Complex Analysis

The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundam...

Full description

Bibliographic Details
Main Authors: Busam, Rolf. (Author), Freitag, Eberhard. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Series:Universitext
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-93983-2
LEADER 02660nam a22003855i 4500
001 6795
003 DE-He213
005 20130725191741.0
007 cr nn 008mamaa
008 100301s2009 gw | s |||| 0|eng d
020 # # |a 9783540939832  |9 978-3-540-93983-2 
024 7 # |a 10.1007/978-3-540-93983-2  |2 doi 
100 1 # |a Busam, Rolf.  |e author. 
245 1 0 |a Complex Analysis  |c by Rolf Busam, Eberhard Freitag.  |h [electronic resource] / 
264 # 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2009. 
300 # # |b online resource. 
336 # # |a text  |b txt  |2 rdacontent 
337 # # |a computer  |b c  |2 rdamedia 
338 # # |a online resource  |b cr  |2 rdacarrier 
347 # # |a text file  |b PDF  |2 rda 
490 1 # |a Universitext 
505 0 # |a Differential Calculus in the Complex Plane C -- Integral Calculus in the Complex Plane -- Sequences and Series of Analytic Functions, the Residue Theorem -- Construction of Analytic Functions -- Elliptic Functions -- Elliptic Modular Forms -- Analytic Number Theory -- Solutions to the Exercises -- References -- Index. 
520 # # |a The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward to elliptic functions and to elliptic modular functions including a taste of all most beautiful results of this field. The book is rounded by applications to analytic number theory including distinguished pearls of this fascinating subject as for instance the Prime Number Theorem. Great importance is attached to completeness, all needed notions are developed, only minimal prerequisites (elementary facts of calculus and algebra) are required. More than 400 exercises including hints for solutions and many figures make this an attractive, indispensable book for students who would like to have a sound introduction to classical complex analysis. For the second edition the authors have revised the text carefully. 
650 # 0 |a Mathematics. 
650 # 0 |a Functions of complex variables. 
650 1 4 |a Mathematics. 
650 2 4 |a Functions of a Complex Variable. 
700 1 # |a Freitag, Eberhard.  |e author. 
710 2 # |a SpringerLink (Online service) 
773 0 # |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783540939825 
830 # 0 |a Universitext 
856 4 0 |u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-93983-2 
912 # # |a ZDB-2-SMA 
950 # # |a Mathematics and Statistics (Springer-11649)