Numerical Methods

by Germund Dahlquist, Åke Björck

Overview

"Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served." — MathSciNet (Mathematical Reviews on the Web), American Mathematical Society. Practical text strikes fine balance between students' requirements for theoretical treatment and needs of practitioners, with best methods for large- and small-scale computing. Prerequisites are minimal (calculus, linear algebra, and preferably some acquaintance with computer programming). Text includes many worked examples, problems, and an extensive bibliography.

Product Details

ISBN-13:	9780486428079
Publisher:	Dover Publications
Publication date:	04/25/2003
Series:	Dover Books on Mathematics
Edition description:	Reprint
Pages:	592
Product dimensions:	5.50(w) x 8.50(h) x (d)

Table of Contents

Preface. Conventions.
1. Some General Principles of Numerical Calculation.
2. How to Obtain and Estimate Accuracy in Numerical Calculations.
3. Numerical Uses of Series.
4. Approximation of Functions.
5. Numerical Linear Algebra.
6. Nonlinear Equations.
7. Finite Differences with Applications to Numerical Integration, Differentiation and Interpolation.
8. Differential Equations.
9. Fourier Methods.
10. Optimization.
11. The Monte Carlo Method and Simulation.
12. Solutions to Problems.
13. Bibliography and Published Algorithms.
Appendix Tables. Index.

Editorial Reviews

"Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served."

From the Publisher