This book is concerned with the application of numerical methods to solve mathematical problems in engineering and the applied sciences. The approach is simple, straightforward and 'physical', explaining the matter of the methods, what is good about them, their limitations, and the conditions under which they might misbehave. Thus, although the book is mathematically correct, mathematical rigour is de-emphasised: explanations are developed from a practical point of view. The book thus fills a gap in the literature where there is a lack of texts which take this approach to numerical methods. The concept is to help engineering students, practising engineers, and applied scientists, understand the physical process of the methods. There are hints on programming and a number of programs are also provided.
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