skip to content
Complex analysis : in the spirit of Lipman Bers Preview this item
ClosePreview this item
Checking...

Complex analysis : in the spirit of Lipman Bers

Author: Rubí E Rodríguez; Irwin Kra; Jane Gilman
Publisher: New York, NY : Springer, ©2013.
Series: Graduate texts in mathematics, 245.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. Complex analysis has connections and  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Rodríguez, Rubí E.
Complex Analysis : In the Spirit of Lipman Bers.
Dordrecht : Springer, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Rubí E Rodríguez; Irwin Kra; Jane Gilman
ISBN: 9781441973238 1441973230 1441973222 9781441973221
OCLC Number: 819733144
Description: 1 online resource.
Contents: The Fundamental Theorem in Complex Function Theory --
Foundations --
Power Series --
The Cauchy Theory: A Fundamental Theorem --
The Cauchy Theory: Key Consequences --
Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions --
Sequences and Series of Holomorphic Functions --
Conformal Equivalence and Hyperbolic Geometry --
Harmonic Functions --
Zeros of Holomorphic Functions.
Series Title: Graduate texts in mathematics, 245.
Responsibility: Rubí E. Rodríguez, Irwin Kra, Jane P. Gilman.
More information:

Abstract:

Organizing the basic material of complex analysis in a unique manner, the authors of this versatile book aim is to present a precise and concise treatment of those parts of complex analysis that  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews of the second edition: "The book under review is a second edition of a book by the same authors and with the same title, also published by Springer in 2007. It contains some amount Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/819733144> # Complex analysis : in the spirit of Lipman Bers
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
    library:oclcnum "819733144" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/229544427#Place/new_york_ny> ; # New York, NY
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    schema:about <http://dewey.info/class/515.9/e23/> ;
    schema:about <http://id.worldcat.org/fast/936116> ; # Functions of complex variables
    schema:about <http://experiment.worldcat.org/entity/work/data/229544427#Topic/mathematics> ; # Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/229544427#Topic/mathematical_analysis> ; # Mathematical analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/229544427#Thing/mathematics> ; # Mathematics.
    schema:bookEdition "2nd ed." ;
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/114661503> ; # Jane Gilman
    schema:contributor <http://viaf.org/viaf/74395> ; # Irwin Kra
    schema:copyrightYear "2013" ;
    schema:creator <http://viaf.org/viaf/66774190> ; # Rubí E. Rodríguez
    schema:datePublished "2013" ;
    schema:description "This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. Thus this material will also be of interest to computer scientists, physicists, and engineers. The book covers most, if not all, of the material contained in Lipman Bers's courses on first year complex analysis. In addition, topics of current interest, such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis, are explored. In addition to many new exercises, this second edition introduces a variety of new and interesting topics. New features include a section on Bers's theorem on isomorphisms between rings of holomorphic functions on plane domains; necessary and sufficient conditions for the existence of a bounded analytic function on the disc with prescribed zeros; sections on subharmonic functions and Perron's principle; and a section on the ring of holomorphic functions on a plane domain. There are three new appendices: the first is a contribution by Ranjan Roy on the history of complex analysis, the second contains background material on exterior differential calculus, and the third appendix includes an alternate approach to the Cauchy theory."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/229544427> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0072-5285> ; # Graduate texts in mathematics,
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/229544427#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/229544427#CreativeWork/complex_analysis_in_the_spirit_of_lipman_bers> ;
    schema:name "Complex analysis : in the spirit of Lipman Bers"@en ;
    schema:productID "819733144" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/819733144#PublicationEvent/new_york_ny_springer_2013> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/229544427#Agent/springer> ; # Springer
    schema:url <http://dx.doi.org/10.1007/978-1-4419-7323-8> ;
    schema:url <http://site.ebrary.com/id/10656834> ;
    schema:url <http://link.springer.com/openurl?genre=book&isbn=978-1-4419-7322-1> ;
    schema:workExample <http://worldcat.org/isbn/9781441973221> ;
    schema:workExample <http://worldcat.org/isbn/9781441973238> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/819733144> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/229544427#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/819733144> ; # Complex analysis : in the spirit of Lipman Bers
    schema:name "Graduate texts in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/229544427#Topic/mathematical_analysis> # Mathematical analysis
    a schema:Intangible ;
    schema:name "Mathematical analysis"@en ;
    .

<http://id.worldcat.org/fast/936116> # Functions of complex variables
    a schema:Intangible ;
    schema:name "Functions of complex variables"@en ;
    .

<http://viaf.org/viaf/114661503> # Jane Gilman
    a schema:Person ;
    schema:birthDate "1945" ;
    schema:familyName "Gilman" ;
    schema:givenName "Jane" ;
    schema:name "Jane Gilman" ;
    .

<http://viaf.org/viaf/66774190> # Rubí E. Rodríguez
    a schema:Person ;
    schema:birthDate "1953" ;
    schema:familyName "Rodríguez" ;
    schema:givenName "Rubí E." ;
    schema:name "Rubí E. Rodríguez" ;
    .

<http://viaf.org/viaf/74395> # Irwin Kra
    a schema:Person ;
    schema:familyName "Kra" ;
    schema:givenName "Irwin" ;
    schema:name "Irwin Kra" ;
    .

<http://worldcat.org/entity/work/data/229544427#CreativeWork/complex_analysis_in_the_spirit_of_lipman_bers>
    a schema:CreativeWork ;
    rdfs:label "Complex Analysis : In the Spirit of Lipman Bers." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/819733144> ; # Complex analysis : in the spirit of Lipman Bers
    .

<http://worldcat.org/isbn/9781441973221>
    a schema:ProductModel ;
    schema:isbn "1441973222" ;
    schema:isbn "9781441973221" ;
    .

<http://worldcat.org/isbn/9781441973238>
    a schema:ProductModel ;
    schema:isbn "1441973230" ;
    schema:isbn "9781441973238" ;
    .

<http://worldcat.org/issn/0072-5285> # Graduate texts in mathematics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/819733144> ; # Complex analysis : in the spirit of Lipman Bers
    schema:issn "0072-5285" ;
    schema:name "Graduate texts in mathematics," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.