A Complex Analysis Problem Book Second Edition

English | 2016 | PDF | 3 MB | 592 Pages

by 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.

ISBNs: 3319421794, 2092132172, 2932962973, 9783319421797, 9783319421810, 978-3319421797, 978-3319421810