Editing Real analysis (section)

{{distinguish|Reanalysis}}
{{short description|Mathematics of real numbers and real functions}}
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{{Math topics TOC}}
In [[mathematics]], the branch of '''real analysis''' studies the behavior of [[real number]]s, [[sequence]]s and [[Series (mathematics)|series]] of real numbers, and [[real function]]s.<ref>{{Cite web|url=https://www.math.ucla.edu/~tao/resource/general/131ah.1.03w/week1.pdf|title=Lecture notes for MATH 131AH|last=Tao|first=Terence|date=2003|website=Course Website for MATH 131AH, Department of Mathematics, UCLA}}</ref> Some particular properties of real-valued sequences and functions that real analysis studies include [[Convergent series|convergence]], [[limit (mathematics)|limits]], [[continuous function|continuity]], [[smoothness]], [[derivative|differentiability]] and [[integral|integrability]].

Real analysis is distinguished from [[complex analysis]], which deals with the study of [[complex number]]s and their functions.