By David Gay

ISBN-10: 0123708583

ISBN-13: 9780123708588

ISBN-10: 1493300881

ISBN-13: 9781493300884

Explorations in Topology provides scholars a wealthy event with low-dimensional topology, complements their geometrical and topological instinct, empowers them with new ways to fixing difficulties, and gives them with reports that might aid them make feel of a destiny, extra formal topology course.

The cutting edge story-line sort of the textual content versions the problems-solving technique, provides the advance of suggestions in a normal method, and during its informality seduces the reader into engagement with the fabric. The end-of-chapter Investigations supply the reader possibilities to paintings on a number of open-ended, non-routine difficulties, and, via a changed "Moore method", to make conjectures from which theorems emerge. the scholars themselves emerge from those reports possessing options and effects. The end-of-chapter Notes supply old history to the chapter’s principles, introduce general terminology, and make connections with mainstream mathematics.

The ultimate bankruptcy of tasks offers possibilities for persevered involvement in "research" past the themes of the book.

* scholars start to resolve big difficulties correct from the start
* rules spread throughout the context of a storyline, and scholars develop into actively involved
* The textual content types the problem-solving strategy, provides the improvement of options in a average method, and is helping the reader have interaction with the material

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Explorations in Topology: Map Coloring, Surfaces and Knots by David Gay

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