Editing Lists of mathematics topics (section)

===Applied mathematics===

====Dynamical systems and differential equations====
[[File:Limitcycle.svg|right|200px|thumb|Phase portrait of a continuous-time dynamical system, the [[Van der Pol oscillator]].]]
A [[differential equation]] is an equation involving an unknown function and its derivatives.

In a [[dynamical system]], a fixed rule describes the time dependence of a point in a geometrical space. The mathematical models used to describe the swinging of a clock pendulum, the flow of water in a pipe, or the number of fish each spring in a lake are examples of dynamical systems.
* [[List of dynamical systems and differential equations topics]]
* [[List of nonlinear partial differential equations]]
* [[List of partial differential equation topics]]

====Mathematical physics====
[[Mathematical physics]] is concerned with "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories".{{ref|1|1}}
* [[List of mathematical topics in classical mechanics]]
* [[List of mathematical topics in quantum theory]]
* [[List of mathematical topics in relativity]]
* [[List of string theory topics]]
* [[Index of wave articles]]

====Theory of computation====
[[File:Raytraced image jawray.jpg|thumb|200px|right|[[Ray tracing (graphics)|Ray tracing]] is a process based on [[computational mathematics]].]]
The fields of mathematics and computing intersect both in [[computer science]], the study of algorithms and data structures, and in [[scientific computing]], the study of algorithmic methods for solving problems in mathematics, science, and engineering.
* [[List of algorithm general topics]]
* [[List of computability and complexity topics]]
* Lists for computational topics in geometry and graphics
** [[List of combinatorial computational geometry topics]]
** [[List of computer graphics and descriptive geometry topics]]
** [[List of numerical computational geometry topics]]
* [[List of computer vision topics]]
* [[List of formal language and literal string topics]]
* [[List of numerical analysis topics]]
* [[List of terms relating to algorithms and data structures]]

====Information theory and signal processing====
[[Information theory]] is a branch of [[applied mathematics]] and [[social science]] involving the quantification of [[information]]. Historically, information theory was developed to find fundamental limits on compressing and reliably [[communication|communicating]] data.

[[Signal processing]] is the analysis, interpretation, and manipulation of [[Signal (electrical engineering)|signal]]s. Signals of interest include [[Audio signal processing|sound]], [[image processing|images]], biological signals such as [[ECG]], [[radar]] signals, and many others. Processing of such signals includes [[Filter (signal processing)|filtering]], storage and reconstruction, separation of information from [[noise]], [[Data compression|compression]], and [[feature extraction]].
* [[List of algebraic coding theory topics]]
* [[List of information theory topics]]
* [[Wikipedia:WikiProject Cryptography/List of cryptography topics|List of cryptography topics]]

====Probability and statistics====
[[File:Normal approximation to binomial.svg|200px|right|thumb|The "bell curve"—the probability density function of the [[normal distribution]].]]
{{Main|Lists of statistics topics}}
[[Probability theory]] is the formalization and study of the mathematics of uncertain events or knowledge. The related field of [[mathematical statistics]] develops [[statistical theory]] with mathematics. [[Statistics]], the science concerned with collecting and analyzing data, is an autonomous discipline (and not a subdiscipline of [[applied mathematics]]).
* [[Catalog of articles in probability theory]]
* [[List of probability topics]]
* [[List of stochastic processes topics]]
* [[List of probability distributions]]
* [[List of statistics topics]]
* [[Outline of regression analysis]]

====Game theory====
[[Game theory]] is a branch of [[mathematics]] that uses [[model (abstract)|models]] to study interactions with formalized incentive structures ("games"). It has applications in a variety of fields, including [[economics]], [[anthropology]], [[political science]], [[social psychology]] and [[military strategy]].
* [[Glossary of game theory]]
* [[List of games in game theory]]

====Operations research====
[[Operations research]] is the study and use of mathematical models, statistics, and algorithms to aid in decision-making, typically with the goal of improving or optimizing the performance of real-world systems.
* [[List of knapsack problems]]
* [[List of network theory topics]]