Table of Contents

Preface xiii

1 Introductory Concepts and Calculus Review 1

2 A Survey of Simple Methods and Tools 43

3 Root-Finding 89

4 Interpolation and Approximation 171

5 Numerical Integration 269

6 Numerical Methods for Ordinary Differential Equations 329

7 Numerical Methods for the Solution of Systems of Equations 417

8 Approximate Solution of the Algebraic Eigenvalue Problem 479

9 A Survey of Numerical Methods for Partial Differential Equations 521

10 An Introduction to Spectral Methods 555

Appendix A: Proofs of Selected Theorems, and Other Additional Material 581

Index 587

About the Author

JAMES F. EPPERSON, PhD, is Associate Editor of Mathematical Reviews for the American Mathematical Society. He was previously associate professor in the Department of Mathematics at The University of Alabama in Huntsville and assistant professor at the University of Georgia in Athens. He earned his doctorate at Carnegie Mellon University in Pittsburgh and his undergraduate degree from the College of Engineering at the University of Michigan, Ann Arbor.

Reviews

This is an excellent textbook for a numerical analysiscourse although it will be difficult to cover all the material injust one course. Because the text is so complete, it could aswell be used for self-study. (American MathematicalSociety, 1 August 2014)