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((Navbox
| name = Industrial and applied mathematics
| state = <includeonly>collapsed</includeonly>
| bodyclass = hlist
| title = [[Applied mathematics|Industrial and applied mathematics]]

| group1 = [[Computational mathematics|Computational]]
| list1 =
* [[Algorithm]]s
** [[Algorithm design|design]]
** [[Analysis of algorithms|analysis]]
* [[Automata theory]]
* [[Automated theorem proving]]
* [[Coding theory]]
* [[Computational geometry]]
* [[Constraint satisfaction problem|Constraint satisfaction]]
** [[Constraint programming]]
* [[Logic in computer science|Computational logic]]
* [[Cryptography]]
* [[Information theory]]
* [[Computational statistics|Statistics]]

| group2 = [[Discrete mathematics|Discrete]]
| list2 =
* [[Computer algebra]]
* [[Computational number theory]]
* [[Combinatorics]]
* [[Graph theory]]
* [[Discrete geometry]]

| group3 = [[Mathematical analysis|Analysis]]
| list3 =
* [[Approximation theory]]
* [[Clifford analysis]]
** [[Clifford algebra]]
* [[Differential equation|Differential equations]]
** [[Ordinary differential equation|Ordinary differential equations]]
** [[Partial differential equation|Partial differential equations]]
** [[Stochastic differential equation|Stochastic differential equations]]
* [[Differential geometry]]
** [[Differential form|Differential forms]]
** [[Gauge theory (mathematics)|Gauge theory]]
** [[Geometric analysis]]
* [[Dynamical system|Dynamical systems]]
** [[Chaos theory]]
** [[Control theory]]
* [[Functional analysis]]
** [[Operator algebra]]
** [[Operator theory]]
* [[Harmonic analysis (mathematics)|Harmonic analysis]]
** [[Fourier analysis]]
* [[Multilinear algebra]]
** [[Exterior algebra|Exterior]]
** [[Geometric algebra|Geometric]]
** [[Tensor]]
** [[Vector calculus#Vector algebra|Vector]]
* [[Multivariable calculus]]
** [[Exterior calculus|Exterior]]
** [[Geometric calculus|Geometric]]
** [[Tensor calculus|Tensor]]
** [[Vector calculus|Vector]]
* [[Numerical analysis]]
** [[Numerical linear algebra]]
** [[Numerical methods for ordinary differential equations]]
** [[Numerical methods for partial differential equations]]
** [[Validated numerics]]
* [[Calculus of variations|Variational calculus]]

| group4 = [[Probability theory]]
| list4 =
* [[Probability distribution|Distribution]]s&nbsp;([[random variable]]s)
* [[Stochastic process]]es((\))[[Stochastic calculus|analysis]]
* [[Functional integration|Path integral]]
* [[Malliavin calculus|Stochastic variational calculus]]

| group6 = [[Mathematical physics|Mathematical<br/>physics]]
| list6 =
<section begin=Mathematical physics />
* [[Analytical mechanics]]
** [[Lagrangian mechanics|Lagrangian]]
** [[Hamiltonian mechanics|Hamiltonian]]
* [[Field theory (physics)|Field theory]]
** [[Classical field theory|Classical]]
** [[Conformal field theory|Conformal]]
** [[Effective field theory|Effective]]
** [[Gauge theory|Gauge]]
** [[Quantum field theory|Quantum]]
** [[Statistical field theory|Statistical]]
** [[Topological field theory|Topological]]
* [[Perturbation theory]]
** [[Perturbation theory (quantum mechanics)|in quantum mechanics]]
* [[Potential theory]]
* [[String theory]]
** [[Bosonic string theory|Bosonic]]
** [[Topological string theory|Topological]]
* [[Supersymmetry]]
** [[Supersymmetric quantum mechanics]]
** [[Supersymmetric theory of stochastic dynamics]]
 ((Navbox |child |groupstyle=font-weight:normal;
  | group1 = [[Algebraic structures]]
  | list1 =
* [[Algebra of physical space]]
* [[Path integral formulation|Feynman integral]]
* [[Poisson algebra]]
* [[Quantum group]]
* [[Renormalization group]]
* [[Particle physics and representation theory|Representation theory]]
* [[Spacetime algebra]]
* [[Superalgebra]]
* [[Supersymmetry algebra]]
<section end=Mathematical physics />
 ))

| group7 = [[Decision theory|Decision science]]s
| list7 =
* [[Game theory]]
* [[Operations research]]
* [[Mathematical optimization|Optimization]]
* [[Social choice theory]]
* [[Statistics]]
* [[Mathematical economics]]
* [[Mathematical finance]]

| group8 = Other applications
| list8 =
* [[Mathematical and theoretical biology|Biology]]
* [[Mathematical chemistry|Chemistry]]
* [[Mathematical psychology|Psychology]]
* [[Mathematical sociology|Sociology]]
* "[[The Unreasonable Effectiveness of Mathematics in the Natural Sciences]]"

| group9 = Related
| list9 =
* [[Mathematics]]
* [[Mathematical software]]
| group10 = Organizations
| list10 =
* [[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]]
| below =
* '''[[:Category:Mathematics|Category]]'''
* [[Portal:Mathematics|Mathematics portal]]((\))<!--
  -->[[Topic outline of mathematics|outline]]((\))<!--
  -->[[List of mathematics topics|topics list]]

))<noinclude>
((Documentation
 | content =
((Collapsible option |statename=optional))
))

[[Category:Mathematics navigational boxes]]
</noinclude>

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