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
Recommended Citation
D. Alpay. A Complex analysis problem book, (2011). Basel: Springer.
Copyright
Springer Basel
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.