Includes bibliographical references and index.

Introduction to functional analysis -- Banach spaces -- Hilbert spaces -- Linear operators and functionals -- Spectral theory -- Compact operators -- Applications to differential equations -- Applications to numerical methods -- Additional topics in applied functional analysis.

A comprehensive introduction to functional analysis with a focus on applications for scientists and engineers. Covers fundamental concepts such as Banach and Hilbert spaces, linear operators, spectral theory, and applications to differential equations and numerical methods. Designed for upper-level undergraduates, graduate students, and applied mathematicians seeking a practical understanding of functional analysis in real-world problems.