Complex Analysis (Record no. 13643)

MARC details
000 -LEADER
fixed length control field 02315nmm a22002175i 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230705150637.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 131101s2001 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387216072
-- 978-0-387-21607-2
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Gamelin, Theodore W.
9 (RLIN) 20465
245 ## - TITLE STATEMENT
Title Complex Analysis
Medium [electronic resource] /
Statement of responsibility, etc. by Theodore W. Gamelin.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2001.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York, NY :
Name of publisher, distributor, etc. Springer New York :
-- Imprint: Springer,
Date of publication, distribution, etc. 2001.
300 ## - PHYSICAL DESCRIPTION
Extent XVIII, 480 p.
Other physical details online resource.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note First Part -- I The Complex Plane and Elementary Functions -- II Analytic Functions -- III Line Integrals and Harmonic Functions -- IV Complex Integration and Analyticity -- V Power Series -- VI Laurent Series and Isolated Singularities -- VII The Residue Calculus -- Second Part -- VIII The Logarithmic Integral -- IX The Schwarz Lemma and Hyperbolic Geometry -- X Harmonic Functions and the Reflection Principle -- XI Conformal Mapping -- Third Part -- XII Compact Families of Meromorphic Functions -- XIII Approximation Theorems -- XIV Some Special Functions -- XV The Dirichlet Problem -- XVI Riemann Surfaces -- Hints and Solutions for Selected Exercises -- References -- List of Symbols.
520 ## - SUMMARY, ETC.
Summary, etc. The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical analysis.
9 (RLIN) 20466
Topical term or geographic name entry element Analysis.
9 (RLIN) 20467
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-0-387-21607-2">https://doi.org/10.1007/978-0-387-21607-2</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type e-Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     S. R. Ranganathan Learning Hub S. R. Ranganathan Learning Hub Online 2023-07-05 Infokart India Pvt. Ltd., New Delhi   515 EB1331 2023-07-05 2023-07-05 e-Book