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Topology Now!

Topology Now!

textbook

Part of Mathematical Association of America Textbooks

  • Date Published: May 2006
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • format: Hardback
  • isbn: 9780883857441

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About the Authors
  • Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

    • Develops intuitive geometric ideas before moving on to axiomatic topological ideas
    • The approach allows students rapid access to the exciting geometric ideas of topology
    • The well written text is supplemented by many instructive diagrams, exercises and worked examples
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    Product details

    • Date Published: May 2006
    • format: Hardback
    • isbn: 9780883857441
    • length: 250 pages
    • dimensions: 262 x 183 x 19 mm
    • weight: 0.606kg
    • contains: 120 b/w illus. 397 exercises
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • Table of Contents

    Preface
    Acknowledgments
    1. Deformations
    2. Knots and links
    3. Surfaces
    4. Three-dimensional manifolds
    5. Fixed points
    6. The fundamental group
    7. Metric and topological spaces
    Index.

  • Authors

    Robert Messer, Albion College, Michigan

    Philip Straffin, Beloit College, Wisconsin

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