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Catalogue Information
Field name	Details
Dewey Class	515.9
Title	A Complex Analysis Problem Book ([EBook]) / by Daniel Alpay.
Author	Alpay, Daniel
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2016.
Publication	Cham : Springer International Publishing , 2016.
Physical Details	X, 596 pages : online resource.
ISBN	9783319421810
Summary Note	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.:
Contents note	Part I Complex Numbers -- Complex Numbers: Algebra -- Complex Numbers: Geometry -- Complex Numbers and Analysis -- Part II Functions of a Complex Variable -- Cauchy–Riemann Equations and C-differentiable Functions -- Cauchy’sTheorem -- Morera, Liouville, Schwarz, et les autres: First Applications -- Laurent Expansions, Residues, Singularities and Applications -- Computations of Definite Integrals Using the Residue Theorem -- Part III Applications and More Advanced Topics -- Harmonic Functions -- Conformal Mappings -- A Taste of Linear System Theory and Signal Processing -- Rational Functions -- Special Functions and Transforms -- Part IV Appendix -- Some Topology -- Some Functional Analysis Essentials -- A Brief Survey of Integration.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-42181-0
Links to Related Works	Subject References: Functions of a Complex Variable . Functions of complex variables . Mathematics . Authors: Alpay, Daniel . Corporate Authors: SpringerLink (Online service) . Classification: 515.9 . 515.9 (DDC 23) .

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A Complex Analysis Problem Book

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