ENGLISH

Functions of One Complex Variable II

By John B. Conway

Book information

Publisher
Springer
Year
1995
ISBN
9780387944609, 0387944605
LCC
QA331.7 .C682 1995
Language
english
Format
PDF
Filesize
12 MB (12506831 bytes)
Series
Graduate Texts in Mathematics Pt. 2
Pages
412\412
Scanned
yes
Time added
2010-10-13 10:14:08

Description

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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