An Introduction to Numerical Analysis / Edition 1

by Endre Süli, David F. Mayers

Overview

This textbook is written primarily for undergraduate mathematicians and also appeals to students working at an advanced level in other disciplines. The text begins with a clear motivation for the study of numerical analysis based on real-world problems. The authors then develop the necessary machinery including iteration, interpolation, boundary-value problems and finite elements. Throughout, the authors keep an eye on the analytical basis for the work and add historical notes on the development of the subject. There are numerous exercises for students.

Product Details

ISBN-13:	9780521007948
Publisher:	Cambridge University Press
Publication date:	08/28/2003
Edition description:	New Edition
Pages:	444
Product dimensions:	5.98(w) x 8.90(h) x 0.98(d)

Table of Contents

1. Solution of equations by iteration; 2. Solution of systems of linear equations; 3. Special matrices; 4. Simultaneous nonlinear equations; 5. Eigenvalues and eigenvectors of a symmetric matrix; 6. Polynomial interpolation; 7. Numerical integration - I; 8. Polynomial approximation in the ∞-norm; 9. Approximation in the 2-norm; 10. Numerical integration - II; 11. Piecewise polynomial approximation; 12. Initial Value Problems for ODEs; 13. Boundary Value Problems for ODEs; 14. The Finite Element Method; Appendix 1. An overview of results from real analysis; Appendix 2. WWW-resources.

Editorial Reviews

"This book is a solid text in the basics of numerical mathematics, using more of a theoretical background than most. If you are looking for a book to use in a course in numerical analysis where there is an emphasis on the theoretical background, then this one will serve your needs." Journal of Recreational Mathematics

"carefully written with a good level of rigor" SIAM Review

From the Publisher