Portal:Mathematics/MathematicsTopics

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< Portal:Mathematics

General

Foundations

Number theory

Discrete mathematics

Foundations of mathematics
Mathematical logic
- Proof theory
  - Gödel's incompleteness theorems
- Model theory
- Recursion theory

Set theory
- Naive set theory
- Axiomatic set theory
Category theory
- Topos theory

Discrete mathematics
Combinatorics
- Combinatorial geometry
- Coding theory
- Combinatorial design
- Enumerative combinatorics
- Combinatorial optimization
Graph theory
Order theory
- Lattice theory
Digital Signal Processing
Theoretical computer science
- Computability theory
- Complexity theory

Algebra

Analysis

Geometry and topology

Applied mathematics

Analysis
Calculus
Measure theory
Real analysis
Complex analysis
Differential equations
- Ordinary differential equations
- Partial differential equations
Integral equations
Approximation theory
Special functions
Potential theory
Harmonic analysis
- Fourier analysis
Functional analysis
Operator theory

Applied mathematics
Mathematical modeling
Mathematical physics
Dynamical systems
- Control theory
- Calculus of variations
Optimization
Mathematical economics
- Game theory
- Mathematical finance
Statistics
Probability theory
- Stochastic processes
Numerical analysis
Cryptography
Information theory

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