Description 
xiv, 453 pages : illustrations ; 27 cm 
Series 
Graduate studies in mathematics, 10657339 ; 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, GaussSeidel 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 wellchosen 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 443447) and index 
Notes 
Translated from the German 

Graduate studies in mathematics no:57 10657339 
Subject 
Numerical analysis.

Author 
American Mathematical Society.

LC no. 
2002033010 
ISBN 
9780821829530 acidfree paper 

082182953X acidfree paper 

0821834142 softcover acidfree paper 
