A comprehensive graduate textbook that introduces functional
analysis with an emphasis on the theory of linear operators and its
application to differential equations, integral equations, infinite
systems of linear equations, approximation theory, and numerical
analysis. As a textbook designed for senior undergraduate and
graduate students, it begins with the geometry of Hilbert spaces
and proceeds to the theory of linear operators on these spaces
including Banach spaces. Presented as a natural continuation of
linear algebra, the book provides a firm foundation in operator
theory which is an essential part of mathematical training for
students of mathematics, engineering, and other technical sciences.
General
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