Topology of Surfaces, Knots, and Manifolds

This title consists of a set of ideas and problems involving curves, surfaces and knots. Its aim is to introduce some basic ideas and problems concerning manifolds, especially one- and two-dimensional manifolds, via an intuition-based and example-driven approach.

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Topology of Surfaces, Knots, and Manifolds offers an intuition-based and example-driven approach to the basic ideas and problems involving manifolds, particularly one- and two-dimensional manifolds. A blend of examples and exercises leads the reader to anticipate general definitions and theorems concerning curves, surfaces, knots, and links-the objects of interest in the appealing set of mathematical ideas known as "rubber sheet geometry." The result is a text that is accessible to a broad range of undergraduate students, yet still provides solid coverage of the mathematics underlying these topics.