Draft:Outline of applied mathematics: Difference between revisions

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{{Short description|Application of mathematical methods to other fields}}

{{see also|Outline of applied mathematics}}

The following [[Outline (list)|outline]] is provided as an overview of and topical guide to applied mathematics.

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The== followingWhat outline is provided as an overviewtype of andthing topical guide tois applied mathematics''': ==

{{portal|Applied mathematics}} can be described as all of the following:

== Essence of applied mathematics ==

: ''Main article: [[Applied mathematics]]''

* A branch of science

** A branch of formal science

*** [[DiscreteA 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 ==

* [[ApproximationDiscrete theorymathematics]]

* [[Numerical analysis]]

* [[Optimization]]

** [[Operations research]]

* [[Dynamical systems]]:

** [[Control theory]]

** [[Chaos theory]]

* [[Discrete mathematics]]:

** [[Combinatorics]]

** [[Graph theory]]

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** [[Discrete geometry]]

** [[Theoretical computer science]]

*** [[ComputabilityAutomata theory]]

*** [[ComplexityComputability theory]]

*** [[InformationComplexity theory]]

** [[Information theory]]
** [[Outline of cryptography | Cryptography]]

* [[Computational mathematics]]

** [[Approximation theory]]

** [[Numerical analysis]]

** [[Computational neuroscience]]

** [[Computational social science]]

* [[Mathematical optimization]]

* [[Probability]]:

** [[Convex programming]]

** [[Nonlinear programming]]

** [[Control theory]]

* [[Dynamical systems]]:

** [[Linear system | Linear systems]]

** [[Bifurcation theory]]

** [[Chaos theory]]

** [[Symbolic dynamics]]

** [[Graph dynamical system | Graph dynamical systems]]

* [[Probability]]:

** [[Probability theory]]

** [[StatisticsStochastic 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]]

* [[FinancialMathematical mathematicseconomics]]

* [[Mathematical psychology]]

* [[Mathematical sociology]]

== History of applied mathematics ==

: ''Main article:* [[History of applied mathematics]]''

== General appliedApplied mathematics conceptseducation ==

== Applied mathematics listsorganizations ==

== Applied mathematics scholarspublications ==

== EssencePersons ofinfluential in applied mathematics ==

* [[Ilan Amit]]

* [[Neal Amundson]]

* [[Rutherford Aris]]

* [[Richard E. Bellman]]

* [[Michael P. Brenner]]

* [[Dorje C. Brody]]

* [[Peter Chadwick (mathematician)|Peter Chadwick]]

* [[Jacqueline Chen]]

* [[David Clark Dobson]]

* [[Kenneth M. Golden]]

* [[Anne Greenbaum]]

* [[Douglas C. Heggie]]

* [[James Keener]]

* [[David E. Keyes]]

* [[Andrei Knyazev (mathematician)|Andrei Knyazev]]

* [[Tamara G. Kolda]]

* [[Rachel Kuske]]

* [[Elisabeth Larsson (scientific computing)|Elisabeth Larsson]]

* [[Graeme Milton]]

* [[Jean Morlet]]

* [[Jorge Nocedal]]

* [[W. Harmon Ray]]

* [[Claudia Sagastizábal]]

* [[Edriss Titi]]

* [[E. T. Whittaker]]

* [[Karen Willcox]]

== Leaders inGeneral applied mathematics concepts ==

* [[Structural complexity (applied mathematics)]]

== See also ==

{{portal|Mathematics}}

== Applied mathematics lists ==

: ''Main article: [[List of applied mathematics topics]]''

{{see* also|[[Outline of applied mathematics}} ]]

== See alsoReferences ==

{{Reflist}}

* [[List of basic mathematics topics]]

== External links ==

{{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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