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The Bieberbach Conjecture

The Bieberbach Conjecture
Author: Sheng Gong
Publisher: American Mathematical Soc.
Total Pages: 218
Release: 1999-07-12
Genre: Education
ISBN: 0821827421

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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.


The Bieberbach Conjecture: Proceedings of the Symposium on the Occasion of the Proof

The Bieberbach Conjecture: Proceedings of the Symposium on the Occasion of the Proof
Author: Albert Baernstein (II)
Publisher: American Mathematical Soc.
Total Pages: 238
Release: 1986
Genre: Mathematics
ISBN: 0821815210

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Louis de Branges of Purdue University is recognized as the mathematician who proved Bieberbach's conjecture. This book offers insight into the nature of the conjecture, its history and its proof. It is suitable for research mathematicians and analysts.


The Bieberbach Conjecture

The Bieberbach Conjecture
Author: Albert Baernstein (II)
Publisher: American Mathematical Society(RI)
Total Pages: 238
Release: 2014-05-22
Genre: Bieberbach conjecture
ISBN: 9781470412487

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Louis de Branges of Purdue University is recognized as the mathematician who proved Bieberbach's conjecture. This book offers insight into the nature of the conjecture, its history and its proof. It is suitable for research mathematicians and analysts.


Complex Analysis

Complex Analysis
Author: Prem K. Kythe
Publisher: CRC Press
Total Pages: 365
Release: 2016-04-19
Genre: Mathematics
ISBN: 149871899X

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Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. Assuming basic knowledge of complex analysis


The Bieberbach Conjecture

The Bieberbach Conjecture
Author: Albert Baernstein
Publisher: American Mathematical Soc.
Total Pages: 238
Release:
Genre: Mathematics
ISBN: 0821873814

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Mathematical Surveys and Monographs

Mathematical Surveys and Monographs
Author:
Publisher:
Total Pages: 218
Release: 1984
Genre: Geometric function theory
ISBN: 9780821815212

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The Bieberbach Conjecture for N

The Bieberbach Conjecture for N
Author: James Phillips Marion
Publisher:
Total Pages: 62
Release: 1974
Genre: Mathematics
ISBN:

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Univalent Functions

Univalent Functions
Author: Derek K. Thomas
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 265
Release: 2018-04-09
Genre: Mathematics
ISBN: 3110560968

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The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers. Contents Univalent Functions – the Elementary Theory Definitions of Major Subclasses Fundamental Lemmas Starlike and Convex Functions Starlike and Convex Functions of Order α Strongly Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike Functions Close-to-Convex Functions Bazilevič Functions B1(α) Bazilevič Functions The Class U(λ) Convolutions Meromorphic Univalent Functions Loewner Theory Other Topics Open Problems