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Topology of Surfaces, Knots, and Manifolds

Stephan C. Carlson (Author)

9780471355441, Wiley

Hardback, published 17 January 2001

176 pages
24.5 x 16 x 1.3 cm, 0.404 kg

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.

Introduction and Intuitive Ideas

Manifolds

Classification of Compact Surfaces

Putting More Structure on Surfaces

Graphs and Topology

Knot Theory

Subject Areas: Mathematics [PB]

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