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

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models.

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

References

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.