E-raamat: Computational Functional Analysis

Written for senior undergraduate and first-year graduate students, this introduces functional analysis tools and prepares readers for further studies in numerical mathematics of mathematical modeling. Moore (computer and information science, Ohio State U.) and Cloud (electrical and computer engineering, Lawrence Technological U.) offer more than 100 exercise while covering linear spaces, topological spaces, metric spaces, normed linear spaces and Banach spaces, inner product spaces and Hilbert spaces, linear functionals, types of convergence in function space, reproducing kernel Hilbert spaces, order relations in function spaces, operators in function space, completely continuous operators, approximation methods for linear operator equations, interval methods for operator equations, contraction mappings and iterative methods, Newton's method in Banach spaces, variants of Newton's methods, and homotopy and continuation methods and a hybrid method for a free-boundary problem. Distributed by ISBS. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)