Publisher's Synopsis
A text which deals with computational numerical methods in such a way that students of computer science, mathematics and engineering can understand without resorting to rigorous mathematics. It provides coverage of root-finding, linear systems of equations, approximation, quadrature and ordinary differential equations traditionally regarded as core components of numerical analysis courses, and illustrates the relative performance of various numerical methods within these areas, indicating the class of problems for which each method is likely to perform well.;The text is interspersed with several computer programs which, possibly in an amended form, the user can execute in order to obtain further insight into the numerical methods. Two versions of each program, in ALGOL 68 and in PASCAL, are provided; many of these can be translated with ease into other programming languages.;Assuming a working knowledge of either ALGOL 68 or PASCAL, the book also illustrates the way the constructs of the two languages may be used. Furthermore, the programs provide examples of techniques which are frequently used in the development of numerical software. The authors indicate how the schemes outlined in the book may be extended, giving references to some of the facilities available in the Numerical Algorithms Group (NAG) library, and also to advanced texts which can be used for further study.
