EAN: 9783319421797

A COMPLEX ANALYSIS PROBLEM BOOK - DANIEL ALPAY ...

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.

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