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Functions of Several Complex Variables and Their Singularities
 
Wolfgang Ebeling Leibniz Universität Hannover, Hannover, Germany

Translated by Philip G. Spain

Functions of Several Complex Variables and Their Singularities
Hardcover ISBN:  978-0-8218-3319-3
Product Code:  GSM/83
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Sale Price: $64.35
eBook ISBN:  978-1-4704-2113-7
Product Code:  GSM/83.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Sale Price: $55.25
Hardcover ISBN:  978-0-8218-3319-3
eBook: ISBN:  978-1-4704-2113-7
Product Code:  GSM/83.B
List Price: $184.00 $141.50
MAA Member Price: $165.60 $127.35
AMS Member Price: $147.20 $113.20
Sale Price: $119.60 $91.98
Functions of Several Complex Variables and Their Singularities
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Functions of Several Complex Variables and Their Singularities
Wolfgang Ebeling Leibniz Universität Hannover, Hannover, Germany

Translated by Philip G. Spain

Hardcover ISBN:  978-0-8218-3319-3
Product Code:  GSM/83
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Sale Price: $64.35
eBook ISBN:  978-1-4704-2113-7
Product Code:  GSM/83.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Sale Price: $55.25
Hardcover ISBN:  978-0-8218-3319-3
eBook ISBN:  978-1-4704-2113-7
Product Code:  GSM/83.B
List Price: $184.00 $141.50
MAA Member Price: $165.60 $127.35
AMS Member Price: $147.20 $113.20
Sale Price: $119.60 $91.98
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 832007; 312 pp
    MSC: Primary 32; Secondary 58;

    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.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Riemann surfaces
    • Chapter 2. Holomorphic functions of several variables
    • Chapter 3. Isolated singularities of holomorphic functions
    • Chapter 4. Fundamentals of differential topology
    • Chapter 5. Topology of singularities
  • Reviews
     
     
    • The book contains a lot of illustrative pictures and diagrams substantially helping the geometric intuition of the reader.

      European Mathematical Society Newsletter
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 832007; 312 pp
MSC: Primary 32; Secondary 58;

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.

  • Chapters
  • Chapter 1. Riemann surfaces
  • Chapter 2. Holomorphic functions of several variables
  • Chapter 3. Isolated singularities of holomorphic functions
  • Chapter 4. Fundamentals of differential topology
  • Chapter 5. Topology of singularities
  • The book contains a lot of illustrative pictures and diagrams substantially helping the geometric intuition of the reader.

    European Mathematical Society Newsletter
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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