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Complex Analysis (Record no. 508938)

000 -LEADER
fixed length control field 03847nam a22004695i 4500
001 - CONTROL NUMBER
control field 978-0-387-74715-6
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20161121231125.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2007 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387747156
-- 978-0-387-74715-6
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-387-74715-6
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA331-355
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKD
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.9
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gilman, Jane P.
Relator term author.
245 10 - TITLE STATEMENT
Title Complex Analysis
Medium [electronic resource] :
Remainder of title In the Spirit of Lipman Bers /
Statement of responsibility, etc. by Jane P. Gilman, Irwin Kra, Rubí E. Rodríguez.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York,
Date of production, publication, distribution, manufacture, or copyright notice 2007.
300 ## - PHYSICAL DESCRIPTION
Extent XIV, 220 p. 20 illus.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume/sequential designation 245
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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 -- Harmonic Functions -- Zeros of Holomorphic Functions.
520 ## - SUMMARY, ETC.
Summary, etc. This book is intended for a graduate course on complex analysis, also known as function theory. 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 current and rapidly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and three-manifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. It is an area where the classic and the modern techniques meet and benefit from each other. This material should be part of the education of every practicing mathematician, and it will also be of interest to computer scientists, physicists, and engineers. The first part of the book is a study of the many equivalent ways of understanding the concept of analyticity. The many ways of formulating the concept of an analytic function are summarized in what is termed the Fundamental Theorem for functions of a complex variable. The organization of these conditions into a single unifying theorem with an emphasis on clarity and elegance is a hallmark of Lipman Bers's mathematical style. Here it provides a conceptual framework for results that are highly technical and often computational. The framework comes from an insight that, once articulated, will drive the subsequent mathematics and lead to new results. In the second part, the text proceeds to a leisurely exploration of interesting ramifications of the main concepts. The book covers most, if not all, of the material contained in 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Functions of complex variables.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Functions of a Complex Variable.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Several Complex Variables and Analytic Spaces.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kra, Irwin.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Rodríguez, Rubí E.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387747149
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume/sequential designation 245
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-387-74715-6
912 ## -
-- ZDB-2-SMA
Holdings
Withdrawn status Lost status Damaged status Not for loan Permanent Location Current Location Date acquired Barcode Date last seen Price effective from Koha item type
        PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2016-11-21 EBK9225 2016-11-21 2016-11-21 E books

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