ENGLISH

Complex analysis

Book information

Publisher
Springer
Year
2009
ISBN
9783540939825, 3540939822
DOI
10.1007/978-3-540-93983-2_Intr0
Language
english
Format
PDF
Filesize
3 MB (2889390 bytes)
Series
Universitext
Edition
2nd ed.
Pages
532\532
Library
Kolxo3
Scanned
no
Time added
2009-12-04 00:34:26

Description

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.

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