**AMS/IP Studies in Advanced Mathematics**

Volume: 12;
1999;
201 pp;
Softcover

MSC: Primary 30;

Print ISBN: 978-0-8218-2742-0

Product Code: AMSIP/12.S

List Price: $36.00

Individual Member Price: $28.80

**Electronic ISBN: 978-1-4704-3803-6
Product Code: AMSIP/12.E**

List Price: $36.00

Individual Member Price: $28.80

# The Bieberbach Conjecture

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*Sheng Gong*

A co-publication of the AMS and International Press of Boston, Inc.

In 1919, Bieberbach posed a seemingly simple conjecture. That
“simple” conjecture challenged mathematicians in complex
analysis for the following 68 years! In that time, a huge number of
papers discussing the conjecture and its related problems were
inspired. Finally in 1984, de Branges completed the solution.

In 1989, Professor Gong wrote and published a short book in
Chinese, The Bieberbach Conjecture, outlining the history of
the related problems and de Branges' proof. The present volume is the
English translation of that Chinese edition with modifications by the
author. In particular, he includes results related to several complex
variables. Open problems and a large number of new mathematical
results motivated by the Bieberbach conjecture are included.

Completion of a standard one-year graduate complex analysis course
will prepare the reader for understanding the book. It would make a
nice supplementary text for a topics course at the advanced
undergraduate or graduate level.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

#### Readership

Advanced undergraduates, graduate students, and research mathematicians interested in functions of a complex variable.

#### Reviews & Endorsements

For those wanting to read about the history and resolution of what for many
years was *the* problem in complex analysis, it should prove useful.

-- Bulletin of the LMS

This book (with a preface by Carol H. FitzGerald) is a concise, readable, and essentially self-contained account of the mathematics that makes up the history of the Bieberbach conjecture.

-- Zentralblatt MATH