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## Elements of the Theory of Functions of a Complex Variable

Author: Heinrich Durège
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 288
Book Description

## Elements of the Theory of Functions of a Complex Variable

Author: Heinrich Durège
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 288
Book Description

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description

## Elements of the Theory of Functions of a Complex Variable with Special Reference to the Methods of Riemann

Author: Heinrich Durège
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 288
Book Description

## Elements of the Theory of Functions of a Complex Variable, with Especial Reference to the Methods of Riemann. Authorized Translation from the 4th Germ

Author: Heinrich Durège
Publisher: Hardpress Publishing
ISBN: 9781290628785
Category :
Languages : en
Pages : 310
Book Description
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

## Elements of the Theory of Functions of a Complex Variable

Author: H. Durège
Publisher: Forgotten Books
ISBN: 9781330368480
Category : Mathematics
Languages : en
Pages : 308
Book Description
Excerpt from Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann Numerous additions have been made to Section IX., which treats of multiply connected surfaces. If Riemann's fundamental proposition on these surfaces be enunciated in such a form that merely simply connected pieces are formed by both modes of resolution, - as is ordinarily, and was also in § 49, the case, - then it must be supplemented for further applications. Such supplementary matter was given in § 52 in the classification of surfaces, and in § 53, V. But if we express the fundamental proposition in the form in which Riemann originally established it, in which merely simply connected pieces are formed by only one mode of resolution, while the pieces resulting from the other mode of resolution may or may not be simply connected, then all difficulties are obviated, and the conclusions follow immediately without requiring further expedients. This was shown in a supplementary note at the end of the book. 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.

## Function Theory in Several Complex Variables

Author: Toshio Nishino
Publisher: American Mathematical Soc.
ISBN: 9780821808160
Category : Mathematics
Languages : en
Pages : 366
Book Description
'Kiyoshi Oka, at the beginning of his research, regarded the collection of problems which he encountered in the study of domains of holomorphy as large mountains which separate today and tomorrow. Thus, he believed that there could be no essential progress in analysis without climbing over these mountains...this book is a worthwhile initial step for the reader in order to understand the mathematical world which was created by Kiyoshi Oka' - from the Preface. This book explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through the middle of the twentieth century. In the work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka.In this volume, Oka's work is divided into two parts. The first is the study of analytic functions in univalent domains in ${\mathbf C}^n$. Here Oka proved that three concepts are equivalent: domains of holomorphy, holomorphically convex domains, and pseudoconvex domains; and moreover that the Poincare problem, the Cousin problems, and the Runge problem, when stated properly, can be solved in domains of holomorphy satisfying the appropriate conditions.The second part of Oka's work established a method for the study of analytic functions defined in a ramified domain over ${\mathbf C}^n$ in which the branch points are considered as interior points of the domain. Here analytic functions in an analytic space are treated, which is a slight generalization of a ramified domain over ${\mathbf C}^n$. In writing the book, the author's goal was to bring to readers a real understanding of Oka's original papers. This volume is an English translation of the original Japanese edition, published by the University of Tokyo Press (Japan). It would make a suitable course text for advanced graduate level introductions to several complex variables.

## Elements of the Theory of Functions of a Complex Variable

Author: Heinrich Durège
Publisher:
ISBN: 9783337883263
Category :
Languages : en
Pages : 308
Book Description

## Elements of the Theory of Functions of a Complex Variable

Author: H (Heinrich) 1821-1893 Durège
Publisher: Legare Street Press
ISBN: 9781013755873
Category :
Languages : en
Pages : 312
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

## Elements Of The Theory Of Functions Of A Complex Variable

Author: Heinrich Durège
Publisher: Palala Press
ISBN: 9781378338179
Category :
Languages : en
Pages : 308
Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

## Functions of One Complex Variable I

Author: John B. Conway
Publisher: Springer Science & Business Media
ISBN: 9780387903286
Category : Mathematics
Languages : en
Pages : 317
Book Description
"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET