Hardcover ISBN:  9781470447816 
Product Code:  TEXT/42 
List Price:  $75.00 
MAA Member Price:  $56.25 
AMS Member Price:  $56.25 
eBook ISBN:  9781470448349 
Product Code:  TEXT/42.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9781470447816 
eBook: ISBN:  9781470448349 
Product Code:  TEXT/42.B 
List Price:  $144.00 $109.50 
MAA Member Price:  $108.00 $82.13 
AMS Member Price:  $108.00 $82.13 
Hardcover ISBN:  9781470447816 
Product Code:  TEXT/42 
List Price:  $75.00 
MAA Member Price:  $56.25 
AMS Member Price:  $56.25 
eBook ISBN:  9781470448349 
Product Code:  TEXT/42.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9781470447816 
eBook ISBN:  9781470448349 
Product Code:  TEXT/42.B 
List Price:  $144.00 $109.50 
MAA Member Price:  $108.00 $82.13 
AMS Member Price:  $108.00 $82.13 

Book DetailsAMS/MAA TextbooksVolume: 42; 2018; 240 ppMSC: Primary 57
Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upperlevel mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and threedimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of pointset topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higherdimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

Table of Contents

Chapters

Chapter 1. Deformations

Chapter 2. Knots and Links

Chapter 3. Surfaces

Chapter 4. Threedimensional Manifolds

5. Fixed Points

Chapter 6. The Fundamental Group

Chapter 7. Metric and Topological Spaces


Reviews

A marvelous introduction to geometric topology for students with mathematical talent, but not much mathematical experience.
W. B. Raymond Likorish, University of Cambridge


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Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upperlevel mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and threedimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of pointset topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higherdimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

Chapters

Chapter 1. Deformations

Chapter 2. Knots and Links

Chapter 3. Surfaces

Chapter 4. Threedimensional Manifolds

5. Fixed Points

Chapter 6. The Fundamental Group

Chapter 7. Metric and Topological Spaces

A marvelous introduction to geometric topology for students with mathematical talent, but not much mathematical experience.
W. B. Raymond Likorish, University of Cambridge