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

History of applied mathematics

General applied mathematics concepts

• Structural complexity (applied mathematics)

Persons influential in applied mathematics

• Ilan Amit
• Neal Amundson
• Rutherford Aris
• Richard E. Bellman
• Michael P. Brenner
• Dorje C. Brody
• Peter Chadwick
• Jacqueline Chen
• David Clark Dobson
• Kenneth M. Golden
• Anne Greenbaum
• Douglas C. Heggie
• James Keener
• David E. Keyes
• Andrei Knyazev
• Tamara G. Kolda
• Rachel Kuske
• Elisabeth Larsson
• Graeme Milton
• Jean Morlet
• Jorge Nocedal
• W. Harmon Ray
• Claudia Sagastizábal
• Edriss Titi
• E. T. Whittaker
• Karen Willcox

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.