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Functions of Several Complex Variables and Their Singularities
Wolfgang Ebeling, Leibniz Universität Hannover, Germany
Translated by Philip G. Spain
cover
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Graduate Studies in Mathematics
2007; 312 pp; hardcover
Volume: 83
ISBN-10: 0-8218-3319-7
ISBN-13: 978-0-8218-3319-3
List Price: US$61
Member Price: US$48.80
Order Code: GSM/83
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See also:

Analytic Functions of Several Complex Variables - Robert C Gunning and Hugo Rossi

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.

Readership

Graduate students and research mathematicians interested in several complex variables and complex algebraic geometry.

Reviews

"The book contains a lot of illustrative pictures and diagrams substantially helping the geometric intuition of the reader."

-- European Mathematical Society Newsletter

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