Beginning Topology

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Thomson Brooks/Cole, 2005 - Mathematics - 236 pages
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With a nice balance of mathematical precision and accessibility, this text provides a broad introduction to the field of topology. Author Sue Goodman piques student curiosity and interest without losing necessary rigor so that they can appreciate the beauty and fun of mathematics. The text demonstrates that mathematics is an active and ever-changing field with many problems still unsolved, and students will see how the various areas of mathematics – algebra, combinatorics, geometry, calculus, and differential equations – interact with topology. Students learn some of the major ideas and results in the field, do explorations and fairly elementary proofs, and become aware of some recent questions. By presenting a wide range of topics, exercises, and examples, Goodman creates an interactive and enjoyable atmosphere in which to learn topology.

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Contents

SURFACES
36
THE EULER CHARACTERISTIC
66
MAPS AND GRAPHS
90
Copyright

4 other sections not shown

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About the author (2005)

Sue Goodman is Professor of Mathematics at the University of North Carolina at Chapel Hill. Her research is in the area of foliations and dynamical systems, particularly on low dimensional manifolds. Dr. Goodman studies the relationship between dynamical and topological properties of the foliations and their ambient manifolds. She is an exceptional teacher. At UNC-CH, Dr. Goodman received the Graduate Math Association Award for graduate teaching in 1978 and the UNC-CH Tanner Award for undergraduate teaching a few years later in 1981. In 1991-94, she held the post of Bowman Gordon Gray Professor in honor of her undergraduate teaching. In March 2003, she received the SE MAA Distinguished College or University Teaching Award.

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