Math [Learn Mathematics from START to FINISH (2nd Edition) - YouTube](https://youtu.be/didXE0HkSC8?si=VfaXIFiprMRuUOu6)
Wikipedia [Supersymmetric theory of stochastic dynamics - Wikipedia](https://en.wikipedia.org/wiki/Supersymmetric_theory_of_stochastic_dynamics)
Industrial and applied mathematics
Map of applied mathematics
- Computational:
Algorithms
design
analysis
Automata theory
Automated theorem proving
Coding theory
Computational geometry
Constraint satisfaction
Constraint programming
Computational logic
Cryptography
Information theory
Statistics
Mathematical software
Arbitrary-precision arithmetic
Finite element analysis
Tensor software
Interactive geometry software
Optimization software
Statistical software
Numerical-analysis software
Numerical libraries
Solvers
- Discrete:
Computer algebra
Computational number theory
Combinatorics
Graph theory
Discrete geometry
- Analysis:
Approximation theory
Clifford analysis
Clifford algebra
Differential equations
Ordinary differential equations
Partial differential equations
Stochastic differential equations
Differential geometry
Differential forms
Gauge theory
Geometric analysis
Dynamical systems
Chaos theory
Control theory
Functional analysis
Operator algebra
Operator theory
Harmonic analysis
Fourier analysis
Multilinear algebra
Exterior
Geometric
Tensor
Vector
Multivariable calculus
Exterior
Geometric
Tensor
Vector
Numerical analysis
Numerical linear algebra
Numerical methods for ordinary differential equations
Numerical methods for partial differential equations
Validated numerics
Variational calculus
- Probability theory:
Distributions (random variables)
Stochastic processes / analysis
Path integral
Stochastic variational calculus
- Mathematical physics:
Analytical mechanics (Lagrangian, Hamiltonian)
Field theory
Classical
Conformal
Effective
Gauge
Quantum
Statistical
Topological
Perturbation theory
in quantum mechanics
Potential theory
String theory
Bosonic
Topological
Supersymmetry
Supersymmetric quantum mechanics
Supersymmetric theory of stochastic dynamics
Algebraic structures
Algebra of physical space
Feynman integral
Poisson algebra
Quantum group
Renormalization group
Representation theory
Spacetime algebra
Superalgebra
Supersymmetry algebra
- Decision sciences:
Game theory
Operations research
Optimization
Social choice theory
Statistics
Mathematical economics
Mathematical finance
- Other applications:
Biology
Chemistry
Psychology
Sociology
"The Unreasonable Effectiveness of Mathematics in the Natural Sciences"
Related:
Mathematics
Organizations:
Society for Industrial and Applied Mathematics
Japan Society for Industrial and Applied Mathematics
Société de Mathématiques Appliquées et Industrielles
International Council for Industrial and Applied Mathematics
European Community on Computational Methods in Applied Sciences