The Resource A Complex Analysis Problem Book, by Daniel Alpay, (electronic resource)
A Complex Analysis Problem Book, by Daniel Alpay, (electronic resource)
Resource Information
The item A Complex Analysis Problem Book, by Daniel Alpay, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item A Complex Analysis Problem Book, by Daniel Alpay, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 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.
 Language
 eng
 Edition
 2nd ed. 2016.
 Extent
 1 online resource (X, 596 pages)
 Contents

 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 Cdifferentiable 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
 Isbn
 9783319421810
 Label
 A Complex Analysis Problem Book
 Title
 A Complex Analysis Problem Book
 Statement of responsibility
 by Daniel Alpay
 Language
 eng
 Summary
 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Alpay, Daniel
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer eBooks
 http://library.link/vocab/subjectName

 Mathematics
 Functions of complex variables
 Label
 A Complex Analysis Problem Book, by Daniel Alpay, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 Cdifferentiable 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
 Control code
 9783319421810
 Dimensions
 unknown
 Edition
 2nd ed. 2016.
 Extent
 1 online resource (X, 596 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319421810
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319421810
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1026451028
 Label
 A Complex Analysis Problem Book, by Daniel Alpay, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 Cdifferentiable 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
 Control code
 9783319421810
 Dimensions
 unknown
 Edition
 2nd ed. 2016.
 Extent
 1 online resource (X, 596 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319421810
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319421810
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1026451028
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AComplexAnalysisProblemBookbyDanielAlpay/XQKBfNTqJ_Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AComplexAnalysisProblemBookbyDanielAlpay/XQKBfNTqJ_Y/">A Complex Analysis Problem Book, by Daniel Alpay, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>