This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory and homology theory as the analytic properties of holomorphic functions, the solvability of the inhomogeneous Cauchy-Riemann equation with emphasis on the notation of compact families, the theory of growth of subharmonic functions and an introduction to the theory of sheaves, covering spaces and Riemann surfaces. A number of exercises of differing levels of difficulty have been added.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory and homology theory as the analytic properties of holomorphic functions, the solvability of the inhomogeneous Cauchy-Riemann equation with emphasis on the notation of compact families, the theory of growth of subharmonic functions and an introduction to the theory of sheaves, covering spaces and Riemann surfaces. A number of exercises of differing levels of difficulty have been added.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
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