Draft:Outline of 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

• 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

• Structural complexity (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

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• Outline of mathematics

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{{sisterlinks|Applied mathematics}}

• [https://www.siam.org/ Society for Industrial and Applied Mathematics (SIAM)] – Professional society dedicated to applied mathematics, computational science, and their applications
• [https://www.comap.com/ Consortium for Mathematics and Its Applications (COMAP)] – Organization dedicated to improving mathematics education through the applications of mathematics

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