# Functions of One Complex Variable II

• John B. Conway
Textbook

Part of the Graduate Texts in Mathematics book series (GTM, volume 159)

1. Front Matter
Pages i-xvi
2. John B. Conway
Pages 1-27
3. John B. Conway
Pages 29-70
4. John B. Conway
Pages 71-107
5. John B. Conway
Pages 109-131
6. John B. Conway
Pages 133-167
7. John B. Conway
Pages 169-203
8. John B. Conway
Pages 205-268
9. John B. Conway
Pages 269-299
10. John B. Conway
Pages 301-383
11. Back Matter
Pages 384-396

### Introduction

This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat­ ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst learning experiences of my career when I took complex analysis; a truly bad teacher. As a non-tenured assistant professor, the department allowed me to teach the graduate course in complex analysis. They thought I knew the material; I wanted to learn it. I adopted a standard text and shortly after beginning to prepare my lectures I became dissatisfied. All the books in print had virtues; but I was educated as a modern analyst, not a classical one, and they failed to satisfy me. This set a pattern for me in learning new mathematics after I had become a mathematician. Some topics I found satisfactorily treated in some sources; some I read in many books and then recast in my own style. There is also the matter of philosophy and point of view. Going from a certain mathematical vantage point to another is thought by many as being independent of the path; certainly true if your only objective is getting there. But getting there is often half the fun and often there is twice the value in the journey if the path is properly chosen.

### Keywords

Dirichlet principle Factor Nevanlinna theory Potential theory Prime algebra analytic function boundary element method convolution differential equation functions integration modular form subharmonic function variable

#### Authors and affiliations

• John B. Conway
• 1
1. 1.Department of MathematicsUniversity of TennesseeKnoxvilleUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-0817-4
• Copyright Information Springer-Verlag New York, Inc. 1995
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4612-6911-3
• Online ISBN 978-1-4612-0817-4
• Series Print ISSN 0072-5285
• Buy this book on publisher's site