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A Course in Complex Analysis
Wolfgang FischerIngo Lieb
其他書名
From Basic Results to Advanced Topics
出版Springer Science & Business Media, 2011-10-21
主題Mathematics / Mathematical AnalysisMathematics / Calculus
ISBN38348866109783834886613
URLhttp://books.google.com.hk/books?id=fLYsfrfFOS0C&hl=&source=gbs_api
EBookSAMPLE
註釋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.