Draft:Outline of applied mathematics

The following outline is provided as an overview of and topical guide to applied mathematics:

Applied mathematics – branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains.

Branches of applied mathematics

• Discrete mathematics
  • Combinatorics
  • Graph theory
  • Game theory
  • Discrete geometry

• Theoretical computer science
  • Automata theory
  • Computability theory
  • Complexity theory
  • Information theory
  • Cryptography

• Computational mathematics
  • Approximation theory
  • Numerical analysis
  • Computational neuroscience
  • Computational social science

• Mathematical optimization
  • Convex programming
  • Nonlinear programming
  • Control theory

• Dynamical systems
  • Linear systems
  • Bifurcation theory
  • Chaos theory
  • Symbolic dynamics
  • Graph dynamical systems

• Probability
  • Probability theory
  • Stochastic processes
  • Actuarial science
  • Mathematical finance

• Statistics
  • Statistical inference
  • Design of experiments
  • Mathematical statistics
  • Econometrics
  • Machine learning

• Mathematical physics
  • Classical mechanics
  • Statistical mechanics
  • Continuum mechanics
  • Quantum mechanics

• Mathematical biology
• Mathematical economics
• Mathematical psychology
• Mathematical sociology

History of applied mathematics

Main article: History of applied mathematics

Applied mathematics lists

Main article: List of applied mathematics topics

See also

• Outline of mathematics