Function approximations, interpolation, numerical differentiation and
numerical integrations are very important topics in the numerical analysis. These
topics are widely used and found in science and engineering applications. In the
present chapter, we will present the main methods and techniques that had been
developed for such topics. Differentiation and integration related together by so many
relations as we will see later on. Finally, one can say that these topics are very
important in our daily life, and therefore everyone should be aware of them.
Keywords: Derivative approximations, Difference tables, Interpolation, Lagrange
method, Numerical differentiation, Numerical integration, Series tests, Taylor
expansion.
