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Complex Analysis (Universitext) by Eberhard Freitag [Repost]

Posted By: Free butterfly
Complex Analysis (Universitext) by Eberhard Freitag [Repost]

Complex Analysis (Universitext) by Eberhard Freitag
English | Dec 19, 2005 | ISBN: 3540257241 | 552 Pages | PDF | 4 MB

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.