| Description |
xiv, 453 pages : illustrations ; 27 cm |
| Series |
Graduate studies in mathematics, 1065-7339 ; v. 57 |
|
Graduate studies in mathematics ; v. 57
|
| Contents |
Ch. 1. Interpolation by Polynomials -- Ch. 2. Spline Functions -- Ch. 3. The Discrete Fourier Transform and Its Applications -- Ch. 4. Solution of Linear Systems of Equations -- Ch. 5. Nonlinear Systems of Equations -- Ch. 6. The Numerical Integration of Functions -- Ch. 7. Explicit One Step Methods for Initial Value Problems in Ordinary Differential Equations -- Ch. 8. Multistep Methods for Initial Value Problems of Ordinary Differential Equations -- Ch. 9. Boundary Value problems for Ordinary Differential Equations -- Ch. 10. Jacobi, Gauss-Seidel and Relaxation Methods for the Solution of Linear Systems of Equations -- Ch. 11. The Conjugate Gradient and GMRES Methods -- Ch. 12. Eigenvalue Problems -- Ch. 13. Numerical Methods for Eigenvalue Problems -- Ch. 14. Peano's Error Representation -- Ch. 15. Approximation Theory -- Ch. 16. Computer Arithmetic |
| Summary |
"This textbook is a concise introduction to the fundamental concepts and methods of numerical mathematics. The author manages to cover the many important topics while avoiding redundancies and using well-chosen examples and exercises. The exposition is supplemented by numerous figures. Work estimates and pseudo codes are provided for many algorithms, which can be easily converted to computer programs. Topics covered include interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory, and computer arithmetic." "The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science. In general, the author assumes only a knowledge of calculus and linear algebra."--BOOK JACKET |
| Bibliography |
Includes bibliographical references (pages 443-447) and index |
| Notes |
Translated from the German |
|
Graduate studies in mathematics no:57 1065-7339 |
| Subject |
Numerical analysis.
|
| Author |
American Mathematical Society.
|
| LC no. |
2002033010 |
| ISBN |
9780821829530 acidfree paper |
|
082182953X acid-free paper |
|
0821834142 softcover acid-free paper |
|
