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Complex Variables: An Introduction: Vol 125 (Graduate Texts in Mathematics) - Tapa dura

Berenstein, Carlos A.; Gay, Roger

 
9783540973492: Complex Variables: An Introduction: Vol 125 (Graduate Texts in Mathematics)

Sinopsis

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.

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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.