Elementary Numerical Analysis: An Algorithmic Approach Updated with MATLAB

This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

Audience: The intended audience is upper-division undergraduates in engineering, mathematics, and the sciences, including computer science. The book has served well as a text book.

Contents: Preface to the Classics Edition; Preface; Errata; Introduction; Chapter 1: Number Systems and Errors; Chapter 2: Interpolation by Polynomial; Chapter 3: The Solution of Nonlinear Equations; Chapter 4: Matrices and Systems of Linear Equations; Chapter 5: Systems of Equations and Unconstrained Optimization; Chapter 6: Approximation; Chapter 7: Differentiation and Integration; Chapter 8: The Solution of Differential Equations; Chapter 9: Boundary Value Problems; Appendix: Subroutine Libraries; Appendix: New MATLAB Programs; References; Index.