Explorations in topology : map coloring, surfaces and knots /
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 h...
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| Format: | eBook |
| Language: | English |
| Published: |
London :
Elsevier,
2014.
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| Edition: | Second edition. |
| Series: | Elsevier insights.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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 |
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| Physical Description: | 1 online resource (315 pages) |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 1306189276 9781306189279 9780124166486 0124166482 9780124166400 0124166407 |