Add to ORKGAbstract. This discussion covers the material from the second of three talks. In the first discussion, we went over some of the highlights of elementary functional analysis that we will need for this talk and the next talk. In this discussion we are interested in integration. Both as a tool and as an object of interest in its own right, the notion of the integral has been of profound interest. We are most familiar with the Riemann integral defined for appropriate functions on some subset of the real line. We may have seen generalizations of this to Rn, and to larger classes of functions via Lebesgue theory. There are two properties that we wish to highlight: 1) The output of a given (definite) integral is an extended complex number. In part...
