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Author : Edward Thomas Copson
Release : 1946
Genre : Functions of complex variables
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis An Introduction to the Theory of Functions of a Complex Variable by : Edward Thomas Copson
Download or read book An Introduction to the Theory of Functions of a Complex Variable written by Edward Thomas Copson. This book was released on 1946. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vasiliy Sergeyevich Vladimirov
Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 121/5 ( reviews)
Book Synopsis Methods of the Theory of Functions of Many Complex Variables by : Vasiliy Sergeyevich Vladimirov
Download or read book Methods of the Theory of Functions of Many Complex Variables written by Vasiliy Sergeyevich Vladimirov. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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
Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 621/5 ( reviews)
Book Synopsis Function Theory of One Complex Variable by : Robert Everist Greene
Download or read book Function Theory of One Complex Variable written by Robert Everist Greene. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Donald Sarason
Release : 2021-02-16
Genre : Mathematics
Kind : eBook
Book Rating : 237/5 ( reviews)
Book Synopsis Complex Function Theory by : Donald Sarason
Download or read book Complex Function Theory written by Donald Sarason. This book was released on 2021-02-16. Available in PDF, EPUB and Kindle. Book excerpt: Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.
Author : J. B. Conway
Release : 1973-10-16
Genre :
Kind : eBook
Book Rating : 739/5 ( reviews)
Book Synopsis Functions of One Complex Variable by : J. B. Conway
Download or read book Functions of One Complex Variable written by J. B. Conway. This book was released on 1973-10-16. Available in PDF, EPUB and Kindle. Book excerpt:
