An important part of more substantial work with numerical methods. Numerical analysis is replete with approximation methods, and inherent in any approximation is some amount of error. Often it is important to quantify this.

A fundamental part of calculus. The numerical methods presented in this chapter required only a primitive understanding of derivatives. However, for many numerical methods, a more complete understanding of derivatives and calculus is essential.

An algorithm for finding both the real and complex roots of equations. Complex roots are complex numbers, which result from taking the square root of negative numbers. This chapter focused on finding real roots.