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.

1. Solution of Equations by Iteration 2. Solution of Systems of Linear Equations 3. Special Matrices 4. Wimultaneous Nonlinear Equations 5. Eigenvalues and Eigenvectors iof 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 A. An Overview of Results From Real Analysis Appendix B. WWW-Resources Bibliography

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