Explorations in Topology: Map Coloring, Surfaces and Knots
David Gay
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.
Thể loại:
Năm:
2006
In lần thứ:
1
Nhà xuát bản:
Academic Press
Ngôn ngữ:
english
Trang:
353
ISBN 10:
0123708583
ISBN 13:
9780123708588
File:
PDF, 8.21 MB
IPFS:
,
english, 2006