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First Steps in Numerical Analysis, originally published in 1978, is now in its twelfth impression. It has been widely used in schools, polytechnics, and universities throughout the world. However, we decided that after a life of seventeen years in the classroom and lecture theatre, the contents of the book should be reviewed.
Feedback from many users, both teachers and students, could be incorporated and the development of the subject suggested that some new topics might be included.
This Second Edition of the book is the outcome of our consideration of these matters.
The changes we have made are not very extensive, which reflects our view that the syllabus for a first course in Numerical Analysis must continue to include most of the basic topics in the First Edition. However, the result of rapid changes in computer technology is that some aspects are obviously less important than they were, and other topics have become more important. We decided that less should be said about finite differences, for example, but more should be said about systems of linear equations and matrices. New material has been added on curve
fitting (for example, use of splines), and more has been given on the solution of differential equations. The total number of Steps has increased from 31 to 35.
For the benefit of both teachers and students, additional exercises have been set at the end of many of the Steps, and brief answers again supplied. Also, a set of Applied Exercises has been included, to challenge students to apply numerical methods in the context of ‘real world’ applications. To make it easier for users to implement the given algorithms in a computer program, the flowcharts in the Appendix of the First Edition have been replaced by pseudo-code. The method of organizing the material into STEPS (of a length suitable for presentation in one or two hours) has been retained, for this has been a popular feature of the book