
Softcover ISBN: | 978-1-4704-7474-4 |
Product Code: | CWORKS/27.4.S |
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eBook ISBN: | 978-1-4704-6836-1 |
Product Code: | CWORKS/27.4.E |
List Price: | $50.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $40.00 |
Softcover ISBN: | 978-1-4704-7474-4 |
eBook: ISBN: | 978-1-4704-6836-1 |
Product Code: | CWORKS/27.4.S.B |
List Price: | $100.00 $75.00 |
MAA Member Price: | $90.00 $67.50 |
AMS Member Price: | $80.00 $60.00 |

Softcover ISBN: | 978-1-4704-7474-4 |
Product Code: | CWORKS/27.4.S |
List Price: | $50.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $40.00 |
eBook ISBN: | 978-1-4704-6836-1 |
Product Code: | CWORKS/27.4.E |
List Price: | $50.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $40.00 |
Softcover ISBN: | 978-1-4704-7474-4 |
eBook ISBN: | 978-1-4704-6836-1 |
Product Code: | CWORKS/27.4.S.B |
List Price: | $100.00 $75.00 |
MAA Member Price: | $90.00 $67.50 |
AMS Member Price: | $80.00 $60.00 |
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Book DetailsCollected WorksVolume: 27; 2022; 316 ppMSC: Primary 57; 53
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy.
This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff.
Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
ReadershipGraduate students and researchers interested in geometric topology, geometric group theory, low-dimensional topology, and dynamical systems of rational maps.
This item is also available as part of a set: -
Table of Contents
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Cover
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1/2 title
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Title page
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Copyright page
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Contents
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Publisher’s note
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Editor’s preface
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Introduction
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Geometry and three-manifolds
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Elliptic and hyperbolic geometry
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Geometric structures on manifolds
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Hyperbolic Dehn surgery
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Flexibility and rigidity of geometric structures
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Gromov’s invariant and the volume of a hyperbolic manifold
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Computation of volume
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Kleinian groups
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Algebraic convergence
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Note
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Deforming Kleinian manifolds by homeomorphisms of the sphere at infinity
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Orbifolds
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Index
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Other titles in this series
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Back Cover
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-
Additional Material
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Reviews
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These notes constitute the most influential text ever written on the topology and geometry of three-manifolds. Soon after they were released, they dramatically transformed the field of geometric topology in the sense that they gave it a completely new and unpredicted direction which turned out to be highly fecund, providing the necessary tools and techniques for the field development in this direction. Today, these notes remain fresh and the ideas they contain constitute an inexhaustible source of inspiration.
Athanase Papadopoulos (Strasbourg), zbMATHOpen
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy.
This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff.
Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
Graduate students and researchers interested in geometric topology, geometric group theory, low-dimensional topology, and dynamical systems of rational maps.
-
Cover
-
1/2 title
-
Title page
-
Copyright page
-
Contents
-
Publisher’s note
-
Editor’s preface
-
Introduction
-
Geometry and three-manifolds
-
Elliptic and hyperbolic geometry
-
Geometric structures on manifolds
-
Hyperbolic Dehn surgery
-
Flexibility and rigidity of geometric structures
-
Gromov’s invariant and the volume of a hyperbolic manifold
-
Computation of volume
-
Kleinian groups
-
Algebraic convergence
-
Note
-
Deforming Kleinian manifolds by homeomorphisms of the sphere at infinity
-
Orbifolds
-
Index
-
Other titles in this series
-
Back Cover
-
These notes constitute the most influential text ever written on the topology and geometry of three-manifolds. Soon after they were released, they dramatically transformed the field of geometric topology in the sense that they gave it a completely new and unpredicted direction which turned out to be highly fecund, providing the necessary tools and techniques for the field development in this direction. Today, these notes remain fresh and the ideas they contain constitute an inexhaustible source of inspiration.
Athanase Papadopoulos (Strasbourg), zbMATHOpen