LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.9 (DDC 23)
Title	Complex Analysis ([Ebook]) / by Rolf Busam, Eberhard Freitag.
Author	Busam, Rolf
Added Personal Name	Freitag, Eberhard
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed.
Publication	Berlin, Heidelberg : Springer , 2009.
Physical Details	: online resource.
Series	Universitext
ISBN	9783540939832
Summary Note	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.:
Contents note	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.
System details note	Online Access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-540-93983-2
Links to Related Works	Subject References: Functions of a Complex Variable . Functions of complex variables . Mathematics . Authors: author . Busam, Rolf . Freitag, Eberhard . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.9 (DDC 23) .

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Complex Analysis

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