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From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche

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Published by Springer .
Written in English


Book details:

The Physical Object
Number of Pages407
ID Numbers
Open LibraryOL7448905M
ISBN 100387953957
ISBN 109780387953953

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Get this from a library! From holomorphic functions to complex manifolds. [Klaus Fritzsche; Hans Grauert] -- "This book is an introduction to the theory of complex manifolds. The authors' intent is to familiarize the reader with the most important branches and methods in complex analysis of several.   From Holomorphic Functions to Complex Manifolds "A valuable addition to the literature."-MATHEMATICAL REVIEW "The book is a nice introduction to the theory of complex manifolds. The authors' intention is to introduce the reader in a simple way to the most important branches and methods in the theory of several complex variables. 4/5(1). From Holomorphic Functions to Complex Manifolds. Authors (view affiliations) Klaus Fritzsche; Hans Grauert; This book is an introduction to the theory of complex manifolds. The author's intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as. From the reviews:MATHEMATICAL REVIEWS"This new book is a valuable addition to the literature."K. Fritzsche and H. GrauertFrom Holomorphic Functions to Complex Manifolds"A valuable addition to the The authors' intention is to introduce the reader in a simple way to the most important branches and methods in the theory of several complex.

IV Complex Manifolds The Complex Structure.- Complex Coordinates.- Holomorphic Functions.- Riemann Surfaces.- Holomorphic Mappings.- Cartesian Products.- Analytic Subsets.- Differentiable Functions.- Tangent Vectors.- The Complex Structure on the Space of Derivations.- The Induced Mapping.- Immersions and Submersions.- Gluing Complex. From Holomorphic Functions to Complex Manifolds | Klaus Fritzsche, Hans Grauert | download | B–OK. Download books for free. Find books. Holomorphic functions satisfy a maximum principle, as may be seen by restricting to lines and applying the one-variable version. Proposition Let ∆ be a polydisk. If f: ∆ →C is holomorphic and if |f|has a local maximum at p∈∆, then fis constant on ∆. A remarkable extension result for File Size: KB.   The aim of this book is to give an understandable introduction to the the ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible.

Holomorphic functions are also sometimes referred to as regular functions. A holomorphic function whose domain is the whole complex plane is called an entire function. The phrase "holomorphic at a point z0 " means not just differentiable at z0, but differentiable everywhere within some neighbourhood of z0 in the complex plane. 5 Several variables. Key words and phr ases. almost complex manifolds, J-holomorphic functions, Nijenhuis tensor, Newlander-Nirenberg theorem. First author was partially supported by NRF-Korea   Buy From Holomorphic Functions to Complex Manifolds (Graduate Texts in Mathematics) by Fritzsche, Klaus, Grauert, Hans (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(1). Find many great new & used options and get the best deals for Graduate Texts in Mathematics: From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche and Hans Grauert (, Paperback) at the best online prices at eBay! Free shipping for many products!