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.

What type of thing is applied mathematics?

Applied mathematics can be described as all of the following:

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

External links

• The Society for Industrial and Applied Mathematics (SIAM) – professional society dedicated to promoting the interaction between mathematics and other scientific and technical communities. Aside from organizing and sponsoring numerous conferences, SIAM is a major publisher of research journals and books in applied mathematics.