2 edition of introduction to complex analysis in several variables. found in the catalog.
introduction to complex analysis in several variables.
Bibliography: p. 204-206.
|Series||The University series in higher mathematics|
|LC Classifications||QA331 .H64|
|The Physical Object|
|Pagination||x, 208 p.|
|Number of Pages||208|
|LC Control Number||66002809|
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. 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.
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 Problem as the 5/5(4). Search in this book series. An Introduction to Complex Analysis in Several Variables. Edited by Lars Hormander. Volume 7, Pages ii-x, () Download full volume. Previous volume. Chapter II Elementary Properties of Functions of Several Complex Variables Pages Download PDF.
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 - $ 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.
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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 become acquainted with the by: I started to learn several complex variables a few weeks ago, and I noticed the absolute lack of textbooks on the subject.
Probably the book that comes more naturally as an extension of undergraduate complex analysis is Gunning and Rossi, but this title is out-of-print (even finding a used copy is nearly by: 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 faced 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.
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.
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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.
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This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as. In many areas of modern mathematics, the mastery of the foundations of higher-dimensional complex analysis has become necessary for any specialist.
Intended as a first study of higher-dimensional complex analysis, this book covers the theory of holomorphic functions of several complex variables, holomorphic mappings, and submanifolds of complex. The theory of functions of several complex variables is the branch of mathematics dealing with complex-valued functions (, ,)on the space C n 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 series in. Taschenbuch. Condition: Neu.
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).
An Introduction to Complex Analysis in Several Variables (2nd ed.) (ISSN series) by L. Hormander. Purchase An Introduction to Complex Analysis in Several Variables, Volume 7 - 3rd Edition. Print Book & E-Book. ISBNBook Edition: 3. Steven G. Krantz, Function Theory of Several Complex Variables, second edition, This textbook is widely cited.
The author has written many other books, some of which have to do with multidimensional complex analysis.
Robert C. Gunning and Hugo Rossi, Analytic Functions of Several Complex Variables, Now a bit dated, this is the book. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other.
The book provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics Mathematical Reviews. The book under review provides a refreshing presentation of both classical and modern topics in and relating to complex analysis, which will be appreciated by mature undergraduates, budding graduate students, and even research.
$\begingroup$ 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.
An Introduction to Complex Analysis in Several Variables: L. Hormander: Books - (3). 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.
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.
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 theorem.Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and.An Introduction to Complex Analysis.
Sandra Pinelas Ravi P. Agarwal • Kanishka Perera An Introduction to Complex Analysis. Mathematics Subject Classification () form an integral part of the book, and every reader is urged to attempt most,ifnotallofthem. Fortheconvenienceofthereader,wehaveprovided Size: 2MB.