Functions of One Complex Variable

✍ Scribed by John B. Conway (auth.)

Publisher: Springer US
Year: 1973
Tongue: English
Leaves: 322
Series: Graduate Texts in Mathematics 11
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Front Matter....Pages i-xi
The Complex Number System....Pages 1-10
Metric Spaces and the Topology of ℂ....Pages 11-29
Elementary Properties and Examples of Analytic Functions....Pages 30-57
Complex Integration....Pages 58-98
Singularities....Pages 99-123
The Maximum Modulus Theorem....Pages 124-137
Compactness and Convergence in the Space of Analytic Functions....Pages 138-190
Runge’s Theorem....Pages 191-211
Analytic Continuation and Riemann Surfaces....Pages 212-253
Harmonic Functions....Pages 254-280
Entire Functions....Pages 281-293
The Range of an Analytic Function....Pages 294-303
Back Matter....Pages 304-313

✦ Subjects

Mathematics, general

📜 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 📂 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 📅 1995 🏛 Springer 🌐 English

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 connect

Functions of one complex variable

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✍ 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