Theory of Functions of a Complex Variable
Author : A. I. Markushevich
Publisher : American Mathematical Soc.
Page : 1178 pages
File Size : 31,45 MB
Release : 2013
Category : Analytic functions
ISBN : 082183780X
Author : A. I. Markushevich
Publisher : American Mathematical Soc.
Page : 1178 pages
File Size : 31,45 MB
Release : 2013
Category : Analytic functions
ISBN : 082183780X
Author : Narayan Shanti & Mittal P.K.
Publisher : S. Chand Publishing
Page : 624 pages
File Size : 35,27 MB
Release : 2005-03
Category : Science
ISBN : 8121906393
Theory of Functions of a Complex Variable
Author : Alekseĭ Georgievich Sveshnikov
Publisher :
Page : 344 pages
File Size : 45,70 MB
Release : 1978
Category : Mathematics
ISBN :
The complex variable and functions of a complex variable; Series of analytical functions; Analytic continuation elementary; The laurent series and isolated singular points; Residues and their applications; Conformal mapping; Analytic-functions in the solutions of boundary-value problems; Fundamentals of operational calculus; Saddle-point method; The wiener-hopf method; Functions of many complex variables.
Author : Vasiliy Sergeyevich Vladimirov
Publisher : Courier Corporation
Page : 370 pages
File Size : 33,82 MB
Release : 2007-01-01
Category : Mathematics
ISBN : 0486458121
This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 37,26 MB
Release : 2006
Category : Mathematics
ISBN : 9780821839621
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.
Author : Reinhold Remmert
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 47,50 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461209390
A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.
Author : Andrew Russell Forsyth
Publisher :
Page : 709 pages
File Size : 26,93 MB
Release : 1893
Category : Functions
ISBN :
Author : J. B. Conway
Publisher :
Page : 328 pages
File Size : 13,85 MB
Release : 1973-10-16
Category :
ISBN : 9781461599739
Author : Gennadiĭ Mikhaĭlovich Goluzin
Publisher : American Mathematical Soc.
Page : 690 pages
File Size : 16,49 MB
Release : 1969
Category : Functions of complex variables
ISBN : 9780821886557
Author : Henri Cartan
Publisher : Courier Corporation
Page : 242 pages
File Size : 33,52 MB
Release : 2013-04-22
Category : Mathematics
ISBN : 0486318672
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.