Applied Functional Analysis

Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces. The final two chapters provide readers with an in-depth look at the theory of Banach and Hiibert spaces before concluding with a brief introduction to Spectral Theory. New to the Third Edition, New sections on variational formulations and Closed Range Theorem for closed operators, Significant expansion of Closed Range Theorem in Banach spaces, Extended examinations of topology and exposition of Schwartz's spaces of test functions, Final two chapters have been heavily revised, The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.