# Areas of mathematics

Mathematical Logic Discrete Mathematics Elementary Computational Mathematics Probability Combinatorics Graph Theory Number Theory Algorithms and Data Structures Algebra Linear Algebra Computer Algebra Analysis Continued fractions Dynamical Systems Differential Equations Functional Analysis Fuzzy Logic and Applications Numerical Analysis Mathematical Optimization Operations Research Applied Mathematics Automatic Control Theory Game Theory Operator Theory Optimal control Geometry and Topology Mathematical Lectures Mathematical Statistics

https://en.wikipedia.org/wiki/Areas\_of\_mathematics

* Areas of mathematics
  * by applicability
    * Pure mathematics
    * Applied mathematics
  * by granularity
    * Continuous mathematics
    * Discrete mathematics
  * Computational mathematics
* Classification systems
* Major divisions of mathematics
  * Pure mathematics
    * Foundations
    * Number Theory
    * Algebra
    * Combinatorics
    * Geometry and topology
    * Analysis
  * Applied mathematics
    * Probability and statistics
    * Computational sciences
    * Physical sciences
    * Other applied mathematics
* Areas of mathematics
  * Foundations
    * Category theory
    * Information theory
    * Mathematical logic
    * Philosophy of mathematics
    * Set theory
  * Algebra
    * Elementary Algebra
    * Abstract Algebra
    * Linear Algebra
    * Multilinear Algebra
    * Universal Algebra
  * Analysis
    * Calculus
    * Real analysis
    * Complex analysis
    * Differential equations
    * Functional analysis
    * Harmonic analysis
  * Discrete
    * Combinatorics
    * Graph theory
    * Order theory
    * Game theory
  * Geometry
    * Algebraic
    * Analytic
    * Differential Geometry
    * Discrete Geometry
    * Euclidean Geometry
    * Finite Geometry
  * Number theory
    * Arithmetic
    * Algebraic number theory
    * Analytic number theory
    * Diophantine geometry
  * Topology
    * Algebraic Topology
    * Differential Topology
    * Geometric Topology
  * Applied
    * Control theory
    * Mathematical biology
    * Mathematical chemistry
    * Mathematical economics
    * Mathematical finance
    * Mathematical physics
    * Mathematical psychology
    * Mathematical statistics
    * Probability
    * Statistics
  * Computational
    * Computer science
    * Theory of computation
    * Numerical analysis
    * Optimization
    * Computer algebra
  * Others
    * History of mathematics
    * Recreational mathematics
    * Mathematics and art
    * Mathematics education
