Burden R.L., Faires J.D. Numerical Analysis

Cengage Learning, 2001, 850 pp. , 7 edition.
Mathematical preliminaries.
solutions of equations in one variable.
interpolation and polynomial approximation.
numerical differentiation and integration.
initial-Value problems for ordinary differential equations.
direct methods for solving linear systems.
iterative techniques in matrix algebra.
approximation theory.
approximating eigenvalues.
numerical solutions of nonlinear systems of equations.
boundary-Value problems for ordinary differential equations.
numerical solutions to partial differential equations.
software.answers to selected exercises.