Explorations in Topology (e-bog) af Gay, David
Gay, David (forfatter)

Explorations in Topology e-bog

317,82 DKK (inkl. moms 397,28 DKK)
Explorations in Topology 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...
E-bog 317,82 DKK
Forfattere Gay, David (forfatter)
Udgivet 7 august 2007
Længde 352 sider
Genrer PBP
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9780080492667
Explorations in Topology 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 "e;Moore method"e;, 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 "e;research"e; beyond the topics of the book.* Students begin to solve substantial problems right from the start* Ideas 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