Author: James Phillips MarionPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 62
Book Description
The Bieberbach Conjecture for N
Author: James Phillips MarionPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 62
Book Description
The Bieberbach Conjecture
Author: Sheng GongPublisher: American Mathematical Soc.
ISBN: 0821827421
Category : Education
Languages : en
Pages : 218
Book Description
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
Author: Albert Baernstein (II)Publisher: American Mathematical Soc.
ISBN: 0821815210
Category : Mathematics
Languages : en
Pages : 238
Book Description
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.
Loewner's Solution of the Bieberbach Conjecture for N
Author: James Lance ReynoldsPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 64
Book Description
A Proof of the Bieberbach Conjecture for the Sixth Coefficient
Author: Roger N. PedersonPublisher:
ISBN:
Category : Geometric function theory
Languages : en
Pages : 72
Book Description
The Bieberbach Conjecture
Author: Sheng GongPublisher:
ISBN: 9781571460561
Category :
Languages : en
Pages : 201
Book Description
In 1916 Bieberach conjectured: If f - a univalent holomorphic function on the unit disk - is a member of S - the set of all such functions where D={z: z less than 1} and the normalization conditions f(0)=0 and F(0)=1 are added, then an is less than n holds true for n=2,3, ... This equality holds if and only if f(z) is the Koebe function z over (1-z)2 or one of its rotation
The Bieberbach Conjecture
Author: Albert BaernsteinPublisher: American Mathematical Soc.
ISBN: 0821873814
Category : Mathematics
Languages : en
Pages : 238
Book Description
Complex Analysis
Author: Prem K. KythePublisher: CRC Press
ISBN: 149871899X
Category : Mathematics
Languages : en
Pages : 365
Book Description
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
Complex Analysis
Author: Mario GonzalezPublisher: Routledge
ISBN: 1351459376
Category : Mathematics
Languages : en
Pages : 552
Book Description
A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
Univalent Functions
Author: P. L. DurenPublisher: Springer Science & Business Media
ISBN: 9780387907956
Category : Mathematics
Languages : en
Pages : 414
Book Description