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 provides
readers with an in-depth look at the theory of Banach and Hilbert
spaces before concluding with a brief introduction to Spectral
Theory. 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.
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