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Concise Numerical Mathematics

About this Title

Robert Plato, Technical University of Berlin, Berlin, Germany. Translated by Richard Le Borne and Sabine Le Borne

Publication: Graduate Studies in Mathematics
Publication Year: 2003; Volume 57
ISBNs: 978-0-8218-3414-5 (print); 978-1-4704-2103-8 (online)
DOI: https://doi.org/10.1090/gsm/057
MathSciNet review: MR1974315
MSC: Primary 65-01

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Interpolation by polynomials
• Chapter 2. Spline functions
• Chapter 3. The discrete Fourier transform and its applications
• Chapter 4. Solution of linear systems of equations
• Chapter 5. Nonlinear systems of equations
• Chapter 6. The numerical integration of functions
• Chapter 7. Explicit one-step methods for initial value problems in ordinary differential equations
• Chapter 8. Multistep methods for initial value problems of ordinary differential equations
• Chapter 9. Boundary value problems for ordinary differential equations
• Chapter 10. Jacobi, Gauss-Seidel and relaxation methods for the solution of linear systems of equations
• Chapter 11. The conjugate gradient and GMRES methods
• Chapter 12. Eigenvalue problems
• Chapter 13. Numerical methods for eigenvalue problems
• Chapter 14. Peano’s error representation
• Chapter 15. Approximation theory
• Chapter 16. Computer arithmetic