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Major topics in Applied mathematics
Applied analysis
Approximation theory • Numerical analysis • Dynamical systems • Control theory • Chaos theory
Discrete mathematics
Combinatorics • Graph theory • Game theory • Discrete geometry • Computability theory • Complexity theory • Information theory • Cryptography
Probability
Probability distribution • Probability theory • Statistics • Stochastic process • Operations research
Other areas
Optimization • Cryptography • Mathematical biology • Financial mathematics • Theoretical computer science