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Author: S. D. Bernardi Publisher: Forgotten Books ISBN: 9780656362400 Category : Mathematics Languages : en Pages : 178
Book Description
Excerpt from Bibliography of Schlicht Functions The interior of the unit circle-is taken as the standard mapping domain for approximately 1400 papers, while the remaining papers deal with half-planes and various other canonical domains. Of the total number of research papers listed in the biblio graphy approximately 736 of them contain in their titles the word univalent or multivalent (or their equivalents). However, many results in the class of schlicht functions are contained in papers whose titles do not specifically refer to them, such as typically real functions, bounded functions, and functions of positive real part; many theorems in these three classes are easily transformed, as is well known, into theorems in the class of schlicht functions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: S. D. Bernardi Publisher: Forgotten Books ISBN: 9780656362400 Category : Mathematics Languages : en Pages : 178
Book Description
Excerpt from Bibliography of Schlicht Functions The interior of the unit circle-is taken as the standard mapping domain for approximately 1400 papers, while the remaining papers deal with half-planes and various other canonical domains. Of the total number of research papers listed in the biblio graphy approximately 736 of them contain in their titles the word univalent or multivalent (or their equivalents). However, many results in the class of schlicht functions are contained in papers whose titles do not specifically refer to them, such as typically real functions, bounded functions, and functions of positive real part; many theorems in these three classes are easily transformed, as is well known, into theorems in the class of schlicht functions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Sheng Gong Publisher: 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.
Author: Saeed Zakeri Publisher: Princeton University Press ISBN: 0691207585 Category : Mathematics Languages : en Pages : 442
Book Description
"This textbook is intended for a year-long graduate course on complex analysis, a branch of mathematical analysis that has broad applications, particularly in physics, engineering, and applied mathematics. Based on nearly twenty years of classroom lectures, the book is accessible enough for independent study, while the rigorous approach will appeal to more experienced readers and scholars, propelling further research in this field. While other graduate-level complex analysis textbooks do exist, Zakeri takes a distinctive approach by highlighting the geometric properties and topological underpinnings of this area. Zakeri includes more than three hundred and fifty problems, with problem sets at the end of each chapter, along with additional solved examples. Background knowledge of undergraduate analysis and topology is needed, but the thoughtful examples are accessible to beginning graduate students and advanced undergraduates. At the same time, the book has sufficient depth for advanced readers to enhance their own research. The textbook is well-written, clearly illustrated, and peppered with historical information, making it approachable without sacrificing rigor. It is poised to be a valuable textbook for graduate students, filling a needed gap by way of its level and unique approach"--
Author: Richard Beals Publisher: Springer Nature ISBN: 3031282884 Category : Mathematics Languages : en Pages : 410
Book Description
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year’s course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE. The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange’s theorem, respectively. Chapters 5—7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10–14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann—Hilbert problem and integral equations, and Darboux’s method for computing asymptotics.
Author: S. D. Bernardi
Author: S. D. Bernardi
Author: S. D. Bernardi
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Author: ![Bibliography of Schlicht Functions: 1907-1965].-pt. 2. 1966-1975 PDF](https://books.google.com/books/content/images/frontcover/EtVZzgEACAAJ?fife=w80-h100)
Author: Salvatore Dante Bernardi
Author: Sheng Gong
Author: Saeed Zakeri
Author: R.R. Bowker Company. Department of Bibliography
Author: Richard Beals