Synopses & Reviews
This new-in-paperback introduction to topology emphasizes a geometric approach with a focus on surfaces. A primary feature is a large collection of exercises and projects, which fosters a teaching style that encourages the student to be an active class participant. A wide range of material at different levels supports flexible use of the book for a variety of students. Part I is appropriate for a one-semester or two-quarter course, and Part II (which is problem based) allows the book to be used for a year-long course which supports a variety of syllabuses.
The over 750 exercises range from simple checks of omitted details in arguments, to reinforce the material and increase student involvement, to the development of substantial theorems that have been broken into many steps. The style encourages an active student role. Solutions to selected exercises are included as an appendix, with solutions to all exercises available to the instructor on a companion website.
Review
"This thought-provoking book is an introductory text for a topology, with a strong emphasis on manifolds and on basic algebraic topologyThe reviewer is intrigued enough to plan to use this book in a first-year graduate course nest year."--Mathematical Reviews
Review
"This thought-provoking book is an introductory text for a topology, with a strong emphasis on manifolds and on basic algebraic topologyThe reviewer is intrigued enough to plan to use this book in a first-year graduate course nest year."--Mathematical Reviews
Synopsis
This introduction to topology emphasizes a geometric approach with a focus on surfaces. A primary feature is a large collection of exercises and projects, which fosters a teaching style making the student an active class participant. A wide range of material at different levels supports flexible use of the book for a variety of students. Part I is appropriate for a one semester or two quarter course, and Part II, which id problem based allows the book to be used for a year long course which supports a variety of syllabuses.
Table of Contents
Part I: A Geometric Introduction to Topology 1. Basic Point Set Topology
2. The Classification of Surfaces
3. The Fundamental Group and its Applications
Part II: Covering Spaces, CW Complexes and Homology
4. Covering Spaces
5. CW Complexes
6. Homology
Bibliography
Index
Selected Solutions