Author: Gennadiĭ Mikhaĭlovich GoluzinPublisher: American Mathematical Soc.
ISBN: 9780821886557
Category : Functions of complex variables
Languages : en
Pages : 690
Book Description
Geometric Theory of Functions of a Complex Variable
Author: Gennadiĭ Mikhaĭlovich GoluzinPublisher: American Mathematical Soc.
ISBN: 9780821886557
Category : Functions of complex variables
Languages : en
Pages : 690
Book Description
Geometric Function Theory
Author: Steven G. KrantzPublisher: Springer Science & Business Media
ISBN: 0817644407
Category : Mathematics
Languages : en
Pages : 311
Book Description
* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations
Geometric Theory of Functions of a Complex Variable
Author: G. M. GoluzinPublisher:
ISBN: 9781470444433
Category : Functions of complex variables
Languages : en
Pages : 687
Book Description
This book is based on lectures on geometric function theory given by the author at Leningrad State University. It studies univalent conformal mapping of simply and multiply connected domains, conformal mapping of multiply connected domains onto a disk, applications of conformal mapping to the study of interior and boundary properties of analytic functions, and general questions of a geometric nature dealing with analytic functions. The second Russian edition upon which this English translation is based differs from the first mainly in the expansion of two chapters and in the addition of a long.
Function Theory of Several Complex Variables
Author: Steven George KrantzPublisher: American Mathematical Soc.
ISBN: 0821827243
Category : Functions of several complex variables
Languages : en
Pages : 586
Book Description
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Function Theory of One Complex Variable
Author: Robert Everist GreenePublisher: American Mathematical Soc.
ISBN: 9780821839621
Category : Mathematics
Languages : en
Pages : 536
Book Description
Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.
LECTURES ON THE THEORY OF FUNCTIONS OF A COMPLEX VARIABLE.
Author: Extremal Problems of the Geometric Theory of Functions
Author: I︠U︡. E. Alenit︠s︡ynPublisher: American Mathematical Soc.
ISBN: 9780821818947
Category : Mathematics
Languages : en
Pages : 180
Book Description
"The present collection consists of papers on various problems in the geometric theory of functions of a complex variable." -- Preface.
Introduction to Geometric Function Theory of Hypercomplex Variables
Author: Sorin G. GalPublisher: Nova Publishers
ISBN: 9781590333648
Category : Mathematics
Languages : en
Pages : 340
Book Description
Introduction to Geometric Function Theory of Hypercomplex Variables
Several Complex Variables III
Author: G.M. KhenkinPublisher: Springer Science & Business Media
ISBN: 364261308X
Category : Mathematics
Languages : en
Pages : 265
Book Description
We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space
Geometric Complex Analysis
Author: Jisoo ByunPublisher: Springer
ISBN: 9811316724
Category : Mathematics
Languages : en
Pages : 361
Book Description
The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.