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Sets
Set theory
Theory of relations
Order theory
Domain theory
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.
Theory of functions of a complex variable, the historical name for complex analysis, the branch of mathematical analysis that investigates functions of complex numbers.
Constructive function theory, the study of the connection between the smoothness of a function and its degree of approximation.
Geometric function theory, the study of geometric properties of analytic functions.
Algebra
Theory of equations
Representation theory
Semigroup theory
Group theory
Field theory
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Ring theory
Proof theory
Type theory
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
Renewal theory
Networks, Operations research
Network theory
Queue theory
Quantum physics
Quantum theory
Twistor theory
Topology
Surgery theory
Topos theory
Homology theory
Homotopy theory
Morse theory
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