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A Course in Complex Analysis: From Basic Results to Advanced Topics [Repost]
![A Course in Complex Analysis: From Basic Results to Advanced Topics [Repost]](https://pixhost.icu/avaxhome/ea/55/002855ea.jpeg)
Wolfgang Fischer, Ingo Lieb - A Course in Complex Analysis: From Basic Results to Advanced Topics
Published: 2011-10-10 | ISBN: 3834815764 | PDF | 272 pages | 3 MB
This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem …) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables.
Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s programme.