Analytic Functions of Several Complex Variables

Analytic Functions of Several Complex Variables
Author :
Publisher : American Mathematical Society
Total Pages : 334
Release :
ISBN-10 : 9781470470661
ISBN-13 : 1470470667
Rating : 4/5 (667 Downloads)

Book Synopsis Analytic Functions of Several Complex Variables by : Robert C. Gunning

Download or read book Analytic Functions of Several Complex Variables written by Robert C. Gunning and published by American Mathematical Society. This book was released on 2022-08-25 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.


Analytic Functions of Several Complex Variables Related Books

Analytic Functions of Several Complex Variables
Language: en
Pages: 334
Authors: Robert C. Gunning
Categories: Mathematics
Type: BOOK - Published: 2022-08-25 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After init
Elementary Theory of Analytic Functions of One or Several Complex Variables
Language: en
Pages: 242
Authors: Henri Cartan
Categories: Mathematics
Type: BOOK - Published: 2013-04-22 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and La
Entire Functions of Several Complex Variables
Language: en
Pages: 283
Authors: Pierre Lelong
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain appl
Holomorphic Functions and Integral Representations in Several Complex Variables
Language: en
Pages: 405
Authors: R. Michael Range
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough d
Tasty Bits of Several Complex Variables
Language: en
Pages: 142
Authors: Jiri Lebl
Categories:
Type: BOOK - Published: 2016-05-05 - Publisher: Lulu.com

DOWNLOAD EBOOK

This book is a polished version of my course notes for Math 6283, Several Complex Variables, given in Spring 2014 and Spring 2016 semester at Oklahoma State Uni