elementary theory of analytic functions of one or several complex variables dover books on mathematics

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Elementary Theory Of Analytic Functions Of One Or Several Complex Variables

Author : Henri Cartan
ISBN : 9780486318677
Genre : Mathematics
File Size : 75. 99 MB
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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.

Elementary Theory Of Analytic Functions Of One Or Several Complex Variables

Author : Henri Cartan
ISBN : 9780486685434
Genre : Mathematics
File Size : 86. 51 MB
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Basic treatment of the theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a theory of abstract complex manifolds of one complex dimension; holomorphic functions; Cauchy's integral, more. Exercises. 1973 edition.

Elementary Theory Of Analytic Functions Of One Or Several Complex Variables

Author : Henri Cartan
ISBN : 0486685438
Genre : Mathematics
File Size : 64. 57 MB
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Basic treatment of the theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a theory of abstract complex manifolds of one complex dimension; holomorphic functions; Cauchy's integral, more. Exercises. 1973 edition.

Several Complex Variables

Author : Raghavan Narasimhan
ISBN : 0226568172
Genre : Mathematics
File Size : 26. 48 MB
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Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several complex variables pertaining to unramified domains over C . Topics discussed are Hartogs' theory, domains in holomorphy, and automorphism of bounded domains.

Introductory Complex Analysis

Author : Richard A. Silverman
ISBN : 9780486318523
Genre : Mathematics
File Size : 59. 31 MB
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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Holomorphic Functions And Integral Representations In Several Complex Variables

Author : R. Michael Range
ISBN : 9781475719185
Genre : Mathematics
File Size : 90. 54 MB
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The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.

Complex Variables Harmonic And Analytic Functions

Author : Francis J. Flanigan
ISBN : UOM:39015015694329
Genre : Analytic functions
File Size : 58. 18 MB
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Complex Variables

Author : Robert B. Ash
ISBN : CORNELL:31924107146288
Genre : Mathematics
File Size : 80. 25 MB
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This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. An introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.

A Collection Of Problems On Complex Analysis

Author : Lev Izrailevich Volkovyski?
ISBN : 9780486669137
Genre : Mathematics
File Size : 42. 37 MB
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Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.

Geometry Of Complex Numbers

Author : Hans Schwerdtfeger
ISBN : 9780486135861
Genre : Mathematics
File Size : 67. 72 MB
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

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