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Description
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The objective of this book is for the reader to learn where approximation methods come from, why they work, why they sometimes don't work, and when to use which of many techniques that are available, and to do all this in a that emphasizes readability and usefulness to the numerical methods novice. Some of the concepts required for the study of computational mathematics are introduced, and simple approximations using Taylor's Theorem are treated in some depth. The exposition is intended to be lively and "student friendly". Exercises run the gamut from simple hand computations that might be characterized are "starter exercises", to challenging derivations and minor proofs, to programming exercises.
The Related Website ftp://ftp.wiley.com/public/sci_tech_med/numerical_methods provides a collection of program segments in a variety of computing languages.
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