Designed as a text for a three-semester course in numerical analysis, this highly regarded work presents a broad overview of computer-oriented numerical algorithms for solving various types of mathematical problems. The book is intended not only to impart a working knowledge of practical techniques for solving real problems but to prepare the student for advanced studies at the graduate level.

Topics include:

Evaluation of elementary functions

Solution of a single nonlinear equation with specific reference to polynomial equations

Interpolation and approximation

Numerical differentiation and quadrature

Ordinary differential equations

Computational problems in linear algebra

Numerical solution of elliptic and parabolic partial differential equations by finite difference methods

Solution of large linear systems by iterative methods

In addition to thorough coverage of the fundamentals, these wide-ranging volumes contain such special features as an introduction to computer arithmetic, including an error analysis of a system of linear algebraic equations with rational coefficients, and an emphasis on computations as well as mathematical aspects of various problems.