This highly successful and scholarly book introduces students with diverse backgrounds to the various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with careful proofs and scientific background.

Preface.

Mathematical Preliminaries.

Computer Arithmetic.

Solution of Nonlinear Equations.

Solving Systems of Linear Equations.

Selected Topics in Numerical Linear Algebra.

Approximating Functions.

Numerical Differentiation and Integration.

Numerical Solution of Ordinary Differential Equations.

Numerical Solution of Partial Differential Equations.

Linear Programming and Related Topics.

Appendix. Index.

Other Editions for Numerical Analysis : Mathematics of Scientific Computing

This highly successful and scholarly book introduces students with diverse backgrounds to the various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with careful proofs and scientific background.

Table of Contents

Preface.

Mathematical Preliminaries.

Computer Arithmetic.

Solution of Nonlinear Equations.

Solving Systems of Linear Equations.

Selected Topics in Numerical Linear Algebra.

Approximating Functions.

Numerical Differentiation and Integration.

Numerical Solution of Ordinary Differential Equations.

Numerical Solution of Partial Differential Equations.