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 andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included.

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George M. Phillips is Reader in Mathematics at the University of St. Andrews, UK. His longstanding collaboration in mathematics has encompassed both teaching and research. Both authors have published many papers in numerical analysis and approximation theory.

Peter J. Taylor is a retired Senior Lecturer from the University of Strathclyde, UK. His longstanding collaboration in mathematics has encompassed both teaching and research. Both authors have published many papers in numerical analysis and approximation theory.

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