Based on a successful course at Oxford University, this book gives an authoritative introduction to numerical analysis. It is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour. Numerous exercises are provided.
Based on a successful course at Oxford University, this book gives an authoritative introduction to numerical analysis. It is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour. Numerous exercises are provided.
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.
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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'The book is easy to read. It flows smoothly and I would consider it to be well worth the money and a useful update to the literature.' Mathematics Today
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