A Complex Analysis Problem Book

Daniel Alpay

ISBN 10: 3319421794 / ISBN 13: 9783319421797

Published by Birkhäuser, Springer, 2016

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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 editionRational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.

Seller Inventory # 9783319421797

Bibliographic Details

• Title: A Complex Analysis Problem Book
• Publisher: Birkhäuser, Springer
• Publication Date: 2016
• Language: English
• ISBN 10: 3319421794
• ISBN 13: 9783319421797
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 240W x 168H x 33D millimeters 240 millimeters width by 168 millimeters height by 33 millimeters depth
• Weight: 1005 grams

About this title

Synopsis

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.

About the Author

Prof. Daniel Alpay is a faculty member of the department of mathematics at Ben-Gurion University, Beer-Sheva, Israel. He is the incumbent of the Earl Katz Family chair in algebraic system theory. He has a double formation of electrical engineer (Telecom Paris, graduated 1978) and mathematician (PhD, Weizmann Institute, 1986). His research includes operator theory, stochastic analysis, and the theory of linear systems. Daniel Alpay is one of the initiators and responsible of the dual track electrical-engineering mathematics at Ben-Gurion University. He is the author of "An Advanced Complex Analysis Problem Book" (Birkhäuser, 2015). Together with co-authors, he has written seven books and close to 240 research papers, and edited fifteen books of research papers, and in particular the Springer Reference Work on Operator Theory.