ABSTRACT

In this chapter we discuss some basic concepts and present results needed to study the numerical and computational aspects of integration. Proofs of most of the results can be found in standard textbooks on numerical analysis, and real and complex analysis. The notation used in this book, although standard, is presented prior to this chapter.

Let Rn denote the Euclidean n-space and R+ the set of nonnegative real numbers. The complement of a set B with respect to a set A is denoted by A\B, the product of the sets A and B by A×B, and the closure of a set A by A¯.