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Complex Analysis : (Record no. 23128)

MARC details
000 -LEADER
fixed length control field	03860cam a2200253 a 4500
001 - CONTROL NUMBER
control field	vtls000000842
003 - CONTROL NUMBER IDENTIFIER
control field	VRT
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20250102224903.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	081020s1979 nyua \| 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	0070006571
039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE]
Level of rules in bibliographic description	202301151133
Level of effort used to assign nonsubject heading access points	shakra
Level of effort used to assign subject headings	202301031321
Level of effort used to assign classification	shakra
Level of effort used to assign subject headings	202201171311
Level of effort used to assign classification	aalzain
Level of effort used to assign subject headings	201402040048
Level of effort used to assign classification	VLOAD
--	200810201436
--	Noora
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA331
Item number	.A45 1979
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Ahlfors, Lars V.
Fuller form of name	(Lars Valerian),
Dates associated with a name	1907-1996
9 (RLIN)	49037
245 10 - TITLE STATEMENT
Title	Complex Analysis :
Remainder of title	An Introduction To The Theory of Analytic Functions of One Complex Variable /
Statement of responsibility, etc.	Lars V. Ahlfors.
250 ## - EDITION STATEMENT
Edition statement	3rd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc.	New York ;
--	London :
Name of publisher, distributor, etc.	McGraw-Hill,
Date of publication, distribution, etc.	c1979.
300 ## - PHYSICAL DESCRIPTION
Extent	xiv, 331 p. :
Other physical details	ill. ;
Dimensions	24 cm.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title	International series in pure and applied mathematics
9 (RLIN)	817
500 ## - GENERAL NOTE
General note	Includes index.
505 1# - FORMATTED CONTENTS NOTE
Formatted contents note	Chapter 1: Complex Numbers1 The Algebra of Complex Numbers1.1 Arithmetic Operations1.2 Square Roots1.3 Justification1.4 Conjugation, Absolute Value1.5 Inequalities2 The Geometric Representation of Complex Numbers2.1 Geometric Addition and Multiplication2.2 The Binomial Equation2.3 Analytic Geometry2.4 The Spherical RepresentationChapter 2: Complex Functions1 Introduction to the Concept of Analytic Function1.1 Limits and Continuity1.2 Analytic Functions1.3 Polynomials1.4 Rational Functions2 Elementary Theory of Power Series2.1 Sequences2.2 Series2.3 Uniform Coverages2.4 Power Series2.5 Abel's Limit Theorem3 The Exponential and Trigonometric Functions3.1 The Exponential3.2 The Trigonometric Functions3.3 The Periodicity3.4 The LogarithmChapter 3: Analytic Functions as Mappings1 Elementary Point Set Topology1.1 Sets and Elements1.2 Metric Spaces1.3 Connectedness1.4 Compactness1.5 Continuous Functions1.6 Topological Spaces2 Conformality2.1 Arcs and Closed Curves2.2 Analytic Functions in Regions2.3 Conformal Mapping2.4 Length and Area3 Linear Transformations3.1 The Linear Group3.2 The Cross Ratio3.3 Symmetry3.4 Oriented Circles3.5 Families of Circles4 Elementary Conformal Mappings4.1 The Use of Level Curves4.2 A Survey of Elementary Mappings4.3 Elementary Riemann SurfacesChapter 4: Complex Integration1 Fundamental Theorems1.1 Line Integrals1.2 Rectifiable Arcs1.3 Line Integrals as Functions of Arcs1.4 Cauchy's Theorem for a Rectangle1.5 Cauchy's Theorem in a Disk2 Cauchy's Integral Formula2.1 The Index of a Point with Respect to a Closed Curve2.2 The Integral Formula2.3 Higher Derivatives3 Local Properties of Analytical Functions3.1 Removable Singularities. Taylor's Theorem3.2 Zeros and Poles3.3 The Local Mapping3.4 The Maximum Principle4 The General Form of Cauchy's Theorem4.1 Chains and Cycles4.2 Simple Connectivity4.3 Homology4.4 The General Statement of Cauchy's Theorem4.5 Proof of Cauchy's Theorem4.6 Locally Exact Differentials4.7 Multiply Connected Reg
520 ## - SUMMARY, ETC.
Summary, etc.	A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element	Analytic functions.
9 (RLIN)	49038
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme	Library of Congress Classification
Suppress in OPAC	No
Koha item type	Books

Holdings
Source of classification or shelving scheme	Home library	Current library	Shelving location	Date acquired	Full call number	Barcode	Date last seen	Copy number	Price effective from	Koha item type	Cost, normal purchase price	Cost, replacement price
Library of Congress Classification	Library	Library	First Floor	21/12/2024	QA331 .A45 1979	8481	21/12/2024	1	21/12/2024	Books
Library of Congress Classification	Library	Library	First Floor	21/12/2024	QA331 .A45 1979	35928	21/12/2024	3	21/12/2024	Books
Library of Congress Classification	Library	Library	First Floor	21/12/2024	QA331 .A45 1979	22259	21/12/2024	2	21/12/2024	Books	47.12	94.24

Complex Analysis : (Record no. 23128)

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