Topology of surfaces, knots, and manifolds: a first undergraduate course

Stephan C. Carlson9780471355441, 0471355445

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 book that provides solid coverage of the mathematics underlying these topics.