Elementary Numerical Analysis: An Algorithmic Approach Updated with MATLAB (Classics in Applied Mathematics)

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.

Samuel D. Conte was a Professor of Computer Science and Mathematics at Purdue University. Starting in 1962, he led the Purdue Department of Computer Science for its first 17 years. Prior to that, Professor Conte served as the manager of the Math and Programming Department of the Aerospace Corporation, taught at Wayne State University, and was head of the Mathematics and Programming Departments at TRW Inc.

Carl de Boor is presently Professor emeritus of Mathematics and Computer Science at the University of Wisconsin-Madison and Affiliated Professor of Applied Mathematics at the University of Washington. His early work at the Mathematics Department of GM Research at Warren, MI led to his lifelong preoccupation with spline functions. He is the author of A Practical Guide to Splines and co-author of Box Splines. He is the recipient of the 2003 National Medal of Science in Mathematics and Computer Science in recognition of his contributions to scientific computing.