Editing Pointwise convergence (section)

{{Short description|A notion of convergence in mathematics}}
In [[mathematics]], '''pointwise convergence''' is one of [[Modes of convergence (annotated index)|various senses]] in which a [[sequence]] of [[function (mathematics)|function]]s can [[Limit (mathematics)|converge]] to a particular function. It is weaker than [[uniform convergence]], to which it is often compared.<ref>{{cite book|last=Rudin|first=Walter|authorlink=Walter Rudin|title=Principles of Mathematical Analysis|url=https://archive.org/details/principlesofmath00rudi|url-access=registration|publisher=[[McGraw-Hill]]|year=1976|isbn=0-07-054235-X}}</ref><ref>{{cite book|last=Munkres|first=James R.|authorlink=James Munkres|title=Topology|edition=2nd|publisher=[[Prentice Hall]]|year=2000|isbn=0-13-181629-2}}</ref>