# Handbook of Complex Variables

• Steven G. Krantz
Book

1. Front Matter
Pages i-xxiv
2. Steven G. Krantz
Pages 1-17
3. Steven G. Krantz
Pages 19-29
4. Steven G. Krantz
Pages 31-39
5. Steven G. Krantz
Pages 41-68
6. Steven G. Krantz
Pages 69-78
7. Steven G. Krantz
Pages 79-88
8. Steven G. Krantz
Pages 89-101
9. Steven G. Krantz
Pages 103-115
10. Steven G. Krantz
Pages 117-122
11. Steven G. Krantz
Pages 123-141
12. Steven G. Krantz
Pages 143-147
13. Steven G. Krantz
Pages 149-154
14. Steven G. Krantz
Pages 155-162
15. Steven G. Krantz
Pages 163-194
16. Steven G. Krantz
Pages 195-217
17. Steven G. Krantz
Pages 219-229
18. Back Matter
Pages 231-290

### Introduction

This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. It is not a book of mathematical theory. It is instead a book of mathematical practice. All the basic ideas of complex analysis, as well as many typical applica­ tions, are treated. Since we are not developing theory and proofs, we have not been obliged to conform to a strict logical ordering of topics. Instead, topics have been organized for ease of reference, so that cognate topics appear in one place. Required background for reading the text is minimal: a good ground­ ing in (real variable) calculus will suffice. However, the reader who gets maximum utility from the book will be that reader who has had a course in complex analysis at some time in his life. This book is a handy com­ pendium of all basic facts about complex variable theory. But it is not a textbook, and a person would be hard put to endeavor to learn the subject by reading this book.

### Keywords

Argument principle Blaschke product Complex analysis Mathematik Meromorphic function Monodromy Residue theorem Riemann surfaces Schwarz lemma Variable analytic function gamma function ksa

#### Authors and affiliations

• Steven G. Krantz
• 1
1. 1.Department of MathematicsWashington University in St. LouisSt. LouisUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-1588-2
• Copyright Information Birkhäuser Boston 1999
• Publisher Name Birkhäuser, Boston, MA
• eBook Packages
• Print ISBN 978-1-4612-7206-9
• Online ISBN 978-1-4612-1588-2
• Buy this book on publisher's site