Several Complex Variables and Complex Manifolds
Title | Several Complex Variables and Complex Manifolds PDF eBook |
Author | Mike Field |
Publisher | Cambridge University Press |
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.
Several Complex Variables and Complex Manifolds I
Title | Several Complex Variables and Complex Manifolds I PDF eBook |
Author | Mike Field |
Publisher | Cambridge University Press |
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.
Several Complex Variables VII
Title | Several Complex Variables VII PDF eBook |
Author | H. Grauert |
Publisher | Springer Science & Business Media |
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.
Complex Differential Geometry
Title | Complex Differential Geometry PDF eBook |
Author | Fangyang Zheng |
Publisher | American Mathematical Soc. |
Pages | 275 |
Release | 2000 |
Genre | Mathematics |
ISBN | 0821829602 |
Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.
From Holomorphic Functions to Complex Manifolds
Title | From Holomorphic Functions to Complex Manifolds PDF eBook |
Author | Klaus Fritzsche |
Publisher | Springer Science & Business Media |
Pages | 406 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 146849273X |
This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
Several Complex Variables IV
Title | Several Complex Variables IV PDF eBook |
Author | Semen G. Gindikin |
Publisher | Springer Science & Business Media |
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.
Elementary Theory of Analytic Functions of One or Several Complex Variables
Title | Elementary Theory of Analytic Functions of One or Several Complex Variables PDF eBook |
Author | Henri Cartan |
Publisher | Courier Corporation |
Pages | 242 |
Release | 2013-04-22 |
Genre | Mathematics |
ISBN | 0486318672 |
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.