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 |
| 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 |
| 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 |
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 |
| 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 |
| 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 |
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Book DetailsGraduate Studies in MathematicsVolume: 83; 2007; 312 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in several complex variables and complex algebraic geometry.
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Table of Contents
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Chapters
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Chapter 1. Riemann surfaces
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Chapter 2. Holomorphic functions of several variables
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Chapter 3. Isolated singularities of holomorphic functions
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Chapter 4. Fundamentals of differential topology
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Chapter 5. Topology of singularities
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Additional Material
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Reviews
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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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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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.
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
