaf theory

• Singularity theory

• Spectral theory

• Probability

  • Probability theory

    https://en.wikipedia.org/wiki/Probability_theory

  • Renewal theory

    https://en.wikipedia.org/wiki/Renewal_theory

• Networks, Operations research

  • Network theory

    https://en.wikipedia.org/wiki/Number_theory

  • Queue theory

    https://en.wikipedia.org/wiki/Queue_theory

• Quantum physics

  • Quantum theory

    https://en.wikipedia.org/wiki/Quantum_mechanics

  • Twistor theory

    https://en.wikipedia.org/wiki/Twistor_theory

• Topology

  • Surgery theory

    https://en.wikipedia.org/wiki/Surgery_theory

  • Topos theory

    https://en.wikipedia.org/wiki/Topos_theory

  • Homology theory

    https://en.wikipedia.org/wiki/Homology_theory

  • Homotopy theory

    https://en.wikipedia.org/wiki/Homotopy_theory

  • Morse theory

    https://en.wikipedia.org/wiki/Morse_theory

Wikipedia links to mathematical theories

https://en.wikipedia.org/wiki/Algebraic_K-theory https://en.wikipedia.org/wiki/Almgren%E2%80%93Pitts_min-max_theory https://en.wikipedia.org/wiki/Approximation_theory https://en.wikipedia.org/wiki/Asymptotic_theory https://en.wikipedia.org/wiki/Automata_theory https://en.wikipedia.org/wiki/Bifurcation_theory https://en.wikipedia.org/wiki/Braid_theory https://en.wikipedia.org/wiki/Brill%E2%80%93Noether_theory https://en.wikipedia.org/wiki/Catastrophe_theory https://en.wikipedia.org/wiki/Category_theory https://en.wikipedia.org/wiki/Chaos_theory https://en.wikipedia.org/wiki/Character_theory https://en.wikipedia.org/wiki/Choquet_theory https://en.wikipedia.org/wiki/Class_field_theory https://en.wikipedia.org/wiki/Coding_theory https://en.wikipedia.org/wiki/Cohomology_theory https://en.wikipedia.org/wiki/Computation_theory https://en.wikipedia.org/wiki/Deformation_theory https://en.wikipedia.org/wiki/Dimension_theory https://en.wikipedia.org/wiki/Distribution_(mathematics) https://en.wikipedia.org/wiki/Elimination_theory https://en.wikipedia.org/wiki/Extremal_graph_theory https://en.wikipedia.org/wiki/Galois_theory https://en.wikipedia.org/wiki/Game_theory https://en.wikipedia.org/wiki/Graph_theory https://en.wikipedia.org/wiki/Grothendieck%27s_Galois_theory https://en.wikipedia.org/wiki/Hodge_theory https://en.wikipedia.org/wiki/Information_theory https://en.wikipedia.org/wiki/Invariant_theory https://en.wikipedia.org/wiki/K-theory https://en.wikipedia.org/wiki/Knot_theory https://en.wikipedia.org/wiki/L-theory https://en.wikipedia.org/wiki/Local_class_field_theory https://en.wikipedia.org/wiki/M-theory https://en.wikipedia.org/wiki/Matrix_(mathematics) https://en.wikipedia.org/wiki/Measure_theory https://en.wikipedia.org/wiki/Model_theory https://en.wikipedia.org/wiki/Module_theory https://en.wikipedia.org/wiki/Network_theory https://en.wikipedia.org/wiki/Nevanlinna_theory https://en.wikipedia.org/wiki/Obstruction_theory https://en.wikipedia.org/wiki/Operator_theory https://en.wikipedia.org/wiki/Percolation_theory https://en.wikipedia.org/wiki/Perturbation_theory https://en.wikipedia.org/wiki/Scheme_theory https://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_theory https://en.wikipedia.org/wiki/Sheaf_(mathematics) https://en.wikipedia.org/wiki/Singularity_theory https://en.wikipedia.org/wiki/Spectral_theory https://en.wikipedia.org/wiki/String_theory https://en.wikipedia.org/wiki/Transcendental_number_theory