Functions of several complex variables and their singularities
著者
書誌事項
Functions of several complex variables and their singularities
(Graduate studies in mathematics, v. 83)
American Mathematical Society, c2007
- タイトル別名
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Funktionentheorie, Differentialtopologie und Singularitäten
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注記
Translation of: Funktionentheorie, Differentialtopologie und Singularitäten
Includes bibliographical references (p. 303-306) and index
内容説明・目次
内容説明
The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
目次
Riemann surfaces Holomorphic functions of several variables Isolated singularities of holomorphic functions Fundamentals of differential topology Topology of singularities Bibliography Index.
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