Draft:Outline of applied mathematics

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

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