Preliminaries; Table of Contents; 1 Introduction; 2 Introduction to Metric Spaces; 3 Energy Spaces and Generalized Solutions; 4 Approximation in a Normed Linear Space; 5 Elements of the Theory of Linear Operators; 6 Compactness and Its Consequences; 7 Spectral Theory of Linear Operators; 8 Applications to Inverse Problems; Index
Summary
This is a book for people who want to use functional analysis to justify approximate methods in mechanics and inverse problems. It provides such researchers with the tools they need without having to assimilate or skip through concepts they do not need
