This concise treatment of integral equations has long stood as a
standard introduction to the subject. Hochstadt's presentation
comprises a reasonable compromise between the precise, but lengthy,
classical approach and the faster, but less productive, functional
analytic approach, while developing the most desirable features of
each. The 7 chapters present an introduction to integral equations,
elementary techniques, the theory of compact operators,
applications to boundary value problems in more than dimension, a
complete treatment of numerous transform techniques, a development
of the classical Fredholm technique, and application of Schauder
fixed point theorem to nonlinear equations.
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