The book gives an informal introduction to mathematical and computational principles governing numerical analysis, as well as practical guidelines for using over 130 elaborate numerical analysis routines. It develops detailed formulas for both standard and rarely found algorithms, including many variants for linear and non-linear equation solvers, one- and two-dimensional splines of various kinds, numerical quadrature and cubature formulas of all known stable orders, and stable IVP and BVP solvers, even for stiff systems of differential equations.

这本书给出了一个数学和计算原理的非正式介绍，指导数值分析，以及使用超过130个复杂的数值分析例程的实用指南。它为标准算法和很少发现的算法开发了详细的公式，包括线性和非线性方程解算器的许多变体、各种一维和二维样条曲线、所有已知稳定阶的数值求积和容积公式，以及稳定IVP和BVP解算器，甚至是刚性微分方程组。