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

Posted on 2010-03-16




Name:Functions of One Complex Variable II (Graduate Texts in Mathematics), Vol. 159
ASIN/ISBN:0387944605
Language:English
File size:12 Mb
Language: English
Publish Date: 1996-06-13
ISBN: 0387944605
Pages: 416 pages
File Type: PDF
File Size: 12 MB
Other Info: Springer
   Functions of One Complex Variable II (Graduate Texts in Mathematics), Vol. 159

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John B. Conway ""

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.

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