Description In this third volume of \'A Course in Analysis\', two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.
In the first part measurable spaces and Measure spaces are introduced and Caratheodory\'s extension theorem is proved.
The Radon-Nikodym theorem and.
This is followed by the construction of the integral with respect to a measure, in particular with respect to the Lebesgue Measure in the Euclidean space.
Description In this third volume of \'A Course in Analysis\', two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.
In the first part measurable spaces and Measure spaces are introduced and Caratheodory\'s extension theorem is proved
