With an introduction to the basic real analysis required to learn measure theory, the school aims to provide an understanding of the theory of integration on measure spaces. The school will discuss Riemann's theory of integration and its deficiencies. This study would, at the same time, develop an understanding of integration as a limit of sums and establish the requirement of a rather general theory of integration which may improve the Riemann's theory. After the introduction to Lebesgue measure and Lebesgue integral on R, the concept of measure space and measure integration would be studied. Topics such as Lp spaces and Riesz representation theorem are important from Functional analytic view point. A study of Riemann integration on R^n will be a starting point for the study of measure and integration on product spaces. The school will also emphasize deficiencies of Lebesgue integration which can be a motivation for the participants to study more general theories of integration such as Henstock and Kurzweil integral.

The participants of the school, who will be mostly lecturers, would get a better understanding of the theory of integration. While those teaching measure theory will get directly benefited, lecturers who are teaching Riemann integration would be able to exposee different aspects of the theory to their students.