This second edition presents a collection of exercises on the
theory of analytic functions, including completed and detailed
solutions. It introduces students to various applications and
aspects of the theory of analytic functions not always touched on
in a first course, while also addressing topics of interest to
electrical engineering students (e.g., the realization of rational
functions and its connections to the theory of linear systems and
state space representations of such systems). It provides examples
of important Hilbert spaces of analytic functions (in particular
the Hardy space and the Fock space), and also includes a section
reviewing essential aspects of topology, functional analysis and
Lebesgue integration. Benefits of the 2nd edition Rational
functions are now covered in a separate chapter. Further, the
section on conformal mappings has been expanded.
General
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