Description

Book Synopsis

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.



Table of Contents

Introduction and Intuitive Ideas

Manifolds

Classification of Compact Surfaces

Putting More Structure on Surfaces

Graphs and Topology

Knot Theory

Topology of Surfaces Knots and Manifolds

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    A Hardback by Stephan C. Carlson

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      Publisher: John Wiley & Sons Inc
      Publication Date: 17/01/2001
      ISBN13: 9780471355441, 978-0471355441
      ISBN10: 0471355445
      Also in:
      Mathematics

      Description

      Book Synopsis

      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.



      Table of Contents

      Introduction and Intuitive Ideas

      Manifolds

      Classification of Compact Surfaces

      Putting More Structure on Surfaces

      Graphs and Topology

      Knot Theory

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