Basic Topics in Integration Theory and Semigroups

This monograph presents some fundamentals in measure theory and integration. Specifically it is intended to make such fundamentals available in an appropriate less abstract form to be useful in many applications like real analysis integration and functional analysis. The principal point of view is to develop the basics of measure theory that lead to the concept of measurable functions and the integration of such functions. The elements are intended to be essentially self contained and accessible to well-trained under graduated students. The prerequisites are elementary standards from basic algebra. In writing this note we care about doing things as little abstract as possible. So to make easy the access to the main concepts each section of each chapter is illustrated by simple examples