Editing Mathematical analysis (section)

{{short description|Branch of mathematics}}
{{use dmy dates|date=May 2021|cs1-dates=y}}
{{Math topics TOC}}

[[File:Attracteur étrange de Lorenz.png|thumb|upright=1.2|A [[strange attractor]] arising from a [[differential equation]]. Differential equations are an important area of mathematical analysis with many applications in science and engineering.]]
'''Analysis''' is the branch of [[mathematics]] dealing with [[continuous function]]s, [[limit (mathematics)|limit]]s, and related theories, such as [[Derivative|differentiation]], [[Integral|integration]], [[measure (mathematics)|measure]], [[infinite sequence]]s, [[series (mathematics)|series]], and [[analytic function]]s.<ref>[[Edwin Hewitt]] and Karl Stromberg, "Real and Abstract Analysis", Springer-Verlag, 1965</ref><ref name="Stillwell_Analysis"/>

These theories are usually studied in the context of [[Real number|real]] and [[Complex number|complex]] numbers and [[Function (mathematics)|functions]]. Analysis evolved from [[calculus]], which involves the elementary concepts and techniques of analysis.
Analysis may be distinguished from [[geometry]]; however, it can be applied to any [[Space (mathematics)|space]] of [[mathematical object]]s that has a definition of nearness (a [[topological space]]) or specific distances between objects  (a [[metric space]]).