Methods of the Theory of Functions of Many Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Methods of the Theory of Functions of Many Complex Variables write by Vasiliy Sergeyevich Vladimirov. This book was released on 2007-01-01. Methods of the Theory of Functions of Many Complex Variables available in PDF, EPUB and Kindle. 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.
Analytic Functions of Several Complex Variables
Analytic Functions of Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Functions of Several Complex Variables write by Robert Clifford Gunning. This book was released on 2009. Analytic Functions of Several Complex Variables available in PDF, EPUB and Kindle. The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title intends to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces.
Function Theory of One Complex Variable
Function Theory of One Complex Variable - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Function Theory of One Complex Variable write by Robert Everist Greene. This book was released on 2006. Function Theory of One Complex Variable available in PDF, EPUB and Kindle. 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.
Elementary Theory of Analytic Functions of One or Several Complex Variables
Elementary Theory of Analytic Functions of One or Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elementary Theory of Analytic Functions of One or Several Complex Variables write by Henri Cartan. This book was released on 2013-04-22. Elementary Theory of Analytic Functions of One or Several Complex Variables available in PDF, EPUB and Kindle. 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.
Lectures Introductory to the Theory of Functions of Two Complex Variables
Lectures Introductory to the Theory of Functions of Two Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures Introductory to the Theory of Functions of Two Complex Variables write by Andrew Russell Forsyth. This book was released on 1914. Lectures Introductory to the Theory of Functions of Two Complex Variables available in PDF, EPUB and Kindle.
