Functions of One Complex Variable II: 159 (Graduate Texts in Mathematics, 159)

John B. Conway

ISBN 10: 1461269113 ISBN 13: 9781461269113

Editorial: Springer, 2012

Idioma: Ingl�s

Condici�n: Nuevo Encuadernaci�n de tapa blanda

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Softcover reprint of the original 1st ed. 1995.

N� de ref. del art�culo LU-9781461269113

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Detalles bibliogr�ficos

T�tulo: Functions of One Complex Variable II: 159 (Graduate Texts in Mathematics, 159)
Editor: Springer
Fecha de publicaci�n: 2012
Idioma: Ingl�s
ISBN 10: 1461269113
ISBN 13: 9781461269113
Encuadernaci�n: Paperback
Estado: New

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Sinopsis

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.

Rese�a del editor

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.

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