Explorations in Topology: Map Coloring, Surfaces and Knots - Softcover

Gay, David

Softcover

ISBN 10: 1493300881 ISBN 13: 9781493300884

Verlag: Academic Press, 2014

Inhaltsangabe

This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course. The innovative story-line style of the text models the problems-solving process, presents the development of concepts in a natural way, and through its informality seduces the reader into engagement with the material. The end-of-chapter Investigations give the reader opportunities to work on a variety of open-ended, non-routine problems, and, through a modified "Moore method" to make conjectures from which theorems emerge. The students themselves emerge from these experiences owning concepts and results. The 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 opportunities for continued involvement in "research" beyond the topics of the book.

Details zur Ausgabe

• Verlag: Academic Press
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 1493300881
• ISBN 13: 9781493300884
• Einband: Taschenbuch
• Anzahl der Seiten: 352
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: eVatmaster Consulting GmbH; 497000000000; contact@evatmaster.com; ; Bettinastr. 30,60325; Frankfurt am Main; 60325; Deutschland