A Complex Analysis Problem Book

A Complex Analysis Problem Book

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Description

This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed.

ISBN

978-3-0348-0078-5

Publication Date

2011

Publisher

Springer

City

Basel, Switzerland

Disciplines

Algebra | Discrete Mathematics and Combinatorics | Other Mathematics

Comments

This text is only partially available through the link provided; some pages are not included. Please visit your local library or purchase the book through the "Buy This Book" link above to read the full text.

Copyright

Springer Basel

A Complex Analysis Problem Book

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