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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 : 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 : 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:
Author : Bruce P. Palka
Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 27X/5 ( reviews)
Book Synopsis An Introduction to Complex Function Theory by : Bruce P. Palka
Download or read book An Introduction to Complex Function Theory written by Bruce P. Palka. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowledge of calculus. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without sidestepping any issues of rigor. The emphasis throughout is a geometric one, most pronounced in the extensive chapter dealing with conformal mapping, which amounts essentially to a "short course" in that important area of complex function theory. Each chapter concludes with a wide selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.
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.
