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This text is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics and the algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. It is a unique blend of theory and applications. It includes two brand new chapters on eigen values and splines, formal algorithms, numerous fully worked examples and a large number of problems, many with solutions.
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