| Edition |
Second edition. |
| Description |
1 online resource (315 pages) |
|
text txt rdacontent |
|
computer c rdamedia |
|
online resource cr rdacarrier |
| Series |
Elsevier insights |
|
Elsevier insights.
|
| Note |
Print version record. |
| Summary |
Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research. Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology. Students begin to solve substantial problems from the startIdeas unfold through the context of a storyline, and students become actively involved. The text models the problem-solving process, presents the development of concepts in a natural way, and helps the reader engage with the material |
| Bibliography |
Includes bibliographical references. |
| Contents |
1. Acme does maps and considers coloring them -- 2. Tours -- 3. Maps data -- 4. Map data and map coloring -- 5. How to color a map with four colors -- 6. Doughnuts -- 7. The Mobius strip -- 8. New worlds : Klein bottles and other surfaces -- 9. Surface sums and Euler numbers -- 10. Classification of surfaces -- 11. Classification (Part II), existence and four-space -- 12. Coloring maps on surfaces -- 13. Knots -- 14. Projects. |
| Subject |
Topology.
|
|
Knot theory.
|
|
Topologie.
|
|
Théorie des nœuds.
|
|
Knot theory
|
|
Topology
|
| Other Form: |
Print version: 9781306189279 |
| ISBN |
1306189276 (electronic bk.) |
|
9781306189279 (electronic bk.) |
|
9780124166486 (electronic bk.) |
|
0124166482 (electronic bk.) |
|
9780124166400 (electronic bk.) |
|
0124166407 (electronic bk.) |
| Standard No. |
AU@ 000054755464 |
|
AU@ 000061302200 |
|
CHNEW 001011625 |
|
DEBBG BV042031993 |
|
DEBBG BV042310030 |
|
DEBSZ 405352409 |
|
DEBSZ 414174577 |
|
DEBSZ 431580839 |
|
DKDLA 820120-katalog:9910110313805765 |
|
GBVCP 774066695 |
|
NLGGC 372667694 |
|
NZ1 15342318 |
|
