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I'm studying engineering and I'm very interested in knowing more about topology. I've studied Calculus, so I'm not new to the subject. I was looking for a book that's not too difficult, and gives an overview of topology. That way I can know if I'd like to read more about it. What should I read? Edit: do you think that I should study abstract algebra before topology?

Morpheusthewhite
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  • Really you should study abstract algebra before moving on to topology. You can study topology without algebra, but it's like studying statistics without calculus. – Gregory Grant Aug 30 '17 at 18:45
  • https://math.meta.stackexchange.com/questions/1868/list-of-generalizations-of-common-questions has a list of five previous threads discussing this question and closely related questions. I think you can study topology and abstract algebra in either order. – MJD Aug 30 '17 at 20:07

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Three options that I liked in my student years:

  • Outline of General Topology by Seymour Lipschutz. Includes a good collection of solved problems.

  • General Topology by John L. Kelley. A classic.

  • General Topology by Stephen Willard. The most exhaustive. Includes hystorical notes.
Martín-Blas Pérez Pinilla
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Kinsey's "Topology of Surfaces" is a really nice book for starting out. It's written pedagogically, and it is accessible from an undergraduate level.

Larry B.
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