Several Complex Variables Vii
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| Author | : H. Grauert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 374 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662098733 |
The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.
| Author | : Semen G. Gindikin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 257 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642612636 |
This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.
| Author | : L. Hormander |
| Publisher | : Elsevier |
| Total Pages | : 227 |
| Release | : 1973-02-12 |
| Genre | : Mathematics |
| ISBN | : 0444105239 |
An Introduction to Complex Analysis in Several Variables
| Author | : Mike Field |
| Publisher | : Cambridge University Press |
| Total Pages | : 224 |
| Release | : 1982 |
| Genre | : Complex manifolds |
| ISBN | : 9780521288880 |
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.
| Author | : Mike Field |
| Publisher | : Cambridge University Press |
| Total Pages | : 209 |
| Release | : 1982-04 |
| Genre | : Mathematics |
| ISBN | : 0521283019 |
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further 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 were designed to provide an introduction to the more advanced works in the subject.
| Author | : G.M. Khenkin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 292 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642580114 |
This volume of the Encyclopaedia contains three contributions in the field of complex analysis; on mean periodicity and convolutionequations, Yang-Mills fields and the Radon-Penrose transform, and stringtheory. It is immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theory and general relativity.
| Author | : Jiri Lebl |
| Publisher | : Lulu.com |
| Total Pages | : 142 |
| Release | : 2016-05-05 |
| Genre | : Science |
| ISBN | : 1365095576 |
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 University. The course covers basics of holomorphic function theory, CR geometry, the dbar problem, integral kernels and basic theory of complex analytic subvarieties. See http: //www.jirka.org/scv/ for more information.
| Author | : H. Grauert |
| Publisher | : Springer |
| Total Pages | : 372 |
| Release | : 2010-10-19 |
| Genre | : Mathematics |
| ISBN | : 9783642081507 |
The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.
| Author | : H. Grauert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 267 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642695825 |
... Je mehr ich tiber die Principien der Functionentheorie nachdenke - und ich thue dies unablassig -, urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C.R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E.N.S
| Author | : Elias M. Stein |
| Publisher | : Princeton University Press |
| Total Pages | : 83 |
| Release | : 2015-03-08 |
| Genre | : Mathematics |
| ISBN | : 1400871263 |
This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which emphasizes the potential-theoretic aspects of the boundary value problem, should become the standard work in the field. Originally published in 1972. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
