Functions of One Complex Variable II

John B. Conway

ISBN 10: 0387944605 / ISBN 13: 9780387944609

Verlag: Springer New York Mai 1995, 1995

Beschreibung

Neuware -This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable. It treats several topics in geometric function theory as well as potential theory in the plane. In particular it covers: 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. The level of the material is gauged for graduate students. Chapters XIII through XVII have the same prerequisites as the first volume of this text, GTM 11. For the remainder of the text it is assumed that the reader has a knowledge of integration theory and functional analysis. Definitions and theorems are stated clearly and precisely. Also contained in this book is an abundance of exercises of various degrees of difficulty. 416 pp. Englisch.

Bestandsnummer des Verkäufers 9780387944609

Bibliografische Details

• Titel: Functions of One Complex Variable II
• Verlag: Springer New York Mai 1995
• Veröffentlichungsdatum: 1995
• Sprache: Englisch
• ISBN-10: 0387944605
• ISBN-13: 9780387944609
• Bindung: Buch
• Zustand: Neu

Über diesen Titel

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.