Overview: Reprint of a successful, proven work * Gives an overview of the basic properties of holomorphic functions of one complex variable *.To further illiminate the material, a large number of exercises of dTextbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant‘s Fun
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