Introduction to Complex Analysis in Several Variables by Volker Scheidemann

Cover of: Introduction to Complex Analysis in Several Variables | Volker Scheidemann

Published by Birkhauser .

Written in English

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Subjects:

  • Complex analysis,
  • Mathematics,
  • Science/Mathematics,
  • Calculus,
  • Mathematical Analysis,
  • Biholomorphic maps,
  • Cartan-Thullen theory,
  • Complex variables,
  • Holomorphic functions,
  • Kugelsatz,
  • Mathematics / Mathematical Analysis,
  • Functions of several complex variables

Book details

The Physical Object
FormatPaperback
Number of Pages171
ID Numbers
Open LibraryOL9091043M
ISBN 10376437490X
ISBN 109783764374907

Download Introduction to Complex Analysis in Several Variables

This book provides a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem).Cited by: Along with the fact that it is one of the very few books on several complex variables still in print, this is a very valuable text, set in a high standard of excellence.

My only complaint is the obscenely high price for a book so by:   An Introduction to Complex Analysis in Several Variables.

COVID Update: We are currently shipping orders daily. However, due to transit disruptions in some geographies, deliveries may be delayed. To provide all customers with timely access to content, we are offering 50% off our Print & eBook bundle Edition: 3.

A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.5/5. An Introduction to Complex Analysis in Several Variables (2nd ed.) (ISSN series) by L.

Hormander. Journals & Books; Register Sign in. Sign in Register. Journals & Books; Help; North-Holland Mathematical Library. Latest volume All volumes. Search in this book series. An Introduction to Complex Analysis in Several Variables. Edited by Lars Hormander.

Volume 7, select article Chapter II Elementary Properties of Functions of Several Complex. An Introduction to Complex Analysis in Several Variables - Lars Hörmander - Google Books.

A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main Introduction to Complex Analysis in Several Variables book.

The additions made in this third, revised. An introduction to complex analysis in several variables. A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.

Functions of Several Variables. Author: Boris Vladimirovich Shabat; Publisher: American Mathematical Soc. ISBN: Category: Functions of complex variables Page: View: DOWNLOAD NOW» Since the s, there has been a flowering in higher-dimensional complex analysis.

The idea for this book came when I was an assistant at the Department of Mathe-matics and Computer Science at the Philipps-University Marburg, Germany. Sev-eral times I Introduction to Complex Analysis in Several Variables book the task of supporting lectures and seminars on complex analysis of several variables and found out that there are very few books on the subject.

Purchase An Introduction to Complex Analysis in Several Variables, Volume 7 - 2nd Edition. E-Book. ISBN Book Edition: 2. An Introduction to Complex Analysis in Several Variables.

Search; Images; Maps; Play; YouTube; News; Gmail; Drive; An Introduction to Complex Analysis in Several Variables. Contents. Chapter I Analytic Functions of One Complex Variable. 1: Chapter II Elementary Properties of Functions of Several Complex Variables.

A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.

The additions made in this third, revised edition place additional stress on results where Price Range: $15 - $ $\begingroup$ Well,the objects of functions of several complex variables are manifolds with a complex topological vector space ore,they are the centerpieces of the bulk of postth century analysis and geometry and the tools of sheaf theory via commutative algebra are deeply interwoven in a result of all this,any "pure" approach-say,emphasizing analysis-only tells part.

This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results.

Neuware - This book provides a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem).

This is a book written with the student in mind: it offers a concise treatment of complex analysis in several variables, by focusing on special topics rather than trying to be a comprehensive The main importance of this book is the fact that it fills a void: there are relatively few books on several complex variables.

Complex analysis is an active research subject in itself, but, even more, it provides the foundation for broad areas of mathematics, and plays an important role in the applications of mathematics to engineering.

This book is intended to provide a classical introduction to complex analysis for university students in the sciences and engineering. Book Description ELSEVIER SCIENCE & TECHNOLOGY, United States, Hardback.

Condition: New. 3rd edition. Language: English. Brand new Book. A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann 5/5(4).

The theory of functions of several complex variables is the branch of mathematics dealing with complex-valued functions f {\displaystyle f} on the space Cn of n-tuples of complex numbers.

As in complex analysis, which is the case n = 1 but of a distinct character, these are not just any functions: they are supposed to be holomorphic or complex analytic, so that locally speaking they are power.

The title of this book was taken from the series of papers to which Dr. Kiyoshi Oka devoted his life: “Sur les fonctions analytiques de plusieurs variables.” A term such as “complex function theory in several variables,”“function theory in several complex variables,” or “complex analysis in several variables” is.

