Theory Of Complex Functions

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Theory of Complex Functions

Author: Reinhold Remmert
language: en
Publisher: Springer Science & Business Media
Release Date: 1991
Material from function theory up to residue calculus is covered here in a lively and vivid style. Also included is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Students making their way into a classical area of mathematics will find Theory of Complex Functions very useful. It includes many examples and practice exercises, and offers quick access to essential results. Teachers and mathematicians will also enjoy reading this book.
Complex Function Theory

Author: Donald Sarason
language: en
Publisher: American Mathematical Soc.
Release Date: 2007-12-20
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

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.