Functions of one complex variable

✍ Scribed by John B. Conway

Publisher: Springer
Year: 1995
Tongue: English
Leaves: 167
Series: Graduate Texts in Mathematics
Edition: 2
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Functions of One Complex Variable

📁 Functions of One Complex Variable

✍ John B Conway 📂 Library 📅 1978 🏛 Springer 🌐 English

<P>''This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The ap

Functions of One Complex Variable

📁 Functions of One Complex Variable

✍ John B. Conway (auth.) 📂 Library 📅 1973 🏛 Springer US 🌐 English

Functions of One Complex Variable

📁 Functions of One Complex Variable

✍ John B. Conway 📂 Library 📅 1978 🏛 Springer 🌐 English

<span>This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff

Functions of one complex variable

📁 Functions of one complex variable

✍ John B Conway 📂 Library 📅 1978 🏛 Springer 🌐 English

Functions of One Complex Variable

📁 Functions of One Complex Variable

✍ John B Conway 📂 Library 📅 1978 🌐 English

Functions of One Complex Variable II

📁 Functions of One Complex Variable II

✍ John B. Conway 📂 Library 📅 1995 🏛 Springer 🌐 English