Find many great new & used options and get the best deals for An Introduction to Complex Analysis in Several Variables Lars Hormander Vintage at the best online prices at Seller Rating: % positive.

The aim of this two hour introduction is 1. to show that part of complex analysis in several variables can be obtained from the one-dimensional theory essentially by replacing indices with multi-indices.

Examples of results which extend are Cauchy’s theorem, the Taylor expansion, the open mapping theorem or the maximum File Size: KB. A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.

4 1. COMPLEX FUNCTIONS ExerciseConsiderthesetofsymbolsx+iy+ju+kv,where x, y, u and v are real numbers, and the symbols i, j, k satisfy i2 = j2 = k2 = ¡1,ij = ¡ji = k,jk = ¡kj = i andki = ¡ik = that using these relations and calculating with the same formal rules asindealingwithrealnumbers,weobtainaskewfield;thisisthesetFile Size: KB.

Introduction These lectures will give an introduction to several complex variables. We will generally follow the classical book by Hormander, An Introduction to complex analysis in several variables.

The notes will add some more details to the text of Hormander, especially after the introductory by: 2. An Introduction to Complex Analysis in Several Variables: L.

Hormander: Books - (3). The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a course. To that end, a lot of examples and supporting exercises are inserted throughout the text, which will help students to.

An Introduction to Complex Analysis. Sandra Pinelas Ravi P. Agarwal • Kanishka Perera An Introduction to Complex firstwe introduce a complex-valuedfunctionof a com-plex variable and then for such functions define the concept of limit and form an integral part of the book, and every reader is urged to attemptFile Size: 2MB.

Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of complex analysis of one and several complex variables as well as with real and functional analysis. The monograph is largely self-contained and develops the harmonic analysis of several complex variables from the first principles.

I have always had a soft spot for Gunning and Rossi ("Analytic Functions of Several Complex Variables"), probably because it is more "algebraic" in its approach) (sheaves, local rings, and so on.

Hormander's "Introduction to Complex Analysis in Several Variables" takes what I always thought was a more "analytic" approach.

Several Complex Variables JaapKorevaar,JanWiegerinck [email protected] there are similarities between complex analysis mathematician Oka, who has made fundamental contributions to complex analysis in several variables,beginningabout,cf.[44].File Size: 1MB.

Introduction to Complex Variables. These are the sample pages from the textbook, 'Introduction to Complex Variables'. This book covers the following topics: Complex numbers and inequalities, Functions of a complex variable, Mappings, Cauchy-Riemann equations, Trigonometric and hyperbolic functions, Branch points and branch cuts, Contour integration, Sequences and series, The residue.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

algebra. The rst part treats analysis in one variable, and the text [44] was written to cover that material. The text at hand treats analysis in several variables. These two texts can be used as companions, but they are written so that they can be used independently, if desired. Chapter 1 treats background needed for multivariable analysis.

The rstFile Size: 1MB. Introduction to Complex Analysis - excerpts B.V. Shabat June 2, 2. Chapter 1 The Holomorphic Functions We begin with the description of complex numbers and their basic algebraic properties. We will assume that the reader had some previous encounters with the complex numbers and will be fairly brief, with the emphasis on some specifics.

I hugely like this one, Complex Analysis (Princeton Lectures in Analysis, No. 2): Elias M. Stein, Rami Shakarchi: : Books Its not just an exceptionally good complex analysis book but it also provides a soft start towards.

My favorite is Narasimhan and Nievergelt's book, whose exposition is heavily influenced by ideas from several complex variables and differential geometry. It also contains Wolff's elementary proof of the Corona theorem, which is one of the gems of post's complex analysis.

An Introduction to Complex Analysis. Sandra Pinelas Ravi P. Agarwal • Kanishka Perera An Introduction to Complex firstwe introduce a complex-valuedfunctionof a com-plex variable and then for such functions define the concept of limit and form an integral part of the book, and every reader is urged to attemptFile Size: KB.

Chapter 7 Integrals of Functions of Several Variables Definition and Existence of the Multiple Integral Iterated Integrals and Multiple Integrals Change of Variables in Multiple Integrals Chapter 8 Metric Spaces Introduction to Metric Spaces Compact Sets in a Metric Space.

The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundamental results.5 + $ " 6 7 " 7 $ 8 # *!

+ $ +# $ ' - 9:; " 9:; Ch: 1 2 3 4 5 6 7 5 () TOC Index - ') - & # ' (' # ' & % '.Offered by Wesleyan University. This course provides an introduction to complex analysis which is the theory of complex functions of a complex variable. We will start by introducing the complex plane, along with the algebra and geometry of complex numbers, and then we will make our way via differentiation, integration, complex dynamics, power series representation and Laurent series into.

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