chapter  19
Riemann Integration
ByRavi P. Agarwal, Peter Cristina, O’Regan Donal
Pages 10

In this and the next chapters, we will provide a rigorous treatment of the Riemann integral which is usually encountered in beginning calculus courses where the emphasis is placed on computational and operational aspects of the integral. The main purpose of this chapter is to provide necessary and/or sufficient conditions for a function to be Riemann integrable. We begin with some definitions.