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.
Functions of Several Complex Variables and Their Singularities
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.
Non-essential Singularities of Functions of Several Complex Variables
Non-essential Singularities of Functions of 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 Non-essential Singularities of Functions of Several Complex Variables write by Dunham Jackson. This book was released on 1916. Non-essential Singularities of Functions of Several Complex Variables available in PDF, EPUB and Kindle.
Analytic Functions of Several Complex Variables
Analytic Functions of 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 Analytic Functions of Several Complex Variables write by Robert Clifford Gunning. This book was released on 2009. Analytic Functions of Several Complex Variables available in PDF, EPUB and Kindle. The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title intends to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces.
Entire Functions of Several Complex Variables
Entire Functions of 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 Entire Functions of Several Complex Variables write by Pierre Lelong. This book was released on 2012-12-06. Entire Functions of Several Complex Variables available in PDF, EPUB and Kindle. I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.
