Author: Roger N. PedersonPublisher:
ISBN:
Category : Geometric function theory
Languages : en
Pages : 72
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: 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.
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.
A Machine Computation of the Grunsky Coefficients of Schlicht Functions
Author: Allen R. MillerPublisher:
ISBN:
Category : Univalent functions
Languages : en
Pages : 176
Book Description
A Proof of the Bieberach Conjecture for the Fourth Coefficient
Author: Stanford University. Applied Mathematics and Statistics LaboratoryPublisher:
ISBN:
Category :
Languages : en
Pages : 77
Book Description
Complex Analysis
Author: Mario GonzalezPublisher: Routledge
ISBN: 1351459384
Category : Mathematics
Languages : en
Pages : 544
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
A Geometric Proof of the Bieberbach Conjecture for the Fourth Coefficient
Author: Stanford University. Applied Mathematics and Statistics LaboratoryPublisher:
ISBN:
Category :
Languages : en
Pages : 15
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
CRC Concise Encyclopedia of Mathematics
Author: Eric W. WeissteinPublisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253
Book Description
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Topics in Polynomials
Author: G. V. Milovanovi?Publisher: World Scientific
ISBN: 9789810204990
Category : Science
Languages : en
Pages : 842
Book Description
The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.