Functions of Several Complex Variables and Their Singularities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Functions of Several Complex Variables and Their Singularities write by Wolfgang Ebeling. This book was released on 2007. Functions of Several Complex Variables and Their Singularities available in PDF, EPUB and Kindle. The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
Introduction to Complex Analysis in Several Variables
Introduction to Complex Analysis in Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Complex Analysis in Several Variables write by Volker Scheidemann. This book was released on 2023. Introduction to Complex Analysis in Several Variables available in PDF, EPUB and Kindle. This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
Several Complex Variables
Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Several Complex Variables write by Raghavan Narasimhan. This book was released on 1971. Several Complex Variables available in PDF, EPUB and Kindle. Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several complex variables pertaining to unramified domains over C . Topics discussed are Hartogs' theory, domains in holomorphy, and automorphism of bounded domains.
Several Complex Variables and Complex Manifolds
Several Complex Variables and Complex Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Several Complex Variables and Complex Manifolds write by Mike Field. This book was released on 1982. Several Complex Variables and Complex Manifolds available in PDF, EPUB and Kindle. Annotation This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.
Several Complex Variables
Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Several Complex Variables write by H. Grauert. This book was released on 2012-12-06. Several Complex Variables available in PDF, EPUB and Kindle. The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real methods which stem from elliptic partial differential equations. In the first chapter we begin with the definition of holomorphic functions of several variables, their representation by the Cauchy integral, and their power series expansion on Reinhardt domains. It turns out that, in l:ontrast ~ 2 there exist domains G, G c en to the theory of a single variable, for n with G c G and G "# G such that each function holomorphic in G has a continuation on G. Domains G for which such a G does not exist are called domains of holomorphy. In Chapter 2 we give several characterizations of these domains of holomorphy (theorem of Cartan-Thullen, Levi's problem). We finally construct the holomorphic hull H(G} for each domain G, that is the largest (not necessarily schlicht) domain over en into which each function holomorphic on G can be continued.
