An Introduction To Complex Function Theory


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An Introduction to Complex Function Theory


An Introduction to Complex Function Theory

Author: Bruce P. Palka

language: en

Publisher: Springer Science & Business Media

Release Date: 1991


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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.

Complex Function Theory


Complex Function Theory

Author: Donald Sarason

language: en

Publisher: American Mathematical Soc.

Release Date: 2007-12-20


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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.

Elementary Theory of Analytic Functions of One or Several Complex Variables


Elementary Theory of Analytic Functions of One or Several Complex Variables

Author: Henri Cartan

language: en

Publisher: Courier Corporation

Release Date: 2013-04-22


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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.