A Complex Analysis Problem Book

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A Complex Analysis Problem Book image
ISBN-10:

3319421794

ISBN-13:

9783319421797

Author(s): Alpay, Daniel
Edition: 2nd ed. 2016
Released: Nov 04, 2016
Publisher: Birkhauser
Format: Paperback, 606 pages
Related ISBN: 9783034800778

Description:

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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