Theoretical Numerical Analysis

This text covers the basics of functional analysis and also some additional topics in numerical analysis. It is suitable for graduate courses in numerical analysis in mathematics, engineering, physics, chemistry, and related departments and is useful for researchers in these areas.

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This book gives an introduction to functional analysis for graduate students pursuing research involving numerical analysis. The text covers basic results of functional analysis as well as additional topics needed in theoretical numerical analysis. Applications of this functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. Extensive exercises are included at the end of each section along with recommendations for additional reading. This book is especially suited to students interested in the numerical solution of differential and/or integral equations, but it will appeal to numerical analysts and mathematically-oriented students and researchers in engineering, physics, and related areas.