Hardcover ISBN: | 978-1-4704-1020-9 |
Product Code: | GSM/151 |
List Price: | $135.00 |
MAA Member Price: | $121.50 |
AMS Member Price: | $108.00 |
eBook ISBN: | 978-1-4704-1558-7 |
Product Code: | GSM/151.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Hardcover ISBN: | 978-1-4704-1020-9 |
eBook: ISBN: | 978-1-4704-1558-7 |
Product Code: | GSM/151.B |
List Price: | $220.00 $177.50 |
MAA Member Price: | $198.00 $159.75 |
AMS Member Price: | $176.00 $142.00 |
Hardcover ISBN: | 978-1-4704-1020-9 |
Product Code: | GSM/151 |
List Price: | $135.00 |
MAA Member Price: | $121.50 |
AMS Member Price: | $108.00 |
eBook ISBN: | 978-1-4704-1558-7 |
Product Code: | GSM/151.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Hardcover ISBN: | 978-1-4704-1020-9 |
eBook ISBN: | 978-1-4704-1558-7 |
Product Code: | GSM/151.B |
List Price: | $220.00 $177.50 |
MAA Member Price: | $198.00 $159.75 |
AMS Member Price: | $176.00 $142.00 |
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Book DetailsGraduate Studies in MathematicsVolume: 151; 2014; 286 ppMSC: Primary 57
This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology.
The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialized topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex.
With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds.
ReadershipGraduate students and research mathematicians interested in low-dimensional topology.
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Table of Contents
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Chapters
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Chapter 1. Perspectives on manifolds
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Chapter 2. Surfaces
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Chapter 3. 3-manifolds
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Chapter 4. Knots and links in 3-manifolds
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Chapter 5. Triangulated 3-manifolds
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Chapter 6. Heegaard splittings
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Chapter 7. Further topics
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Appendix A. General position
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Appendix B. Morse functions
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Additional Material
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Reviews
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The present book is a mixture of an introductory text book on the geometric-topological theory of 3-manifolds and a guide to some recent developments; it contains a lot of information and is written in a nice and intuitive way which makes it pleasant to read.
Zentralblatt Math -
...Schultens has written an excellent book that richly illustrates the scope of her chosen subject. It is very well written, clear and explicit in its presentation. There are plenty of exercises, and the book has been laboratory tested, so to speak, since it grew out of Schultens' graduate course on 3-manifolds at Emory University ... it will also serve very well indeed as a source for self-study.
MAA Reviews
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – 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
This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology.
The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialized topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex.
With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds.
Graduate students and research mathematicians interested in low-dimensional topology.
-
Chapters
-
Chapter 1. Perspectives on manifolds
-
Chapter 2. Surfaces
-
Chapter 3. 3-manifolds
-
Chapter 4. Knots and links in 3-manifolds
-
Chapter 5. Triangulated 3-manifolds
-
Chapter 6. Heegaard splittings
-
Chapter 7. Further topics
-
Appendix A. General position
-
Appendix B. Morse functions
-
The present book is a mixture of an introductory text book on the geometric-topological theory of 3-manifolds and a guide to some recent developments; it contains a lot of information and is written in a nice and intuitive way which makes it pleasant to read.
Zentralblatt Math -
...Schultens has written an excellent book that richly illustrates the scope of her chosen subject. It is very well written, clear and explicit in its presentation. There are plenty of exercises, and the book has been laboratory tested, so to speak, since it grew out of Schultens' graduate course on 3-manifolds at Emory University ... it will also serve very well indeed as a source for self-study.
MAA Reviews