This text features the principles involved in numerical analysis. Its main theme is interpolation of the standpoint of finite differences, least squares theory, and harmonic analysis. Also covers the numerical solutions of ordinary differential equations and approximation through Fourier series. Over ...
Suitable for courses in functional analysis and a valuble resource for researchers, this introductory treatment is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. 1988 edition.