Editing Mathematical analysis (section)

== Other topics ==
* [[Calculus of variations]] deals with extremizing [[functional (mathematics)|functionals]], as opposed to ordinary [[calculus]] which deals with [[function (mathematics)|functions]].
* [[Harmonic analysis]] deals with the representation of [[function (mathematics)|functions]] or signals as the [[superposition principle|superposition]] of basic [[wave]]s.
* [[Geometric analysis]] involves the use of geometrical methods in the study of [[partial differential equation]]s and the application of the theory of partial differential equations to geometry.
* [[Clifford analysis]], the study of Clifford valued functions that are annihilated by Dirac or Dirac-like operators,  termed in general as monogenic or Clifford analytic functions.
* [[p-adic analysis|''p''-adic analysis]], the study of analysis within the context of [[p-adic number|''p''-adic numbers]], which differs in some interesting and surprising ways from its real and complex counterparts.
* [[Non-standard analysis]], which investigates the [[hyperreal number]]s and their functions and gives a [[rigour#Mathematical rigour|rigorous]] treatment of [[infinitesimal]]s and infinitely large numbers.
* [[Computable analysis]], the study of which parts of analysis can be carried out in a [[computability theory|computable]] manner.
* [[Stochastic calculus]] – analytical notions developed for [[stochastic processes]].
* [[Set-valued analysis]] – applies ideas from analysis and topology to set-valued functions.
* [[Convex analysis]], the study of convex sets and functions.
* [[Idempotent analysis]] – analysis in the context of an [[idempotent semiring]], where the lack of an additive inverse is compensated somewhat by the idempotent rule A&nbsp;+&nbsp;A&nbsp;=&nbsp;A.
** [[Tropical analysis]]  – analysis of the idempotent semiring called the [[tropical semiring]] (or [[max-plus algebra]]/[[min-plus algebra]]).
* [[Constructive analysis]], which is built upon a foundation of [[constructive logic|constructive]], rather than classical, logic and set theory.
* [[Intuitionistic analysis]], which is developed from constructive logic like constructive analysis but also incorporates [[choice sequence]]s.
* [[Paraconsistent analysis]], which is built upon a foundation of [[paraconsistent logic|paraconsistent]], rather than classical, logic and set theory.
* [[Smooth infinitesimal analysis]], which is developed in a smooth topos.