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

Conway, John B. B.

 
9781461269113: Functions of One Complex Variable II: 159 (Graduate Texts in Mathematics)

Inhaltsangabe

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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Reseña 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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9781461208181: Functions of One Complex Variable II

Vorgestellte Ausgabe

ISBN 10:  1461208181 ISBN 13:  9781461208181
Verlag: Springer, 2011
Softcover