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.Read more
- Class tested and based on a course taught by the authors at Oxford University
- Motivational and contextual material brings the subject alive
- Can be used as a reference by those working in other fields
Reviews & endorsements
"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 MathematicsSee more reviews
"carefully written with a good level of rigor" SIAM Review
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- Date Published: September 2003
- format: Paperback
- isbn: 9780521007948
- length: 444 pages
- dimensions: 226 x 152 x 25 mm
- weight: 0.66kg
- contains: 100 b/w illus. 3 colour illus.
- availability: Available
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.
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