Draft:Outline of applied mathematics

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.

What type of thing is applied mathematics

Applied mathematics can be described as all of the following:

• A branch of science
  • A branch of formal science
    • A branch of mathematics
  • A branch of applied science
• An academic discipline – one with academic departments, curricula and degrees; national and international societies; and specialized journals.

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

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

General applied mathematics concepts

• Structural complexity (applied mathematics)

See also

• Outline of mathematics

External links

• Society for Industrial and Applied Mathematics (SIAM) – Professional society dedicated to applied mathematics, computational science, and their applications
• Consortium for Mathematics and Its Applications (COMAP) – Organization dedicated to improving mathematics education through the applications of mathematics