Several Complex Variables I. Introduction to Complex Analysis (Encyclopaedia of Mathematical Sciences Vol. 7)
Kurzbeschreibung More than four volumes of the Encyclopaedia of Mathematical Sciences present surveys in different branches of complex analysis in several variables including applications. This volume consists of 5 contributions. The first one presents a brief discussion of some crucial facts of complex analysis. The other contributions give extended surveys in integral representation theory, complex analytic sets, holomorphic mappings and geometry of surfaces, and multidimensional residue theory. Complete information on modern methods and results in complex analysis is given. This volume is rounded off with an extensive bibliography. This volume is the first in complex analysis and is mainly addressed to graduate students and researchers. It can also be used as a reference book for mathematicians working in related areas. Synopsis This volume consists of 5 contributions. The first one presents a brief discussion of some important facts of complex analysis. The other contributions give extended surveys in integral representation theory, complex analytic sets, holomorphic mappings and geometry of surfaces, and multidimensional residue theory. Complete information on modern methods and results in complex analysis is given.
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