Functions of Several Complex Variables and Their Singularities

Functions of Several Complex Variables and Their Singularities
Author :
Publisher : American Mathematical Soc.
Total Pages : 334
Release :
ISBN-10 : 9780821833193
ISBN-13 : 0821833197
Rating : 4/5 (197 Downloads)

Book Synopsis Functions of Several Complex Variables and Their Singularities by : Wolfgang Ebeling

Download or read book Functions of Several Complex Variables and Their Singularities written by Wolfgang Ebeling and published by American Mathematical Soc.. This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain appl