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Complex Variables

An Introduction

Gebonden EN 1991 9783540973492
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Samenvatting

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.

Specificaties

ISBN13:9783540973492
Taal:EN
Bindwijze:Gebonden
Aantal pagina's:662
Uitgever:Springer-Verlag Berlin and Heidelberg GmbH & Co. K

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Inhoudsopgave

Topology of the Complex Plane and Holomorphic Functions.- Analytic Properties of Holomorphic Functions.- The a-Equation.- Harmonic and Subharmonic Functions.- Analytic Continuation and Singularities.- References.- Notation and Selected Terminology.- Index.

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€ 65,64
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          Complex Variables