Linear Analysis: Connection to Traditional Analysis

[pivoxa15]

How is it connected to more traditional anlysis. I view analysis as epsilon delta stuff. But topics in linear anlaysis like measure theory and functional analysis seem to involve richer stuff like set theory which borders topology.

 

[HallsofIvy]

I've never heard of "linear analysis" (I have heard of non-linear analysis). The things you mention are all part of "functional analysis" which, since it involves sets of functions does, indeed, use much more topology.