A Complex Analysis Problem Book (Second Edition)
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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.
ISBN
978-3-319-42181-0
Publication Date
2016
Publisher
Springer
City
Basel, Switzerland
Disciplines
Algebra | Discrete Mathematics and Combinatorics | Other Mathematics
Recommended Citation
D. Alpay. A Complex analysis problem book (2nd ed.). 2016. Basel, Switzerland: Springer.
Copyright
Springer
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.